A. E. Brouwer - Publications

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Books

Papers (published)

Papers (submitted/to appear)

Reports

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R. J. R. Abel, Bh. Bagchi, C. A. Baker, S. Ball, Zs. Baranyai, J.-C. Bermond, M. R. Best, R. J. Blok, A. Blokhuis, G. T. Bogdanova, J. T. M. van Bon, A. A. Bruen, D. Buset, A. R. Calderbank, P. J. Cameron, L. Chastkofsky, A. Chowdhury, A. M. Cohen, C. J. Colbourn, H. Cuypers, J. van Dalen, I. J. Dejter, A. Delandtsheer, Ph. Delsarte, R. R. Del-Vecchio, J. H. Dinitz, J. Doyen, J. Draisma, J. E. Ducey, P. Duchet, C. A. van Eijl, P. van Emde Boas, T. Etzion, M. van Eupen, D. G. Fon-der-Flaass, P. Frankl, A. Germa, C. D. Godsil, R. Gow, Ç. Güven, W. H. Haemers, J. I. Hall, H. O. Hämäläinen, H. Hanani, J. Hemmeter, S. A. Hobart, P. J. Hoogendoorn, N. Horiguchi, G. Horváth, J. Huizinga, A. V. Ivanov, D. P. Jacobs, A. Jurišić, S. N. Kapralov, M. Kitazume, M. H. Klin, H. Kok, A. W. J. Kolen, J. H. Koolen, E. W. Lambeck, H. W. Lenstra, jr., H. Lenz, J. H. van Lint, J. van de Lune, F. J. MacWilliams, W. J. Martin, D. M. Mesner, C. F. Mills, W. H. Mills, I. Molnár-Sáska, H. M. Mulder, T. Mussche, H. Nakasora, A. Neumaier, M. V. M. Nguyen, M. Numata, A. M. Odlyzko, O. Olmez, P. R. J. Östergård, D. V. Pasechnik, B. Patkós, R. Pellikaan, C. L. Pippel, P. Piret, M. Popoviciu, E. C. Posner, G. F. Post, E. Postma, D. A. Preece, G. H. J. van Rees, Z. Reichstein, R. J. Riebeek, A. Sali, A. Schrijver, J. B. Shearer, J. Sheekey, S. V. Shpectorov, E. E. Shult, P. Sin, N. J. A. Sloane, W. D. Smith, S. Y. Song, E. Spence, L. Storme, C. Szabó, T. Szőnyi, C. Thomassen, R. Tijdeman, L. M. G. M. Tolhuizen, V. D. Tonchev, V. Trevisan, H. J. Veldman, A. Verbeek, E. R. Verheul, T. Verhoeff, C. T. M. Vinagre, M. Voorhoeve, A. J. de Vries, I. M. Wanless, D. L. Wehlau, Z. Weiner, R. M. A. Wieringa, H. A. Wilbrink, R. M. Wilson, G. J. Woeginger, A. Woldar, Q. Xiang.

Years

1975 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014

Books

A. E. Brouwer, Treelike spaces and related connected topological spaces, Math. Centr. Tracts 75, Math. Centr., Amsterdam, 1977. MR 57#13882; Zbl 396.54013. Scan

A. E. Brouwer, A. M. Cohen & A. Neumaier, Distance-regular graphs, Ergebnisse der Mathematik 3.18, Springer, Heidelberg, 1989. Zbl 747.05073

A. E. Brouwer & W. H. Haemers, Spectra of graphs, Springer, New York, etc., 2012. ISBN 978-1-4614-1938-9.

The book was released on the 16th of December 2011. However, the copyright year is 2012.

Papers (published)

1975

A. E. Brouwer, On the number of unique subgraphs of a graph, J. Combin. Th. (B) 18 (1975) 184-185. MR 54#5039; Zbl 299.05111

1977

M. R. Best & A. E. Brouwer, The triply shortened binary Hamming code is optimal, Discrete Math. 17 (1977) 235-245. MR 55#14400; Zbl 356.94009

A. E. Brouwer, H. Hanani & A. Schrijver, Group-divisible designs with block-size four, Discrete Math. 20 (1977) 1-10. MR 57#5780; Zbl 371.62105
Republished as Discrete Math. 306 (2006) 939-947.

1978

A. E. Brouwer & A. Schrijver, The blocking number of an affine space, J. Combin. Th. (A) 24 (1978) 251-253. MR 58#293; Zbl 373.05020. Scan. (= Report ZN64, Math. Centr., Amsterdam, Jun. 1976)

J.-C. Bermond, A. E. Brouwer & A. Germa, Systèmes de triplets et différences associées, pp. 35-38 in: Problèmes Combinatoires et Théorie des Graphes, Proc. Orsay 1976, Colloq. Intern. du C.N.R.S. No. 260, J.-C. Bermond, J.-C. Fournier, M. Las Vergnas & D. Sotteau (eds.) Gauthier-Villars, Paris, 1978. MR 80j:05020; Zbl 412.05012

A. E. Brouwer, On associative block designs, pp 173-184 in: Proc. Fifth Hungarian Coll. on Combinatorics, Keszthely 1976, Coll. Math. Soc. János Bolyai 18, Combinatorics, North Holland Publishing Company, Amsterdam, 1978. MR 80d:05009; Zbl (328.05008) 383.05006

M. R. Best, A. E. Brouwer, F. J. MacWilliams, A. M. Odlyzko & N. J. A. Sloane, Bounds for binary codes of length less than 25, IEEE Trans. Inform. Th. IT-24 (1978) 81-93. MR 57#19066; Zbl 369.94011 (Abstract Some new bounds on the size of codes in: Proc. 7th southeast. Conf. Comb., Graph Theory, Comput.; Baton Rouge 1976, 499-500 (1976). Zbl 338.94003) (Russian transl. in: Kibern. Sb. Nov. Ser. 17 (1980) 28-59. Zbl 456.94015)

A. E. Brouwer, Two new Nearly Kirkman Triple Systems, Utilitas Math. 13 (1978) 311-314 MR 58#10527; Zbl 379.05008

A. E. Brouwer, On the packing of quadruples without common triples, Ars Combinatoria 5 (1978) 3-6. MR 58#5298; Zbl 442.05019

A. E. Brouwer, A. J. de Vries & R. M. A. Wieringa, A lower bound for the length of partial transversals in a Latin square, Nieuw Archief voor Wiskunde (3) 26 (1978) 330-332. MR 58#282; Zbl 395.05012

1979

A. E. Brouwer & A. Schrijver, Uniform hypergraphs, pp 39-73 in: Packing and Covering in Combinatorics, Study week Amsterdam 1978, A. Schrijver (ed.), Mathematical Centre Tracts 106, Math. Centr., Amsterdam, 1979. Zbl 438.05003. Scan

A. E. Brouwer, Wilson's theory, pp 75-88 in: Packing and Covering in Combinatorics, A. Schrijver (ed.), Math. Centr. Tracts 106, Math. Centr., Amsterdam, 1979. Zbl 438.05014

A. E. Brouwer, Packing and covering of ${k \choose t}$-sets, pp 89-97 in: Packing and Covering in Combinatorics, A. Schrijver (ed.), Mathematical Centre Tracts 106, Math. Centr., Amsterdam, 1979. Zbl 438.05023

A. E. Brouwer & M. Voorhoeve, Turán theory and the lotto problem, pp 99-105 in: Packing and Covering, A. Schrijver (ed.), Math. Centre Tracts 106, Amsterdam, 1979. Zbl 438.05025

A. E. Brouwer & H. Lenz, Unterräume von Blockplänen, pp 383-389 in: Contributions to Geometry, Proc. Siegen 1978, J. Toelke & J. M. Wills (eds.), Birkhäuser Verlag, Basel, 1979. MR 82e:05026; Zbl 425.51006

A. E. Brouwer, Optimal packings of $K_4$'s into a $K_n$, J. Combin. Th. (A) 26 (1979) 278-297. MR 80j:05049; Zbl (341.05020) 412.05030

1980

A. E. Brouwer, P. Delsarte & P. Piret, On the (23,14,5) Wagner code, IEEE Trans. Inform. Th. 26 (1980) 742-743. MR 82b:94021; Zbl 466.94021

A. E. Brouwer, A few new constant weight codes, IEEE Trans. Inform. Th. 26 (1980) 366. MR 81b:94039; Zbl 427.94019

A. E. Brouwer, A series of separable designs with application to pairwise orthogonal Latin squares, Eur. J. Combin. 1 (1980) 39-41. MR 81i:05035; Zbl (417.05009) 472.05013

T. G. L. Zetters, `Eight in a row' is a draw, Amer. Math. Monthly 87 (1980) 575-576. Reprint p1, p2.

1981

A. E. Brouwer, The linear spaces on 15 points, Ars Combinatoria 12 (1981) 3-35. MR 83b:05031; Zbl (417.05016) 481.05019

A. E. Brouwer & H. Lenz, Subspaces of linear spaces of line size four, Eur. J. Combin. 2 (1981) 323-330. MR 83g:05011; Zbl 477.05016

A. E. Brouwer, On the size of a maximum transversal in a Steiner triple system, Canad. J. Math. 33 (1981) 1202-1204. MR 83c:05018; Zbl (422.05012) 481.05016

A. E. Brouwer & R. Tijdeman, On the edge-colouring problem for unions of complete uniform hypergraphs, Discrete Math. 34 (1981) 241-260. MR 82m:05043; Zbl 471.05049. Scan

A. E. Brouwer, Some unitals on 28 points and their embeddings in projective planes of order 9, pp 183-188 in: Geometries and groups (Proceedings Berlin 1981), M. Aigner & D. Jungnickel (eds.), Lecture Notes in Math. 893, Springer, Heidelberg 1981. (Not the same as Math. Centre report ZW155/81.) MR 83g:51010; Zbl 557.51002

1982

A. E. Brouwer & H. A. Wilbrink, Blocking sets in translation planes, J. Geometry 19 (1982) 200. MR 84f:51027; Zbl 508.51007

A. E. Brouwer & P. van Emde Boas, A note on `Master keys for group sharing', Inform. Proc. Letters 14 (1982) 12-14. MR 83h:94019; Zbl 495.94006

A. E. Brouwer, The uniqueness of the near hexagon on 729 points, Combinatorica 2 (1982) 333-340. MR 85c:51026; Zbl (466.05021) 509.05028. Scan

A. E. Brouwer & G. H. J. van Rees, More mutually orthogonal Latin squares, Discrete Math. 39 (1982) 263-281. MR 84c:05019; Zbl 486.05015. Scan

A. E. Brouwer, Polarities of G. Higman's symmetric design and a strongly regular graph on 176 vertices, Aequationes Math. 25 (1982) 77-82. MR 85e:05089; Zbl (477.05015) 518.05039. Scan

1983

A. E. Brouwer, The uniqueness of the near hexagon on 759 points, pp 47-60 in: Finite Geometries, T. G. Ostrom Conf. Pullman 1981, N. L. Johnson, M. J. Kallaher & C. T. Long (eds.), Lecture Notes in Pure and Applied Math. 82, Marcel Dekker, New York, 1983. MR 84d:51021; Zbl (448.05020) 505.05020

A. E. Brouwer & A. M. Cohen, Some remarks on Tits geometries, Indag. Math. 45 (1983) 393-402. (With an appendix by J. Tits.) MR 85c:51023; Zbl 541.51011. Scan

A. E. Brouwer, P. Duchet & A. Schrijver, Graphs whose neighbourhoods have no special cycles, Discrete Math. 47 (1983) 177-182. PDF MR 85h:05077; Zbl 546.05047

A. E. Brouwer & H. A. Wilbrink, The structure of near polygons with quads, Geom. Dedicata 14 (1983) 145-176 MR 85b:05045; Zbl 521.51013

A. E. Brouwer, The uniqueness of the strongly regular graph on 77 points, J. Graph Th. 7 (1983) 455-461. MR 86b:05062; Zbl (445.05052) 523.05021. Scan

A. E. Brouwer, On the uniqueness of a certain thin near octagon (or partial 2-geometry, or parallelism) derived from the binary Golay code, IEEE Trans. Inform. Th. IT-29 (1983) 370-371. MR 85e:05150; Zbl 505.94014. Scan

H. A. Wilbrink & A. E. Brouwer, A (57,14,1) strongly regular graph does not exist, Indag. Math. 45 (1983) 117-121. MR 84i:05101; Zbl 511.05056 (Math. Centr. report ZW121, Dec. 1978. Zbl 393.05028)

1984

H. A. Wilbrink & A. E. Brouwer, A characterization of two classes of semi-partial geometries by their parameters, Simon Stevin 58 (1984) 273-288. MR 86e:51020; Zbl 558.51009

A. Blokhuis & A. E. Brouwer, Uniqueness of a Zara graph on 126 points and non-existence of a completely regular two-graph on 288 points, pp 6-19 in: Papers dedicated to J. J. Seidel, P. J. de Doelder, J. de Graaf & J. H. van Lint (eds.) Eindhoven Univ. Techn. report 84-WSK-03, Aug 1984. Zbl 554.05049

A. E. Brouwer, Four MOLS of order 10 with a hole of order 2, J. Statist. Plann. Inference 10 (1984) 203-205. MR 86c:62091; Zbl 553.05022. Scan

A. E. Brouwer, Distance regular graphs of diameter 3 and strongly regular graphs, Discrete Math. 49 (1984) 101-103. MR 86a:05094; Zbl 538.05024. Scan

A. E. Brouwer & H. A. Wilbrink, A symmetric design with parameters 2-(49,16,5), J. Combin. Th. (A) 37 (1984) 193-194. MR 85i:05031; Zbl 541.05013. Scan

A. E. Brouwer & J. H. van Lint, Strongly regular graphs and partial geometries, pp 85-122 in: Enumeration and Design - Proc. Silver Jubilee Conf. on Combinatorics, Waterloo, 1982, D. M. Jackson & S. A. Vanstone (eds.), Academic Press, Toronto, 1984. MR 87c:05033; Zbl 555.05016. Scan. Russian transl. in Kibern. Sb. Nov. Ser. 24 (1987) 186-229. Zbl 636.05013

1985

A. Blokhuis, A. E. Brouwer, D. Buset & A. M. Cohen, The locally icosahedral graphs, pp 19-22 in: Finite geometries, Proc. Winnipeg 1984, C. A. Baker & L. M. Batten (eds.) Lecture Notes in Pure and Applied Math. 103, Marcel Dekker, New York, 1985. MR 87k:05133; Zbl 587.05059. Scan

A. E. Brouwer, Some new two-weight codes and strongly regular graphs, Discrete Applied Math. 10 (1985) 111-114 MR 86d:05023; Zbl 561.94008. Scan
[The construction of this paper is generalized in N. Hamilton, Strongly regular graphs from differences of quadrics, preprint, 2001.]

A. E. Brouwer & D. M. Mesner, The connectivity of strongly regular graphs, Eur. J. Combin. 6 (1985) 215-216. MR 87i:05132; Zbl 607.05045. Scan

A. E. Brouwer & A. M. Cohen, Computation of some parameters of Lie geometries, pp 1-48 in: Algorithms in Combinatorial Design Theory, C. J. & M. J. Colbourn (eds.), Ann. Discrete Math. 26, North Holland, Amsterdam, 1985. MR 87h:51015; Zbl 575.51008. Scan

1986

A. Blokhuis & A. E. Brouwer, Blocking sets in desarguesian projective planes, Bull. London Math. Soc. 18 (1986) 132-134. MR 87c:51013; Zbl (563.05016) 577.05019. Scan

A. E. Brouwer & A. R. Calderbank, An Erdös-Ko-Rado theorem for regular intersecting families of octads, Graphs Combin. 2 (1986) 309-316. Zbl 616.05010

A. E. Brouwer, Uniqueness and nonexistence of some graphs related to $M_{22}$, Graphs Combin. 2 (1986) 21-29. MR 92e:05092; Zbl 592.05027. Scan

A. E. Brouwer, An inequality in binary vector spaces, Discrete Math. 59 (1986) 315-317. MR 87h:05051; Zbl 598.51010. Scan. (= Math. Centr. report ZW150, Feb. 1981. MR 82c:05040; Zbl 448.51009)

A. E. Brouwer & A. M. Cohen, Local recognition of Tits geometries of classical type, Geom. Dedicata 20 (1986) 181-199. MR 87m:51006; Zbl 585.51010. PDF Scan

1987

A. Blokhuis, A. E. Brouwer, A. Delandtsheer & J. Doyen, Orbits on points and lines in finite linear and quasilinear spaces, J. Combin. Th. (A) 44 (1987) 159-163. Zbl 606.51009. Scan

A. E. Brouwer, E. C. Posner & Z. Reichstein, Hadamard codes which have an even number of ones in each half, Utilitas Math. 32 (1987) 131-140. Zbl 643.94013

A. E. Brouwer & H. J. Veldman, Contractibility and NP-completeness, J. Graph Th. 11 (1987) 71-79. Zbl 603.05016. Scan

A. E. Brouwer & E. W. Lambeck, An inequality on the parameters of distance regular graphs and the uniqueness of a graph associated to $M_{23}$, Ann. Discrete Math. 34 (1987) 100-106. Zbl 629.05055

1988

J. T. M. van Bon & A. E. Brouwer, The distance-regular antipodal covers of classical distance-regular graphs, pp 141-166 in: Colloq. Math. Soc. János Bolyai, Proc. Eger 1987, 1988. Zbl 747.05038. Scan

A. Blokhuis & A. E. Brouwer, Geodetic graphs of diameter two, Geom. Dedicata 25 (1988) 527-533. Zbl 667.05037

A. E. Brouwer & A. Neumaier, A remark on partial linear spaces of girth 5 with an application to strongly regular graphs, Combinatorica 8 (1988) 57-61. Zbl 668.05015. Scan. (= Strongly regular graphs where mu equals two and lambda is large, Math. Centrum Report ZW151/81, Amsterdam, Mar. 1981. MR 82k:05032; Zbl 448.05021)

1989

A. Blokhuis, A. E. Brouwer & H. A. Wilbrink, Heden's bound on maximal partial spreads, Discrete Math. 74 (1989) 335-339. Zbl 664.51007

A. Blokhuis & A. E. Brouwer, Locally 4-by-4 grid graphs, J. Graph Th. 13 (1989) 229-244. Zbl 705.05057 and Zbl 722.05054

A. E. Brouwer, A unital in the Hughes plane of order nine, Discrete Math. 77 (1989) 55-56. Zbl 719.05013

A. E. Brouwer, A. V. Ivanov & M. H. Klin, Some new strongly regular graphs, Combinatorica 9 (1989) 339-344. Zbl 709.05040

A. E. Brouwer, A remark on association schemes with two P-polynomial structures, Eur. J. Combin. 10 (1989) 523-526. Zbl 698.05020

A. E. Brouwer & A. Neumaier, The graphs with spectral radius between 2 and √ (2 + √5), Lin. Alg. Appl. 114/115 (1989) 273-276. Zbl 678.05038

A. E. Brouwer, Uniqueness of the Biggs-Smith graph, pp 75-78 in: Graph theory in memory of G. A. Dirac, Proc. Sandbjerg 1985, L. D. Andersen e.a. (eds.), North Holland, 1989. (Ann. Discrete Math. 41 (1989) 75-78) Zbl 668.05050

1990

C. A. Baker, Aart Blokhuis, Andries E. Brouwer & Henny A. Wilbrink, Characterization theorems for failed projective and affine planes, pp. 42-53 in: Coding Theory and Design Theory, Part II: Design Theory, Dijen Ray-Chaudhuri, ed., Springer, New York, 1990. Zbl 707.51006

A. E. Brouwer & E. E. Shult, Graphs with odd cocliques, Eur. J. Combin. 11 (1990) 99-104. Zbl 717.05060

A. E. Brouwer, James B. Shearer, N. J. A. Sloane & Warren D. Smith, A new table of constant weight codes, IEEE Trans. Inform. Th. 36 (1990) 1334-1380. Zbl 713.94017

A. E. Brouwer & H. A. Wilbrink, Ovoids and fans in the generalized quadrangle GQ(4,2), Geom. Dedicata 36 (1990) 121-124. (= Math. Centr. Report ZN102, Oct. 1981) Zbl 716.51007

A. E. Brouwer, A note on completely regular codes, Discrete Math. 83 (1990) 115-117. Zbl 706.94022

1991

B. Bagchi, A. E. Brouwer & H. A. Wilbrink, Notes on binary codes related to the O(5,q) generalized quadrangle for odd q, Geom. Dedicata 39 (1991) 339-355. Zbl 734.94019

Aart Blokhuis, Andries E. Brouwer & Henny A. Wilbrink, Hermitian unitals are code words, Discrete Math. 97 (1991) 63-68. Zbl 758.05025

A. E. Brouwer, A non-degenerate generalized quadrangle with lines of size four is finite, pp 47-49 in: Advances in Finite Geometries and Designs, Proc. Isle of Thorns 1990, J. W. P. Hirschfeld, D. R. Hughes & J. A. Thas (eds.), Oxford Univ. Press, 1991. Zbl 734.51005

A. E. Brouwer, Recursive constructions of mutually orthogonal Latin squares, pp 149-168 in: Latin squares - new developments in the theory and applications, J. Dénes & A. D. Keedwell (eds.), North Holland, Amsterdam, 1991. (Ann. Discrete Math. 46 (1991) 149-168) Zbl 742.05017

1992

A. E. Brouwer & Joe Hemmeter, A new family of distance-regular graphs and the {0,1,2}-cliques in dual polar graphs, Eur. J. Combin. 13 (1992) 71-79. Zbl 762.05041

A. Blokhuis & A. E. Brouwer, Locally $K_{3,3}$ or Petersen graphs, Discrete Math. 106/107 (1992) 53-60. Zbl 772.05071

A. E. Brouwer & W. H. Haemers, Structure and uniqueness of the (81,20,1,6) strongly regular graph, Discrete Math. 106/107 (1992) 77-82. Zbl 764.05098

A. E. Brouwer, W. H. Haemers & H. A. Wilbrink, Some 2-ranks, Discrete Math. 106/107 (1992) 83-92. Zbl 757.94019

A. E. Brouwer & C. A. van Eijl, On the p-rank of the adjacency matrices of strongly regular graphs, J. Alg. Comb. 1 (1992) 329-346. Zbl 780.05039

1993

A. E. Brouwer & J. H. Koolen, A new infinite series of regular uniformly geodetic code graphs, Discr. Math. 120 (1993) 241-247. Zbl 781.05017

A. E. Brouwer, I. J. Dejter & C. Thomassen, Highly symmetric subgraphs of hypercubes, J. Alg. Comb. 2 (1993) 25-29. Zbl 788.05041

A. E. Brouwer & W. H. Haemers, The Gewirtz graph - an exercise in the theory of graph spectra, Europ. J. Comb. 14 (1993) 397-407. Zbl 794.05076

A. E. Brouwer, On complete regularity of extended codes, Discrete Math. 117 (1993) 271-273. Zbl 778.94010

A. E. Brouwer, The linear programming bound for binary linear codes, IEEE Trans. Inform. Th. 39 (1993) 677-680 Zbl 776.94018

A. E. Brouwer & T. Verhoeff, An updated table of minimum-distance bounds for binary linear codes, IEEE Trans. Inform. Th. 39 (1993) 662-677 Zbl 776.94017

A. E. Brouwer & L. M. G. M. Tolhuizen, A sharpening of the Johnson bound for binary linear codes and the nonexistence of linear codes with Preparata parameters, Designs, Codes & Cryptography 3 (1993) 95-98. Zbl 770.94005

A. E. Brouwer, D. G. Fon-der-Flaass & S. V. Shpectorov, Locally co-Heawood graphs, pp 59-68 in: Finite geometry and combinatorics - Proc. Deinze 1992, F. De Clerck et al. (eds.), London Math. Soc. Lect. Note Ser. 191, Cambridge Univ. Press, 1993. Zbl 787.05085

A. E. Brouwer, The complement of a geometric hyperplane in a generalized polygon is usually connected, pp 53-57 in: Finite geometry and combinatorics - Proc. Deinze 1992, F. De Clerck et al. (eds.), London Math. Soc. Lect. Note Ser. 191, Cambridge Univ. Press, 1993. Zbl 794.51003

1994

A. E. Brouwer, A. M. Cohen, J. I. Hall & H. A. Wilbrink, Near polygons and Fischer spaces, Geometriae Dedicata 49 (1994) 349-368. Zbl 801.51012. Scan

A. E. Brouwer, On the uniqueness of a regular thin near octagon on 288 vertices (or the semibiplane belonging to the Mathieu group M_12), Discr. Math. 126 (1994) 13-27. Zbl (547.51007) 793.51003.

A. E. Brouwer & M. Numata, A characterization of some graphs which do not contain 3-claws, Discr. Math. 124 (1994) 49-54. Zbl 791.05084

A. E. Brouwer, Finite graphs in which the point neighbourhoods are the maximal independent sets, pp 231-233 in: From Universal Morphisms to Megabytes: A Baayen Space Odyssey, K. R. Apt, A. Schrijver & N. M. Temme (eds.), Stichting Mathematisch Centrum, Amsterdam, 1994. Zbl 838.05088. Scan (view at 25%), preprint.

1995

A. E. Brouwer, Joe Hemmeter & Andrew Woldar, The complete list of maximal cliques of Quad (n,q), q odd, Eur. J. Combin. 16 (1995) 107-110. Zbl 854.05101

A. E. Brouwer & H. A. Wilbrink, Block Designs, pp 349-382 in: Handbook of incidence geometry, F. Buekenhout (ed.), Elsevier, Amsterdam, 1995. Zbl 823.51007

A. Blokhuis, A. E. Brouwer & T. Szőnyi, The number of directions determined by a function f on a finite field, J. Combin. Th. (A) 70 (1995) 349-353. Zbl 823.51013

A. E. Brouwer, Toughness and spectrum of a graph, Lin. Alg. Appl. 226-228 (1995) 267-271. Zbl 833.05048. preprint.

A. E. Brouwer, Block Designs, pp 693-745 in: Handbook of Combinatorics, R. Graham, M. Groetschel, L. Lovász, eds., Elsevier, 1995. Zbl 848.05008

A. E. Brouwer & W. H. Haemers, Association schemes, pp 747-771 in: Handbook of Combinatorics, R. Graham, M. Groetschel, L. Lovász, eds., Elsevier, 1995. Zbl 849.05072

A. E. Brouwer, Variations on a theme by Weetman, Discrete Math. 138 (1995) 137-145. Zbl 821.05058

A. E. Brouwer, Spectrum and connectivity of graphs, preprint (Nov. 1993). Proc. Symp. on Algebraic Combinatorics, Kyoto, 1993. 代数的組合せ論の研究 (Research into algebraic combinatorics (Japanese)), RIMS Kôkyûroku 896 (1995) 58-62. PDF

1996

A. E. Brouwer, A. A. Bruen & D. L. Wehlau, There exist caps which block all spaces of fixed codimension in $PG(n,2)$, J. Comb. Th. (A) 73 (1996) 168-169. Zbl 843.51012

R. J. R. Abel, A. E. Brouwer, C. J. Colbourn & J. H. Dinitz, Mutually Orthogonal Latin Squares, pp 111-142 in: The CRC Handbook of Combinatorial Designs, C. J. Colbourn, J. H. Dinitz, eds., CRC Press, 1996. Zbl 849.05009

A. E. Brouwer, Strongly regular graphs, pp 667-685 in: The CRC Handbook of Combinatorial Designs, C. J. Colbourn, J. H. Dinitz, eds., CRC Press, 1996. Zbl 848.05071

A. E. Brouwer, Spectrum and connectivity of graphs, CWI Quarterly 9 (1996) 37-40. Zbl 872.05034. Scan

1997

A. Blokhuis & A. E. Brouwer, Determination of the distance-regular graphs without 3-claws, Discrete Math. 163 (1997) 225-227. Zbl 871.05062. preprint.

A. E. Brouwer & H. M. Mulder, The vertex connectivity of a $\{0,2\}$-graph equals its degree, Discrete Math. 169 (1997) 153-155. Zbl 873.05062. preprint.

A. E. Brouwer & M. van Eupen, The correspondence between projective codes and 2-weight codes, Designs, Codes and Cryptography 11 (1997) 261-266. Zbl 872.94043

A. E. Brouwer, W. H. Haemers & V. D. Tonchev, Embedding Partial Geometries in Steiner Designs, pp. 33-41 in: Geometry, Combinatorial Designs and Related Structures, Proceedings of the First Pythagorean Conference, J. W. P. Hirschfeld, S. S. Magliveras, M. J. de Resmini (eds.), Cambridge University Press, 1997. Zbl 892.51004. preprint.

1998

A. E. Brouwer, H. O. Hämäläinen, P. R. J. Östergård & N. J. A. Sloane, Bounds on Mixed Binary/Ternary Codes, IEEE Trans. Inf. Th. 44 (1998) 140-161. Zbl 980.34703. preprint (Jan. 1997).

R. J. Blok & A. E. Brouwer, The geometry far from a residue pp. 29-38 in: Groups and Geometries, L. di Martino, W. M. Kantor, G. Lunardon, A. Pasini, M. C. Tamburini (eds.), Birkhaüser Verlag, Basel, 1998. Zbl 899.51005. preprint (Dec. 1996).

A. E. Brouwer & R. J. Riebeek, The spectrum of the second subconstituent of the bilinear forms graph $H_q(d,e)$, Europ. J. Combin. 19 (1998) 299-305. Zbl 980.42948. preprint (May 1997).

A. E. Brouwer, Linear spaces of quadrics and new good codes, Bull. Belg. Math. Soc. 5 (1998) 177-180. preprint (April 1997).

A. E. Brouwer & R. J. Riebeek, The spectra of Coxeter graphs, J. Alg. Comb. 8 (1998) 15-28. preprint (1993).

A. E. Brouwer, J. H. Koolen & R. J. Riebeek, A new distance-regular graph associated to the Mathieu group $M_{10}$, J. Alg. Comb. 8 (1998) 153-156. preprint (May 1993).

R. J. Blok & A. E. Brouwer, Spanning point-line geometries in buildings of spherical type, J. Geometry 62 (1998) 26-35. Zbl 980.42880

A. E. Brouwer, Bounds on the size of linear codes, pp. 295-461 in: Handbook of Coding Theory, V. S. Pless and W. C. Huffman, eds., Elsevier, Amsterdam, 1998.

1999

A. Blokhuis, S. Ball, A. E. Brouwer, L. Storme & T. Szőnyi, On the number of slopes of the graph of a function defined on a finite field, JCT (A) 86 (1999) 187-196.

A. E. Brouwer & J. H. Koolen, The distance-regular graphs of valency four, J. Alg. Combin. 10 (1999) 5-24. preprint (Nov. 1996).

A. E. Brouwer, R. M. Wilson & Qing Xiang, Cyclotomy and Strongly Regular Graphs, J. Alg. Combin 10 (1999) 25-28. preprint (June 1997).

A. E. Brouwer, An associative block design $ABD(8,5)$, SIAM. J. Comput. 28 (1999) 1970-1971 (electronic). preprint.

A. Blokhuis & A. E. Brouwer, The universal embedding dimension of the near polygon on the 1-factors of a complete graph, Designs, Codes and Cryptography 17 (1999) 299-303. preprint.

A. E. Brouwer, R. Pellikaan & E. R. Verheul, Doing more with fewer bits, pp. 321-332 in Advances in Cryptology Asiacrypt '99, K. Y. Lam, E. Okamoto and C.-P. Xing, Eds., Lect. Notes Comp. Sci. 1716, Springer, Berlin 1999. preprint

2000

A. E. Brouwer, Locally Paley graphs, Designs, Codes and Cryptography 21 (2000) 69-76. preprint, Sep. 1999.

2001

G. T. Bogdanova, A. E. Brouwer, S. N. Kapralov & P. R. J. Östergård, Error-Correcting Codes over an Alphabet of Four Elements, Designs, Codes and Cryptography 23 (2001) 333-342. preprint, Feb. 2000.
Abstract in: Proc. 2000 IEEE International Symposium on Information Theory (ISIT 2000), Sorrento, Italy, 25-30 June 2000, p. 142.

2002

A. E. Brouwer, H. Cuypers & E. W. Lambeck, The hyperplanes of the $M_{24}$ near polygon, Graphs Combin. 18 (2002) 415-420. preprint (Aug 2000).

A. E. Brouwer, Automatic summation using Zeilberger-Wilf theory, Nieuw Archief voor Wiskunde 3 (2002) 308-312. preprint.

2003

A. Blokhuis & A. E. Brouwer, The universal embedding dimension of the binary symplectic dual polar space, Discrete Math. 264 (2003) 3-11.

A. E. Brouwer, J. H. Koolen & M. H. Klin, A root graph that is locally the line graph of the Petersen graph, Discrete Math. 264 (2003) 13-24. preprint (Aug 2000).

A. E. Brouwer, C. D. Godsil, J. H. Koolen & W. J. Martin, Width and dual width of subsets in polynomial association schemes, J. Combin. Th. (A) 102 (2003) 255-271.

A. E. Brouwer, Bounds on linear codes over a small alphabet, Appendix (pp. 412-454) in the book
Dmitrii Nogin, Michael A. Tsfasman, Serge Vladuts, Algebraic geometry codes. Basic notions. Independent University of Moscow, MCCME. Moscow, 2003. (Russian)

A. Blokhuis, A. E. Brouwer & H. A. Wilbrink, Blocking sets in PG(2,p) for small p, and partial spreads in PG(3,7), Advances in Geometry, special issue (2003) S245-S253. preprint (Apr 2001).

2004

A. Blokhuis & A. E. Brouwer, Small additive quaternary codes. Europ. J. Combin. 25 (2004) 161-167. preprint.

A. E. Brouwer, On the connectivity of distance-regular graphs, Proc. Workshop on Distance-Regular Graphs and Finite Geometry, Busan, Korea, July 2004, pp. 111-113.

2005

A. E. Brouwer & W. H. Haemers, Eigenvalues and perfect matchings, Lin. Alg. Appl. 395 (2005) 155-162. preprint.

Andries E. Brouwer, Gábor Horváth, Ildikó Molnár-Sáska & Csaba Szabó, On three-rowed Chomp, Electronic J. Combin. Number Th. 5 (2005) #G07.

Andries E. Brouwer, Chomp on a binary projective space, Bayreuther Mathematische Schriften 74 (2005) 76-78.

2006

A. E. Brouwer, A. M. Cohen, M. V. M. Nguyen, Orthogonal arrays of strength 3 and small run sizes, J. Statist. Planning and Inference 136 (2006) 3268-3280. Preprint: TeX PDF.

A. E. Brouwer, P. J. Cameron, W. H. Haemers & D. A. Preece, Self-dual, not self-polar, Discr. Math. 306 (2006) 3051-3053. preprint (2003).

Andries E. Brouwer, Classification of small (0,2)-graphs, J. Combinatorial Th. (A) 113 (2006) 1636-1645. preprint. PDF version: recta.pdf.

A. E. Brouwer, Sudoku puzzles and how to solve them, Nieuw Archief Wisk. (Ser. 5) 7 (2006) 258-263. preprint and reprint. (The publication is a somewhat mutilated version of the preprint.)

A. E. Brouwer, Strongly regular graphs, pp 852-867 in: The CRC Handbook of Combinatorial Designs, 2nd edition, C. J. Colbourn, J. H. Dinitz, eds., CRC Press, 2006. ISBN 1-58488-506-8

A. E. Brouwer & S. A. Hobart, Directed strongly regular graphs, pp 868-874 in: The CRC Handbook of Combinatorial Designs, 2nd edition, C. J. Colbourn, J. H. Dinitz, eds., CRC Press, 2006. ISBN 1-58488-506-8

2007

A. E. Brouwer, On the connectivity of distance-regular graphs, pp 17-18 in: Algebraic Combinatorics, An International Conference in Honor of Eiichi Bannai's 60th Birthday, Sendai, June 26-30, 2006, edited by A. Munemasa et al., 2007.

Aart Blokhuis, Andries E. Brouwer & Willem H. Haemers, On 3-chromatic distance-regular graphs, Designs, Codes and Cryptography 44 (2007) 293-305. preprint.

A. E. Brouwer, Sudoku puzzles and how to solve them, Newsletter of the European Math. Soc. 66 (Dec 2007) 13-17. (Reprint in B&W of the acticle that appeared earlier in NAW, see above.)

2008

A. E. Brouwer, Small integral trees, Electronic J. Combinatorics 15 (2008) N1. on-line

Andries E. Brouwer, Gerhard F. Post & Gerhard J. Woeginger, Tight bounds for break minimization, J. Combin. Th. (A) 115 (2008) 1065-1068.

A. E. Brouwer, A. Jurišić & J. H. Koolen, Characterization of the Patterson graph, J. Algebra 320 (2008) 1878-1886. preprint, 2004.

A. E. Brouwer & W. H. Haemers, A lower bound for the Laplacian eigenvalues of a graph: Proof of a conjecture by Guo, Lin. Alg. Appl. 429 (2008) 2131-2135.

A. E. Brouwer & W. H. Haemers, The integral trees with spectral radius 3, Lin. Alg. Appl. 429 (2008) 2710-2718. Preprint in TeX, PDF, 2007.

2009

Andries E. Brouwer & Patric R. J. Östergård, Classification of the (0,2)-graphs of valency 8, Discr. Math. 309 (2009) 532-547. preprint in TeX, DVI, 2006.

A. E. Brouwer & J. H. Koolen, The vertex-connectivity of a distance-regular graph, Eur. J. Combin. 30 (2009) 668-673. preprint, July 2006.

Andries E. Brouwer, Naoyuki Horiguchi, Masaaki Kitazume & Hiroyuki Nakasora, A construction of the sporadic Suzuki graph from U3(4), JCT (A) 116 (2009) 1056-1062.

A. E. Brouwer & E. Spence, Cospectral Graphs on 12 Vertices, Electr. J. Combin. 16(1) (2009) N20. PDF

2010

A. E. Brouwer, The eigenvalues of oppositeness graphs in buildings of spherical type, pp. 1-10 in: Combinatorics and Graphs, R. A. Brualdi, S. Hedayat, H. Kharaghani, G. B. Khosrovshahi, S. Shahriari (eds.), AMS Contemporary Mathematics Series 531, 2010.

A. E. Brouwer & M. Popoviciu, The invariants of the binary nonic, J. Symb. Comput. 45 (2010) 709-720.

A. E. Brouwer & M. Popoviciu, The invariants of the binary decimic, J. Symb. Comput. 45 (2010) 837-843.

A. Blokhuis, A. E. Brouwer, A. Chowdhury, P. Frankl, T. Mussche, B. Patkós & T. Szőnyi, A Hilton-Milner theorem for vector spaces, Electr. J. of Combinatorics 17 (2010) R71.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, Covering all points except one, J. Algebr. Combin. 32 (2010) 59-66.

2011

A. E. Brouwer & J. Draisma, Equivariant Gröbner bases and the Gaussian two-factor model, Mathematics of Computation 80 (2011) 1123-1133.

A. E. Brouwer, R. R. Del-Vecchio, D. P. Jacobs, V. Trevisan & C. T. M. Vinagre, Integral trees homeomorphic to a double star, Bulletin of the ICA 61 (2011) 77-80.

A. E. Brouwer & I. M. Wanless, Universally noncommutative loops, Bulletin of the ICA 61 (2011) 113-115.

A. E. Brouwer & T. Etzion, Some new distance-4 constant weight codes, Advances in Mathematics of Communications 5 (2011) 417-424.

A. E. Brouwer & M. Popoviciu, SL2-modules of small homological dimension, Transformation Groups 16 (2011) 599-617.

A. Blokhuis, A. E. Brouwer, T. Szőnyi & Z. Weiner, On q-analogues and stability theorems, J. Geometry 101 (2011) 31-50.

2012

A. E. Brouwer, A. M. Cohen, H. Cuypers, J. I. Hall & E. Postma, Lie algebras, 2-groups and cotriangular spaces, Advances in Geometry 12 (2012) 1-17. on-line.

A. E. Brouwer, O. Olmez & S. Y. Song, Directed strongly regular graphs from 1½-designs, Europ. J. Comb. 33 (2012) 1174-1177. on-line.

A. Blokhuis & A. E. Brouwer, Spectral characterization of a graph on the flags of the eleven point biplane, Designs, Codes & Cryptography 65 (2012) 65-69. on-line. Preprint (entitled Characterization of a graph by its spectrum), Apr 2011.

A. Blokhuis, A. E. Brouwer & W. H. Haemers, The graph with spectrum 141 240 (−4)10 (−6)9, Designs, Codes & Cryptography 65 (2012) 71-75. on-line. Preprint Mar 2011.

A. E. Brouwer & Ç. Güven, The generating rank of the space of short vectors in the Leech lattice mod 2, Designs, Codes & Cryptography 65 (2012) 107-113. on-line.

A. E. Brouwer, J. E. Ducey & P. Sin, The elementary divisors of the incidence matrix of skew lines in PG(3,q), Proc. Amer. Math. Soc. 140 (2012) 2561-2573. on-line

A. E. Brouwer & D. V. Pasechnik, Two distance-regular graphs, J. Algebr. Combin. 36 (2012) 403-407. on-line

Andries E. Brouwer & Mihaela Popoviciu, Sylvester versus Gundelfinger, SIGMA 8 (2012) 075, 7pp. on-line

A. Blokhuis, A. E. Brouwer & T. Szőnyi, On the chromatic number of q-Kneser graphs, Designs, Codes and Cryptography 65 (2012) 187-197. on-line. Preprint, Aug. 2010.

2013

A. E. Brouwer & L. Chastkofsky, (0,2)-graphs and root systems, Journal of Discrete Mathematics 2013, Article 140537, 4pp. on-line.

A. E. Brouwer, C. F. Mills, W. H. Mills & A. Verbeek, Counting families of mutually intersecting sets, Electronic J. Combinatorics 20(2) (2013) #P8. on-line.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form, Indagationes Math. 24 (2013) 766-773. on-line.

A. E. Brouwer & J. Huizinga, A family of 2-arc transitive pentagraphs with unbounded valency, Innov. Incidence Geom. 13 (2013) 141-147.

2014

A. Blokhuis, A. E. Brouwer & Ç. Güven, Cocliques in the Kneser graph on the point-hyperplane flags of a projective space, Combinatorica 34 (2014) 1-10.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, Maximal cocliques in the Kneser graph on point-plane flags in PG(4,q), Europ. J. Comb. 35 (2014) 95-104. Preprint, Feb 2012. on-line.

A. Blokhuis, A. E. Brouwer & A. Sali, Note on the size of binary Armstrong codes, Designs, Codes and Cryptography 71 (2014) 1-4. on-line, 2012.

A. E. Brouwer, R. Gow & J. Sheekey, Counting symmetric nilpotent matrices, Electronic J. Combinatorics 21 (2014) P2.4. on-line

Papers (submitted/to appear)

A. E. Brouwer, The composition factors of the Weyl modules with fundamental weights for the symplectic group, preprint, submitted (Nov. 1992).

Reports

Wisk. Sem. Vrije Universiteit

A. E. Brouwer, On a property of treelike spaces, Rapport no. 19, Wisk. Sem. Vrije Universiteit, Amsterdam (Nov. 1970).

A. E. Brouwer & H. Kok, On some properties of orderable connected spaces, Rapport no. 21, Wisk. Sem. Vrije Universiteit, Amsterdam (Jun. 1971).

A. E. Brouwer, On connected spaces in which each connected subset has at most one endpoint, Rapport no. 22, Wisk. Sem. Vrije Universiteit, Amsterdam (Feb. 1971).

A. E. Brouwer & J. van Dalen, The normality of the product of a finite number of locally compact ordered spaces, Rapport no. 23, Wisk. Sem. Vrije Universiteit, Amsterdam (May 1971).

Mathematisch Centrum

A. E. Brouwer, On the topological characterization of the real line, Math. Centr. report ZW8, Amsterdam (Sep. 1971). Zbl 224.54059. Scan

A. E. Brouwer, A characterization of connected (weakly) orderable spaces, Math. Centr. report ZW10, Amsterdam (Oct. 1971). Zbl 239.54021. Scan

A. E. Brouwer & A. Verbeek, Counting families of mutually intersecting sets, Math. Centr. report ZN41, Amsterdam (Mar. 1972). Scan

A. E. Brouwer, A note on the movability of chains, Math. Centr. report ZN44, Amsterdam (Jun. 1972). Scan

A. E. Brouwer, A note on magic graphs, Math. Centr. report ZN47, Amsterdam (Sep. 1972). Scan

A. E. Brouwer & H. W. Lenstra, jr., Multiplicative division algorithms on the integers, Math. Centr. report ZN54, Amsterdam (Jun. 1973). Scan

A. E. Brouwer, On the number of unique subgraphs of a graph, Math. Centr. report ZN56, Amsterdam (Dec. 1973). Scan

A. E. Brouwer, Two number theoretic sums, Math. Centr. report ZW19, Amsterdam (Jan. 1974). MR 49#10647; Zbl 274.10042. Scan

A. E. Brouwer & C. L. Pippel, The KV8/I storage scope, Math. Centr. report IW 14 (Feb. 1974). Scan

A. E. Brouwer & A. Schrijver, On the period of an operator defined on antichains, Math. Centr. report ZW24, Amsterdam (Jun. 1974). MR 50#1990; Zbl 282.06003. Scan

A. E. Brouwer, A compact treelike space is the continuous image of an ordered continuum, Math. Centr. report ZW33, Amsterdam (Nov. 1974). Zbl 296.54029. Scan

A. E. Brouwer & A. Schrijver, A characterization of supercompactness with an application to treelike spaces, Math. Centr. report ZW34, Amsterdam (Dec. 1974). Zbl 292.54020. Scan

A. E. Brouwer, On dual pairs of antichains, Math. Centr. report ZW40, Amsterdam (Mar. 1975). Zbl 308.05006. Scan

A. E. Brouwer, PDP program documentation series, A. E. Brouwer & P.J.W. ten Hagen, eds., Math. Centr. reports IW 43, ID 3 (Aug. 1975).

A. E. Brouwer & A. Schrijver, Two optimal constant weight codes, Math. Centr. report ZW63, Amsterdam (Dec. 1975). Zbl 321.05025. Scan

M. R. Best & A. E. Brouwer, The triply shortened binary Hamming code is optimal, Math. Centr. report ZW32, Amsterdam (Dec. 1975). Scan

A. E. Brouwer & A. Schrijver, Graphs with balanced star-hypergraph, Math. Centr. report ZW46, Amsterdam (Dec. 1975). Zbl 323.05134. Scan

A. E. Brouwer, A(17,6,4) = 20 or the nonexistence of the scarce design SD(4,1;17,21), Math. Centr. report ZW62, Amsterdam (Dec. 1975). Zbl 319.05015. Scan

W. G. Valiant, A(14,6,7) < 52 or the nonexistence of a certain constant weight code, Math. Centr. report ZW71, Amsterdam (Feb. 1976). Scan

A. E. Brouwer, A note on the covering of all triples on 7 points with Steiner triple systems, Math. Centr. report ZN63, Amsterdam (Feb. 1976). Scan

A. E. Brouwer & A. Schrijver, A group-divisible design GD(4,1,2;n) exists iff n ≡ 2 (mod 6), n ≠ 8 (or: the packing of cocktailparty graphs with K_4's), Math. Centr. report ZW64, Amsterdam (Mar. 1976). Zbl 324.05016. Scan

A. E. Brouwer, On associative block designs, Math. Centr. report ZW49, Amsterdam (June 1976). Scan

A. E. Brouwer, Optimal packings of K_4's into a K_n - the case n ≢ 2 (mod 3), Math. Centr. report ZW76, Amsterdam (June 1976). Zbl 328.05021. Scan

A. E. Brouwer & A. Schrijver, The blocking number of an affine space, Math. Centr. report ZN64, Amsterdam (June 1976). Scan. Published as J. Comb. Th. (A) 24 (1978) 251-253.

A. E. Brouwer & A. Schrijver, Cyclische codes, pp 60-76 in: Inleiding in de coderingstheorie, J. H. van Lint (ed.), MC Syllabus 31, Amsterdam, 1976. Scan

A. E. Brouwer, Goppa codes, pp 118-127 in: Inleiding in de coderingstheorie, J. H. van Lint (ed.), MC Syllabus 31, Amsterdam, 1976.

A. E. Brouwer, A generalization of Baranyai's theorem, Math. Centr. Report ZW81 (Aug. 1976). Zbl 341.05001. Scan

A. E. Brouwer, A connected metric space without nontrivial open connected subspaces, Math. Centr. report ZW83, Amsterdam (Aug. 1976). Zbl 332.54030. Scan

A. E. Brouwer, Optimal packings of K_4's into a K_n - the case n ≡ 5 (mod 6), Math. Centr. Report ZW82 (Sep. 1976). Scan

A. E. Brouwer & J. van de Lune, A note on certain oscillating sums, Math. Centr. report ZW90, Amsterdam (Dec. 1976). Zbl 359.10029. Scan

M. R. Best, A. E. Brouwer, F. J. MacWilliams, A. M. Odlyzko & N. J. A. Sloane, Bounds for binary codes of length less than 25, Math. Centr. report ZN66/76, Amsterdam. Scan

J. C. Bermond, A. E. Brouwer, A. Germa, Triple systems and associated differences, Math. Centr. report ZN67/76, Amsterdam. Scan

A. E. Brouwer, Two new nearly Kirkman triple systems, Math. Centr. report ZN72, Amsterdam (Apr. 1977). Scan

Zs. Baranyai & A. E. Brouwer, Extension of colourings of the edges of a complete (uniform hyper)graph, Math. Centr. Report ZW91 (Feb. 1977). Zbl 362.05059. Scan

A. E. Brouwer, Optimal packings of K_4's into a K_n, Math. Centr. report ZW92, Amsterdam (Mar. 1977). Scan

A. E. Brouwer, On the edge-colouring property for the hereditary closure of a complete uniform hypergraph, Math. Centr. report ZW95, Amsterdam (Apr. 1977). MR 56#2871; Zbl 357.05047. Scan

A. E. Brouwer, A new 5-design, Math. Centr. report ZW97, Amsterdam (May 1977). MR 56#5314; Zbl 357.05016. Scan

A. E. Brouwer, The t-designs with v < 18, Math. Centr. report ZN76, Amsterdam (Aug. 1977). Scan

A. E. Brouwer, Some non-isomorphic BIBDs B(4,1;v), Math. Centr. report ZW102, Amsterdam (Oct. 1977). Zbl 366.05011. Scan

A. E. Brouwer, On the packing of quadruples without common triples, Math. Centr. report ZW103, Amsterdam (Oct. 1977). Scan

A. E. Brouwer, The worst covering of points by permutations, Math. Centr. report ZN77, Amsterdam (Nov. 1977). Scan

A. E. Brouwer, The uniqueness of the truncated affine plane of order five, Math. Centr. report ZN78, Amsterdam (Nov. 1977). Scan

A. E. Brouwer, Steiner triple systems without forbidden subconfigurations, Math. Centr. report ZW104, Amsterdam (Nov. 1977). Zbl 367.05011. Scan
[Lefmann et al., J. Combin. Des. 1 (1993) 379-394, point out that the lemma on p. 7 is false.]

A. E. Brouwer, Embedding the affine plane of order 4 in a linear space with lines of size 4 and 85 points, Math. Centr. report ZN80, Amsterdam (Jan. 1978). Scan

A. E. Brouwer, A. J. de Vries & R. M. A. Wieringa, A lower bound for the length of partial transversals in a Latin square, Math. Centr. report ZW109, Amsterdam (Feb. 1978). Scan

A. E. Brouwer, Mutually orthogonal Latin squares, Math. Centr. report ZN81, Amsterdam (Aug. 1978). Scan

A. E. Brouwer, On the nonexistence of certain planar spaces, Math. Centr. report ZW114, Amsterdam (Aug. 1978). Zbl 408.05012. Scan

H. A. Wilbrink & A. E. Brouwer, A (57,14,1) strongly regular graph does not exist, Math. Centr. report ZW121, Amsterdam (Dec. 1978). Scan

A. E. Brouwer & R. Tijdeman, On the edge-colouring problem for unions of complete uniform hypergraphs, Math. Centr. report ZW122, Amsterdam (May 1979). Scan. Published as Discr. Math. 34 (1981) 241-260.

A. E. Brouwer, The number of mutually orthogonal Latin squares - a table up to order 10000, Math. Centr. report ZW123, Amsterdam (June 1979). MR 80f:05013; Zbl 405.05013. Scan

A. E. Brouwer, A few new constant weight codes Math. Centr. report ZN91, Amsterdam (June 1979). Scan

A. E. Brouwer, A series of separable designs with application to pairwise orthogonal Latin squares, Math. Centr. report ZW77, Amsterdam (Aug. 1979). Scan

A. E. Brouwer, The linear spaces on 15 points, Math. Centr. report ZW38, Amsterdam (Sep. 1979). Scan. Published as Ars Combinatoria 12 (1981) 3-35.

A. E. Brouwer & A. M. Cohen, The Poincaré series of the polynomials invariant under SU2 in its irreducible representation of degree ≤17, Math. Centr. report ZW134, Amsterdam (Dec. 1979). Zbl 417.22008. Scan

A. E. Brouwer, On the existence of 30 mutually orthogonal Latin squares, Math. Centr. report ZW136, Amsterdam (Jan. 1980). MR 81d:05013; Zbl 422.05017. Scan

A. E. Brouwer, On the size of a maximum transversal in a Steiner triple system Math. Centr. report ZW137, Amsterdam (Mar. 1980). Scan

A. E. Brouwer, The enumeration of locally transitive tournaments, Math. Centr. report ZW138, Amsterdam (Apr. 1980). MR 81j:05068; Zbl 436.05029. Scan

A. E. Brouwer & R. M. Wilson, The decomposition of graphs into ladder graphs, Math. Centr. report ZN97, Amsterdam (Sep. 1980). Scan

A. E. Brouwer & P. J. Hoogendoorn, A note on ΓΔ-regular graphs, Math. Centr. report ZN98, Amsterdam (Nov. 1980). Scan

A. E. Brouwer & A. W. J. Kolen, A super-balanced hypergraph has a nest point, Math. Centr. report ZW146, Amsterdam (Nov. 1980). MR 81k:05077; Zbl 438.05051. Scan

A. E. Brouwer, The uniqueness of the strongly regular graph on 77 points, Math. Centr. report ZW147, Amsterdam (Nov. 1980). Scan. Published as J. Graph Th. 7 (1983) 455-461.

A. E. Brouwer & G. H. J. van Rees, More mutually orthogonal Latin squares, Math. Centr. report ZW148, Amsterdam (Dec. 1980). Scan. Published as Discr. Math. 39 (1982) 263-281.

A. E. Brouwer, An inequality in binary vector spaces, Math. Centr. report ZW150, Amsterdam (Feb. 1981). Scan

A. E. Brouwer & A. Neumaier, Strongly regular graphs where mu equals two and lambda is large, Math. Centr. report ZW151, Amsterdam (Mar. 1981). Scan

A. E. Brouwer, Some lotto numbers from an extension of Turán's theorem, Math. Centr. report ZW152, Amsterdam (Mar. 1981). MR 82c:05057; Zbl 443.05032. Scan

A. E. Brouwer, The uniqueness of the near hexagon on 759 points, Math. Centre report ZW154, Amsterdam (Mar. 1981). Scan

A. E. Brouwer, Some unitals on 28 points and their embeddings in projective planes of order 9, Math. Centre report ZW155, Amsterdam (Mar. 1981). MR 82j:05024; Zbl 448.51010. Scan

A. E. Brouwer, Polarities of G. Higman's symmetric design and a strongly regular graph on 176 vertices, Math. Centre report ZW158, Amsterdam (Mar. 1981). Scan. Published as Aequationes Math. 25 (1982) 77-82.

A. E. Brouwer, The uniqueness of the near hexagon on 729 points, Math. Centr. report ZW162, Amsterdam (July 1981). Scan. Published as Combinatorica 2 (1982) 333-340.

A. E. Brouwer, The nonexistence of a regular near hexagon on 1408 points, Math. Centr. report ZW163, Amsterdam (Jul. 1981). Zbl 466.05022. Scan

A. E. Brouwer, Regular near polygons do contain hexes, Math. Centr. report ZW164, Amsterdam (Sep. 1981). Zbl 466.05023. Scan

A. E. Brouwer & H. A. Wilbrink, Ovoids and fans in the generalized quadrangle GQ(4,2), Math. Centr. report ZN 102, Amsterdam (Oct. 1981). Scan

A. E. Brouwer & H. A. Wilbrink, On regular near polygons, Math. Centr. report ZW173, Amsterdam (Apr. 1982). Zbl 483.05020. Scan

H. A. Wilbrink & A. E. Brouwer, A characterization of two classes of semi partial geometries by their parameters, Math. Centr. report ZW175, Amsterdam (Aug. 1982). Scan

A. E. Brouwer & H. A. Wilbrink, The structure of near polygons with quads, Math. Centr. report ZW177, Amsterdam (Nov. 1982). Scan

A. E. Brouwer, De Data Encryption Standard, pp 139-169 in: Cryptografie, P. J. Hoogendoorn (ed.), MC Syllabus 51, 1983.

A. E. Brouwer, Meer over het knapzaksysteem, pp 131-138 in: Cryptografie, P. J. Hoogendoorn (ed.), MC Syllabus 51, 1983.

A. E. Brouwer, A. M. Cohen & H. A. Wilbrink, Near polygons with lines of size three and Fischer spaces, Math. Centr. report ZW191, Amsterdam (May 1983). Scan

A. E. Brouwer & H. A. Wilbrink, Two infinite sequences of near polygons, Math. Centr. Report ZW194, Amsterdam (June 1983). Scan

A. E. Brouwer, On the uniqueness of a regular thin near octagon on 288 vertices (or the semibiplane belonging to the Mathieu group M_12), Math. Centr. report ZW196, Amsterdam (July 1983). Scan.

A. E. Brouwer & A. M. Cohen, Local recognition of Tits geometries of classical type, Math. Centr. Report ZW197, Amsterdam (Aug. 1983). Scan

A. E. Brouwer & A. M. Cohen, Computation of some parameters of Lie geometries, Math. Centr. Report ZW198, Amsterdam (Sep. 1983). Scan

A. E. Brouwer, A note on the uniqueness of the Johnson scheme, Math. Centr. report ZN105, Amsterdam (Sep. 1983). Scan

A. E. Brouwer, An infinite series of symmetric designs, Math. Centr. report ZW202, Amsterdam (Dec. 1983) MR 85h:05016; Zbl 534.05011. Scan

A. Blokhuis & A. E. Brouwer, Locally 4-by-4 grid graphs, Math. Centr. report PM-R8401, Amsterdam (Jan. 1984). Scan

A. E. Brouwer, Recursive constructions of mutually orthogonal Latin squares, Math. Centr. report PM-N8501, Amsterdam (June 1985). Scan

A. E. Brouwer, Uniqueness and nonexistence of some graphs related to M_22, Math. Centr. report PM-R8503, Amsterdam (June 1985). Scan

TUD, Delft

R. J. Blok & A. E. Brouwer, Spanning point-line geometries in buildings of spherical type, Faculteit der Technische Wiskunde en Informatica, TU Delft, Report 95-124, 1995. 9pp.

KUB, Tilburg

A. E. Brouwer & W. H. Haemers, Eigenvalues and perfect matchings, Lin. Alg. Appl. 395 (2005) 155-162. preprint No. 2004-58, Tilburg University, 2004. ISSN 0924-7815.

Aart Blokhuis, Andries E. Brouwer & Willem H. Haemers, On 3-chromatic distance-regular graphs, Designs, Codes and Cryptography 44 (2007) 293-305. preprint No. 2006–120, Tilburg University, 2006. ISSN 0924-7815.

A. E. Brouwer & W. H. Haemers, The integral trees with spectral radius 3, preprint No. 2007-84, Tilburg University, 2007. ISSN 0924-7815.

A. E. Brouwer & W. H. Haemers, Hamiltonian strongly regular graphs, Mar. 2008. preprint No. 2008-28, Tilburg University, 2008.

UT, Twente

A. E. Brouwer, G. F. Post & G. J. Woeginger, Tight bounds for break minimization, Memorandum 1836 Univ. Twente, May 2007, PDF.

Technion, Haifa

A. E. Brouwer, H. Hanani & A. Schrijver, Group-divisible designs with block-size four, Technion Preprint Series No. MT-298. Published as Discrete Math. 20 (1977) 1-10. Scan

Freie Universität Berlin

Andries Brouwer & Hanfried Lenz, Subspaces of linear spaces of line size four, Part II of Preprint Nr. 97, Fachbereich Mathematik, September 1979. Published as Europ. J. Combin. 2 (1981) 323-330.

Instit. f. Elektroniske Systemer, Aalborg

A. E. Brouwer, The classification of near hexagons with lines of size three, Report R85-16, Instit. f. Elektroniske Systemer, Aalborg, DK (Sept. 1985).

IPM, Tehran

A. E. Brouwer & W. H. Haemers, Topics in algebraic graph theory (Lecture Notes for a course held in Tehran, Spring 2006), pp 1-66 in: Lectures on Combinatorics I, IPM Lecture Notes Series 8, Tehran, 2008. ipm.tex.gz.

Miscellaneous

A. E. Brouwer, Het ontvouwen van een block design met λ > 1, in: Een pak met een korte broek, Papers presented to H. W. Lenstra, jr. on the occasion of the publication of his "Euclidische Getallenlichamen", edited by P. van Emde Boas, J. K. Lenstra, F. Oort, A. H. G. Rinnooy Kan, T. J. Wansbeek, Amsterdam, May 18, 1977.

A. E. Brouwer, On the existence of 30 mutually orthogonal Latin squares, II, Unpublished notes, København (March 1980).

A. E. Brouwer, Chain calculus in the geometries of types $A_n$, $D_n$, $E_6$, $E_7$, $E_8$, manuscript (1985)

A. E. Brouwer, The graph on the spinors belonging to $D_n$, manuscript (1988)

A. E. Brouwer, A Kirkman triple system of order 81 with a subsystem of order 15, constructed in the review MR 88f:05024.

A. E. Brouwer, The metric theory of graphs, manuscript (1989)

A. E. Brouwer, A construction of the HJ graph, manuscript (1989)

A. E. Brouwer & J. H. Koolen, Hypermetric distance-regular graphs, preprint (1990)

A. E. Brouwer, The Soicher graph - an antipodal 3-cover of the second subconstituent of the McLaughlin graph, manuscript (1990)

A. E. Brouwer, Some Buekenhout-Tits geometries, manuscript (1990)

A. E. Brouwer & R. Lokers, Some bounds on pair coverings, manuscript (1990)

A. E. Brouwer & C. D. Godsil, Nice subsets of distance-regular graphs, preprint (1991)

A. E. Brouwer, t-Designs and antidesigns in classical distance-regular graphs, manuscript (1991)

A. E. Brouwer, Geometries induced by the far objects, preprint (1991)

A. E. Brouwer, The maximal cliques in the classical distance-regular graphs, manuscript (1991)

A. E. Brouwer, The uniqueness of the binary [27,7,12] code, preprint (April 1992)

A. E. Brouwer & J. Huizinga, Construction of 2-arc transitive pentagraphs and heptagraphs with unbounded valency, preprint (April 1992)

A. E. Brouwer & S. V. Shpectorov, Dimensions of embeddings of near polygons, preprint (Nov. 1992)

A. E. Brouwer, Een paar gelijkmatig verdeelde codes, pp. 9-14 in: Klabotscript, Liber Amicorum voor Henk van Tilborg, samengesteld door Bram van Asch, Anita Klooster, Berry Schoenmakers en Benne de Weger, 7 october 2011. PDF


Publications sorted by coauthor

R. J. R. Abel

R. J. R. Abel, A. E. Brouwer, C. J. Colbourn & J. H. Dinitz, Mutually Orthogonal Latin Squares, pp 111-142 in: The CRC Handbook of Combinatorial Designs, C. J. Colbourn, J. H. Dinitz, eds., CRC Press, 1996.

Bh. Bagchi

B. Bagchi, A. E. Brouwer & H. A. Wilbrink, Notes on binary codes related to the O(5,q) generalized quadrangle for odd q, Geom. Dedicata 39 (1991) 339-355. Zbl 734.94019

C. A. Baker

C. A. Baker, Aart Blokhuis, Andries E. Brouwer & Henny A. Wilbrink, Characterization theorems for failed projective and affine planes, pp. 42-53 in: Coding Theory and Design Theory, Part II: Design Theory, Dijen Ray-Chaudhuri, ed., Springer, New York, 1990. Zbl 707.51006

S. Ball

A. Blokhuis, S. Ball, A. E. Brouwer, L. Storme & T. Szőnyi, On the number of slopes of the graph of a function defined on a finite field, JCT (A) 86 (1999) 187-196.

Zs. Baranyai (1948-1978)

Zs. Baranyai & A. E. Brouwer, Extension of colourings of the edges of a complete (uniform hyper)graph, Math. Centr. Report ZW91 (Feb. 1977). Zbl 362.05059

J.-C. Bermond

J.-C. Bermond, A. E. Brouwer & A. Germa, Systèmes de triplets et différences associées, pp. 35-38 in: Problèmes Combinatoires et Théorie des Graphes, Proc. Orsay 1976, Colloq. Intern. du C.N.R.S. No. 260, J.-C. Bermond, J.-C. Fournier, M. Las Vergnas & D. Sotteau (eds.) Gauthier-Villars, Paris, 1978. MR 80j:05020; Zbl 412.05012

M. R. Best (1947-1987)

M. R. Best & A. E. Brouwer, The triply shortened binary Hamming code is optimal, Discrete Math. 17 (1977) 235-245. MR 55#14400; Zbl 356.94009

M. R. Best, A. E. Brouwer, F. J. MacWilliams, A. M. Odlyzko & N. J. A. Sloane, Bounds for binary codes of length less than 25, IEEE Trans. Inform. Th. IT-24 (1978) 81-93. MR 57#19066; Zbl 369.94011 (Abstract Some new bounds on the size of codes in: Proc. 7th southeast. Conf. Comb., Graph Theory, Comput.; Baton Rouge 1976, 499-500 (1976). Zbl 338.94003) (Russian transl. in: Kibern. Sb. Nov. Ser. 17 (1980) 28-59. Zbl 456.94015)

G. T. Bogdanova

G. T. Bogdanova, A. E. Brouwer, S. N. Kapralov & P. R. J. Östergård, Error-Correcting Codes over an Alphabet of Four Elements, Designs, Codes and Cryptography 23 (2001) 333-342. preprint, Feb. 2000.
Abstract in: Proc. 2000 IEEE International Symposium on Information Theory (ISIT 2000), Sorrento, Italy, 25-30 June 2000, p. 142.

J. T. M. van Bon

J. T. M. van Bon & A. E. Brouwer, The distance-regular antipodal covers of classical distance-regular graphs, pp 141-166 in: Colloq. Math. Soc. János Bolyai, Proc. Eger 1987, 1988.

R. J. Blok

R. J. Blok & A. E. Brouwer, The geometry far from a residue pp. 29-38 in: Groups and Geometries, L. di Martino, W. M. Kantor, G. Lunardon, A. Pasini, M. C. Tamburini (eds.), Birkhaüser Verlag, Basel, 1998. preprint (Dec. 1996).

R. J. Blok & A. E. Brouwer, Spanning point-line geometries in buildings of spherical type, J. Geometry 62 (1998) 26-35.

A. Blokhuis

A. Blokhuis & A. E. Brouwer, Uniqueness of a Zara graph on 126 points and non-existence of a completely regular two-graph on 288 points, pp 6-19 in: Papers dedicated to J. J. Seidel, P. J. de Doelder, J. de Graaf & J. H. van Lint (eds.) Eindhoven Univ. Techn. report 84-WSK-03, Aug 1984. Zbl 554.05049

A. Blokhuis, A. E. Brouwer, D. Buset & A. M. Cohen, The locally icosahedral graphs, pp 19-22 in: Finite geometries, Proc. Winnipeg 1984, C. A. Baker & L. M. Batten (eds.) Lecture Notes in Pure and Applied Math. 103, Marcel Dekker, New York, 1985. MR 87k:05133; Zbl 587.05059

A. Blokhuis & A. E. Brouwer, Blocking sets in desarguesian projective planes, Bull. London Math. Soc. 18 (1986) 132-134. MR 87c:51013; Zbl (563.05016) 577.05019

A. Blokhuis, A. E. Brouwer, A. Delandtsheer & J. Doyen, Orbits on points and lines in finite linear and quasilinear spaces, J. Combin. Th. (A) 44 (1987) 159-163. Zbl 606.51009

A. Blokhuis & A. E. Brouwer, Geodetic graphs of diameter two, Geom. Dedicata 25 (1988) 527-533. Zbl 667.05037

A. Blokhuis, A. E. Brouwer & H. A. Wilbrink, Heden's bound on maximal partial spreads, Discrete Math. 74 (1989) 335-339. Zbl 664.51007

A. Blokhuis & A. E. Brouwer, Locally 4-by-4 grid graphs, J. Graph Th. 13 (1989) 229-244. Zbl 705.05057 and Zbl 722.05054

C. A. Baker, Aart Blokhuis, Andries E. Brouwer & Henny A. Wilbrink, Characterization theorems for failed projective and affine planes, pp. 42-53 in: Coding Theory and Design Theory, Part II: Design Theory, Dijen Ray-Chaudhuri, ed., Springer, New York, 1990. Zbl 707.51006

Aart Blokhuis, Andries E. Brouwer & Henny A. Wilbrink, Hermitian unitals are code words, Discrete Math. 97 (1991) 63-68.

A. Blokhuis & A. E. Brouwer, Locally $K_{3,3}$ or Petersen graphs, Discrete Math. 106/107 (1992) 53-60.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, The number of directions determined by a function f on a finite field, J. Combin. Th. (A) 70 (1995) 349-353.

A. Blokhuis & A. E. Brouwer, Determination of the distance-regular graphs without 3-claws, Discrete Math. 163 (1997) 225-227. preprint.

A. Blokhuis, S. Ball, A. E. Brouwer, L. Storme & T. Szőnyi, On the number of slopes of the graph of a function defined on a finite field, JCT (A) 86 (1999) 187-196.

A. Blokhuis, A. E. Brouwer & R. Riebeek, The spectrum of the van Leijenhorst matrix, 3 May 1996. preprint.

A. Blokhuis & A. E. Brouwer, The universal embedding dimension of the near polygon on the 1-factors of a complete graph, Designs, Codes and Cryptography 17 (1999) 299-303. preprint.

A. Blokhuis & A. E. Brouwer, The universal embedding dimension of the binary symplectic dual polar space, Discrete Math. 264 (2003) 3-11.

A. Blokhuis, A. E. Brouwer & H. A. Wilbrink, Blocking sets in PG(2,p) for small p, and partial spreads in PG(3,7), Advances in Geometry, special issue (2003) S245-S253. preprint (Apr 2001).

A. Blokhuis & A. E. Brouwer, Small additive quaternary codes. Europ. J. Combin. 25 (2004) 161-167. preprint.

Aart Blokhuis, Andries E. Brouwer & Willem H. Haemers, On 3-chromatic distance-regular graphs, Designs, Codes and Cryptography 44 (2007) 293-305. preprint.

A. Blokhuis, A. E. Brouwer, A. Chowdhury, P. Frankl, T. Mussche, B. Patkós & T. Szőnyi, A Hilton-Milner theorem for vector spaces, Electr. J. of Combinatorics 17 (2010) R71.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, Covering all points except one, J. Algebr. Combin. 32 (2010) 59-66.

A. Blokhuis, A. E. Brouwer, T. Szőnyi & Z. Weiner, On q-analogues and stability theorems, J. Geometry 101 (2011) 31-50.

A. Blokhuis & A. E. Brouwer, Spectral characterization of a graph on the flags of the eleven point biplane, Designs, Codes & Cryptography 65 (2012) 65-69. on-line.

A. Blokhuis, A. E. Brouwer & W. H. Haemers, The graph with spectrum 141 240 (−4)10 (−6)9, Designs, Codes & Cryptography 65 (2012) 71-75. on-line.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, On the chromatic number of q-Kneser graphs, Designs, Codes and Cryptography 65 (2012) 187-197. on-line.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form, Indagationes Mathematicae 24 (2013) 766-773. on-line.

A. Blokhuis, A. E. Brouwer & Ç. Güven, Cocliques in the Kneser graph on the point-hyperplane flags of a projective space, Combinatorica 34 (2014) 1-10.

A. Blokhuis, A. E. Brouwer & A. Sali, Note on the size of binary Armstrong codes, Designs, Codes and Cryptography 71 (2014) 1-4. on-line, 2012.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, Maximal cocliques in the Kneser graph on point-plane flags in PG(4,q), Europ. J. Comb. 35 (2014) 95-104. on-line.

A. A. Bruen

A. E. Brouwer, A. A. Bruen & D. L. Wehlau, There exist caps which block all spaces of fixed codimension in $PG(n,2)$, J. Comb. Th. (A) 73 (1996) 168-169.

D. Buset

A. Blokhuis, A. E. Brouwer, D. Buset & A. M. Cohen, The locally icosahedral graphs, pp 19-22 in: Finite geometries, Proc. Winnipeg 1984, C. A. Baker & L. M. Batten (eds.) Lecture Notes in Pure and Applied Math. 103, Marcel Dekker, New York, 1985. MR 87k:05133; Zbl 587.05059

A. R. Calderbank

A. E. Brouwer & A. R. Calderbank, An Erdös-Ko-Rado theorem for regular intersecting families of octads, Graphs Combin. 2 (1986) 309-316. Zbl 616.05010

P. J. Cameron

A. E. Brouwer, P. J. Cameron, W. H. Haemers & D. A. Preece, Self-dual, not self-polar, Discr. Math. 306 (2006) 3051-3053. preprint (2003).

L. Chastkofsky

A. E. Brouwer & L. Chastkofsky, (0,2)-graphs and root systems, Journal of Discrete Mathematics 2013, Article 140537, 4pp.

A. Chowdhury

A. Blokhuis, A. E. Brouwer, A. Chowdhury, P. Frankl, T. Mussche, B. Patkós & T. Szőnyi, A Hilton-Milner theorem for vector spaces, Electr. J. of Combinatorics 17 (2010) R71.

A. M. Cohen

A. E. Brouwer & A. M. Cohen, The Poincaré series of the polynomials invariant under SU2 in its irreducible representation of degree ≤17, Math. Centr. report ZW134, Amsterdam (Dec. 1979). Zbl 417.22008

A. E. Brouwer & A. M. Cohen, Some remarks on Tits geometries, Indag. Math. 45 (1983) 393-402. (With an appendix by J. Tits.) MR 85c:51023; Zbl 541.51011

A. E. Brouwer, A. M. Cohen & H. A. Wilbrink, Near polygons with lines of size three and Fischer spaces, Math. Centr. report ZW191, Amsterdam (May 1983).

A. Blokhuis, A. E. Brouwer, D. Buset & A. M. Cohen, The locally icosahedral graphs, pp 19-22 in: Finite geometries, Proc. Winnipeg 1984, C. A. Baker & L. M. Batten (eds.) Lecture Notes in Pure and Applied Math. 103, Marcel Dekker, New York, 1985. MR 87k:05133; Zbl 587.05059

A. E. Brouwer & A. M. Cohen, Computation of some parameters of Lie geometries, pp 1-48 in: Algorithms in Combinatorial Design Theory, C. J. & M. J. Colbourn (eds.), Ann. Discrete Math. 26, North Holland, Amsterdam, 1985. MR 87h:51015; Zbl 575.51008

A. E. Brouwer & A. M. Cohen, Local recognition of Tits geometries of classical type, Geom. Dedicata 20 (1986) 181-199. MR 87m:51006; Zbl 585.51010 PDF

A. E. Brouwer, A. M. Cohen & A. Neumaier, Distance-regular graphs, Ergebnisse der Mathematik 3.18, Springer, Heidelberg, 1989.

A. E. Brouwer, A. M. Cohen, J. I. Hall & H. A. Wilbrink, Near polygons and Fischer spaces, Geometriae Dedicata 49 (1994) 349-368.

A. E. Brouwer, A. M. Cohen, M. V. M. Nguyen, Fractional factorial designs of strength 3 and small run sizes, J. Statist. Planning and Inference 136 (2006) 3268-3280. preprint.

A. E. Brouwer, A. M. Cohen, H. Cuypers, J. I. Hall & E. Postma, Lie algebras, 2-groups and cotriangular spaces, Aug. 2008. PDF. Advances in Geometry 12 (2012) 1-17. on-line. on-line.

C. J. Colbourn

R. J. R. Abel, A. E. Brouwer, C. J. Colbourn & J. H. Dinitz, Mutually Orthogonal Latin Squares, pp 111-142 in: The CRC Handbook of Combinatorial Designs, C. J. Colbourn, J. H. Dinitz, eds., CRC Press, 1996.

H. Cuypers

A. E. Brouwer, H. Cuypers & E. W. Lambeck, The hyperplanes of the $M_{24}$ near polygon, Graphs Combin. 18 (2002) 415-420. preprint (Aug 2000).

A. E. Brouwer, A. M. Cohen, H. Cuypers, J. I. Hall & E. Postma, Lie algebras, 2-groups and cotriangular spaces, Aug. 2008. PDF. Advances in Geometry 12 (2012) 1-17. on-line. on-line.

J. van Dalen

A. E. Brouwer & J. van Dalen, The normality of the product of a finite number of locally compact ordered spaces, Rapport no. 23, Wisk. Sem. Vrije Universiteit, Amsterdam (May 1971).

I. J. Dejter

A. E. Brouwer, I. J. Dejter & C. Thomassen, Highly symmetric subgraphs of hypercubes, J. Alg. Comb. 2 (1993) 25-29.

A. Delandtsheer

A. Blokhuis, A. E. Brouwer, A. Delandtsheer & J. Doyen, Orbits on points and lines in finite linear and quasilinear spaces, J. Combin. Th. (A) 44 (1987) 159-163. Zbl 606.51009

Ph. Delsarte

A. E. Brouwer, P. Delsarte & P. Piret, On the (23,14,5) Wagner code, IEEE Trans. Inform. Th. 26 (1980) 742-743. MR 82b:94021; Zbl 466.94021

R. R. DelVecchio

A. E. Brouwer, R. R. Del-Vecchio, D. P. Jacobs, V. Trevisan & C. T. M. Vinagre, Integral trees homeomorphic to a double star, Bulletin of the ICA 61 (2011) 77-80.

J. H. Dinitz

R. J. R. Abel, A. E. Brouwer, C. J. Colbourn & J. H. Dinitz, Mutually Orthogonal Latin Squares, pp 111-142 in: The CRC Handbook of Combinatorial Designs, C. J. Colbourn, J. H. Dinitz, eds., CRC Press, 1996.

J. Doyen

A. Blokhuis, A. E. Brouwer, A. Delandtsheer & J. Doyen, Orbits on points and lines in finite linear and quasilinear spaces, J. Combin. Th. (A) 44 (1987) 159-163. Zbl 606.51009

J. Draisma

A. E. Brouwer & J. Draisma, Equivariant Gröbner bases and the Gaussian two-factor model, Mathematics of Computation 80 (2011) 1123-1133.

J. E. Ducey

A. E. Brouwer, J. E. Ducey & P. Sin, The elementary divisors of the incidence matrix of skew lines in PG(3,q), Proc. Amer. Math. Soc. 140 (2012) 2561-2573. on-line

P. Duchet

A. E. Brouwer, P. Duchet & A. Schrijver, Graphs whose neighbourhoods have no special cycles, Discrete Math. 47 (1983) 177-182. PDF MR 85h:05077; Zbl 546.05047

C. A. van Eijl

A. E. Brouwer & C. A. van Eijl, On the p-rank of the adjacency matrices of strongly regular graphs, J. Alg. Comb. 1 (1992) 329-346.

P. van Emde Boas

A. E. Brouwer & P. van Emde Boas, A note on `Master keys for group sharing', Inform. Proc. Letters 14 (1982) 12-14. MR 83h:94019; Zbl 495.94006

T. Etzion

A. E. Brouwer & T. Etzion, Some new distance-4 constant weight codes, Advances in Mathematics of Communications 5 (2011) 417-424.

M. van Eupen

A. E. Brouwer & M. van Eupen, The correspondence between projective codes and 2-weight codes Designs, Codes and Cryptography, 11 (1997) 261-266.

D. G. Fon-der-Flaass (1962-2010)

A. E. Brouwer, D. G. Fon-der-Flaass & S. V. Shpectorov, Locally co-Heawood graphs, pp 59-68 in: Finite geometry and combinatorics - Proc. Deinze 1992, F. De Clerck et al. (eds.), London Math. Soc. Lect. Note Ser. 191, Cambridge Univ. Press, 1993.

P. Frankl

A. Blokhuis, A. E. Brouwer, A. Chowdhury, P. Frankl, T. Mussche, B. Patkós & T. Szőnyi, A Hilton-Milner theorem for vector spaces, Electr. J. of Combinatorics 17 (2010) R71.

A. Germa

J.-C. Bermond, A. E. Brouwer & A. Germa, Systèmes de triplets et différences associées, pp. 35-38 in: Problèmes Combinatoires et Théorie des Graphes, Proc. Orsay 1976, Colloq. Intern. du C.N.R.S. No. 260, J.-C. Bermond, J.-C. Fournier, M. Las Vergnas & D. Sotteau (eds.) Gauthier-Villars, Paris, 1978. MR 80j:05020; Zbl 412.05012

C. D. Godsil

A. E. Brouwer, C. D. Godsil, J. H. Koolen & W. J. Martin, Width and dual width of subsets in polynomial association schemes, J. Combin. Th. (A) 102 (2003) 255-271.

R. Gow

A. E. Brouwer, R. Gow & J. Sheekey, Counting symmetric nilpotent matrices, Electronic J. Combinatorics 21 (2014) P2.4.

Ç. Güven

A. E. Brouwer & Ç. Güven, The generating rank of the space of short vectors in the Leech lattice mod 2, Designs, Codes & Cryptography 65 (2012) 107-113. on-line.

A. Blokhuis, A. E. Brouwer & Ç. Güven, Cocliques in the Kneser graph on the point-hyperplane flags of a projective space, Combinatorica 34 (2014) 1-10. on-line.

W. H. Haemers

A. E. Brouwer & W. H. Haemers, Structure and uniqueness of the (81,20,1,6) strongly regular graph, Discrete Math. 106/107 (1992) 77-82.

A. E. Brouwer, W. H. Haemers & H. A. Wilbrink, Some 2-ranks, Discrete Math. 106/107 (1992) 83-92.

A. E. Brouwer & W. H. Haemers, The Gewirtz graph - an exercise in the theory of graph spectra, Europ. J. Comb. 14 (1993) 397-407.

A. E. Brouwer & W. H. Haemers, Association schemes, pp 747-771 in: Handbook of Combinatorics, R. Graham, M. Groetschel, L. Lovász, eds., Elsevier, 1995.

A. E. Brouwer, W. H. Haemers & V. D. Tonchev, Embedding Partial Geometries in Steiner Designs, pp. 33-41 in: Geometry, Combinatorial Designs and Related Structures, Proceedings of the First Pythagorean Conference, J. W. P. Hirschfeld, S. S. Magliveras, M. J. de Resmini (eds.), Cambridge University Press, 1997. preprint.

A. E. Brouwer & W. H. Haemers, Eigenvalues and perfect matchings, Lin. Alg. Appl. 395 (2005) 155-162. preprint.

A. E. Brouwer & W. H. Haemers, Topics in algebraic graph theory, Lecture Notes for a course held in Teheran, Spring 2006. ipm.tex.gz.

A. E. Brouwer, P. J. Cameron, W. H. Haemers & D. A. Preece, Self-dual, not self-polar, Discr. Math. 306 (2006) 3051-3053. preprint (2003).

Aart Blokhuis, Andries E. Brouwer & Willem H. Haemers, On 3-chromatic distance-regular graphs, Designs, Codes and Cryptography 44 (2007) 293-305. preprint.

A. E. Brouwer & W. H. Haemers, A lower bound for the Laplacian eigenvalues of a graph: Proof of a conjecture by Guo, Lin. Alg. Appl. 429 (2008) 2131-2135.

A. E. Brouwer & W. H. Haemers, The integral trees with spectral radius 3, Lin. Alg. Appl. 429 (2008) 2710-2718.

A. E. Brouwer & W. H. Haemers, Spectra of graphs, Springer, New York, etc., 2012. ISBN 978-1-4614-1938-9.

A. Blokhuis, A. E. Brouwer & W. H. Haemers, The graph with spectrum 141 240 (−4)10 (−6)9, Designs, Codes & Cryptography 65 (2012) 71-75. on-line.

J. I. Hall

A. E. Brouwer, A. M. Cohen, J. I. Hall & H. A. Wilbrink, Near polygons and Fischer spaces, Geometriae Dedicata 49 (1994) 349-368.

A. E. Brouwer, A. M. Cohen, H. Cuypers, J. I. Hall & E. Postma, Lie algebras, 2-groups and cotriangular spaces, Aug. 2008. PDF. Advances in Geometry 12 (2012) 1-17. on-line. on-line.

H. O. Hämäläinen

A. E. Brouwer, H. O. Hämäläinen, P. R. J. Östergård & N. J. A. Sloane, Bounds on Mixed Binary/Ternary Codes, IEEE Trans. Inf. Th. 44 (1998) 140-161. preprint (Jan. 1997).

H. Hanani (1912-1991)

A. E. Brouwer, H. Hanani & A. Schrijver, Group-divisible designs with block-size four, Discrete Math. 20 (1977) 1-10. MR 57#5780; Zbl 371.62105
Republished as Discrete Math. 306 (2006) 939-947.

J. Hemmeter

A. E. Brouwer & Joe Hemmeter, A new family of distance-regular graphs and the {0,1,2}-cliques in dual polar graphs, Eur. J. Combin. 13 (1992) 71-79.

A. E. Brouwer, Joe Hemmeter & Andrew Woldar, The complete list of maximal cliques of Quad (n,q), q odd, Eur. J. Combin. 16 (1995) 107-110.

S. A. Hobart

A. E. Brouwer & S. A. Hobart, Directed strongly regular graphs, pp 868-874 in: The CRC Handbook of Combinatorial Designs, 2nd edition, C. J. Colbourn, J. H. Dinitz, eds., CRC Press, 2006. ISBN 1-58488-506-8

P. J. Hoogendoorn

A. E. Brouwer & P. J. Hoogendoorn, A note on $\Gamma\Delta$-regular graphs, Math. Centr. report ZN98, Amsterdam (Nov. 1980).

G. Horváth

A. E. Brouwer, G. Horváth, I. Molnár-Sáska & C. Szabó, On three-rowed Chomp, Electronic J. Combin. Number Th. 5 (2005) #G07.

N. Horiguchi

Andries E. Brouwer, Naoyuki Horiguchi, Masaaki Kitazume & Hiroyuki Nakasora, A construction of the sporadic Suzuki graph from U3(4), JCT (A) 116 (2009) 1056-1062.

J. Huizinga

A. E. Brouwer & J. Huizinga, A family of 2-arc transitive pentagraphs with unbounded valency, Innov. Incidence Geom. 13 (2013) 141-147.

A. V. Ivanov

A. E. Brouwer, A. V. Ivanov & M. H. Klin, Some new strongly regular graphs, Combinatorica 9 (1989) 339-344. Zbl 709.05040

D. P. Jacobs

A. E. Brouwer, R. R. Del-Vecchio, D. P. Jacobs, V. Trevisan & C. T. M. Vinagre, Integral trees homeomorphic to a double star, Bulletin of the ICA 61 (2011) 77-80.

A. Jurišić

A. E. Brouwer, A. Jurišić & J. H. Koolen, Characterization of the Patterson graph, J. Algebra 320 (2008) 1878-1886. preprint, 2004.

S. N. Kapralov

G. T. Bogdanova, A. E. Brouwer, S. N. Kapralov & P. R. J. Östergård, Error-Correcting Codes over an Alphabet of Four Elements, Designs, Codes and Cryptography 23 (2001) 333-342. preprint, Feb. 2000.

M. Kitazume

Andries E. Brouwer, Naoyuki Horiguchi, Masaaki Kitazume & Hiroyuki Nakasora, A construction of the sporadic Suzuki graph from U3(4), JCT (A) 116 (2009) 1056-1062.

M. H. Klin

A. E. Brouwer, A. V. Ivanov & M. H. Klin, Some new strongly regular graphs, Combinatorica 9 (1989) 339-344. Zbl 709.05040

A. E. Brouwer, J. H. Koolen & M. H. Klin, A root graph that is locally the line graph of the Petersen graph, Discrete Math. 264 (2003) 13-24. preprint (Aug 2000).

H. Kok

A. E. Brouwer & H. Kok, On some properties of orderable connected spaces, Rapport no. 21, Wisk. Sem. Vrije Universiteit, Amsterdam (Jun. 1971).

A. W. J. Kolen

A. E. Brouwer & A. W. J. Kolen, A super-balanced hypergraph has a nest point, Math. Centr. report ZW146, Amsterdam (Nov. 1980). MR 81k:05077; Zbl 438.05051

J. H. Koolen

A. E. Brouwer & J. H. Koolen, A new infinite series of regular uniformly geodetic code graphs, Discr. Math. 120 (1993) 241-247.

A. E. Brouwer & J. H. Koolen, The distance-regular graphs of valency four, J. Alg. Combin. 10 (1999) 5-24. preprint (Nov. 1996).

A. E. Brouwer, J. H. Koolen & R. J. Riebeek, A new distance-regular graph associated to the Mathieu group $M_{10}$, J. Alg. Comb. 8 (1998) 153-156. preprint (May 1993).

A. E. Brouwer, J. H. Koolen & M. H. Klin, A root graph that is locally the line graph of the Petersen graph, Discrete Math. 264 (2003) 13-24. preprint (Aug 2000).

A. E. Brouwer, C. D. Godsil, J. H. Koolen & W. J. Martin, Width and dual width of subsets in polynomial association schemes, J. Combin. Th. (A) 102 (2003) 255-271.

A. E. Brouwer, A. Jurišić & J. H. Koolen, Characterization of the Patterson graph, J. Algebra 320 (2008) 1878-1886. preprint, 2004.

A. E. Brouwer & J. H. Koolen, The vertex-connectivity of a distance-regular graph, Eur. J. Combin. 30 (2009) 668-673. preprint, July 2006.

E. W. Lambeck

A. E. Brouwer & E. W. Lambeck, An inequality on the parameters of distance regular graphs and the uniqueness of a graph associated to $M_{23}$, Ann. Discrete Math. 34 (1987) 100-106. Zbl 629.05055

A. E. Brouwer, H. Cuypers & E. W. Lambeck, The hyperplanes of the $M_{24}$ near polygon, Graphs Combin. 18 (2002) 415-420. preprint (Aug 2000).

H. W. Lenstra, jr.

A. E. Brouwer & H. W. Lenstra, jr., Multiplicative division algorithms on the integers, Math. Centr. report ZN54, Amsterdam (Jun. 1973).

H. Lenz (1916-2013)

A. E. Brouwer & H. Lenz, Unterräume von Blockplänen, pp 383-389 in: Contributions to Geometry, Proc. Siegen 1978, J. Toelke & J. M. Wills (eds.), Birkhäuser Verlag, Basel, 1979. MR 82e:05026; Zbl 425.51006

A. E. Brouwer & H. Lenz, Subspaces of linear spaces of line size four, Eur. J. Combin. 2 (1981) 323-330. MR 83g:05011

J. H. van Lint (1932-2004)

A. E. Brouwer & J. H. van Lint, Strongly regular graphs and partial geometries, pp 85-122 in: Enumeration and Design - Proc. Silver Jubilee Conf. on Combinatorics, Waterloo, 1982, D. M. Jackson & S. A. Vanstone (eds.), Academic Press, Toronto, 1984. MR 87c:05033; Zbl 555.05016 Russian transl. in Kibern. Sb. Nov. Ser. 24 (1987) 186-229 Zbl 636.05013

J. van de Lune

A. E. Brouwer & J. van de Lune, A note on certain oscillating sums, Math. Centr. report ZW90, Amsterdam (Dec. 1976). Zbl 359.10029

F. J. MacWilliams (1917-1990)

M. R. Best, A. E. Brouwer, F. J. MacWilliams, A. M. Odlyzko & N. J. A. Sloane, Bounds for binary codes of length less than 25, IEEE Trans. Inform. Th. IT-24 (1978) 81-93. MR 57#19066; Zbl 369.94011 (Russian transl. in: Kibern. Sb. Nov. Ser. 17 (1980) 28-59. Zbl 456.94015)

W. J. Martin

A. E. Brouwer, C. D. Godsil, J. H. Koolen & W. J. Martin, Width and dual width of subsets in polynomial association schemes, J. Combin. Th. (A) 102 (2003) 255-271.

D. M. Mesner (1923-2009)

A. E. Brouwer & D. M. Mesner, The connectivity of strongly regular graphs, Eur. J. Combin. 6 (1985) 215-216. MR 87i:05132; Zbl 607.05045

C. F. Mills (1951-2000)

A. E. Brouwer, C. F. Mills, W. H. Mills & A. Verbeek, Counting families of mutually intersecting sets, Electronic J. Combinatorics 20(2) (2013) #P8. on-line.

W. H. Mills (1921-2007)

A. E. Brouwer, C. F. Mills, W. H. Mills & A. Verbeek, Counting families of mutually intersecting sets, Electronic J. Combinatorics 20(2) (2013) #P8. on-line.

I. Molnár-Sáska

A. E. Brouwer, G. Horváth, I. Molnár-Sáska & C. Szabó, On three-rowed Chomp, Electronic J. Combin. Number Th. 5 (2005) #G07.

H. M. Mulder

A. E. Brouwer & H. M. Mulder, The vertex connectivity of a $\{0,2\}$-graph equals its degree, Discrete Math. 169 (1997) 153-155. preprint.

T. Mussche

A. Blokhuis, A. E. Brouwer, A. Chowdhury, P. Frankl, T. Mussche, B. Patkós & T. Szőnyi, A Hilton-Milner theorem for vector spaces, Electr. J. of Combinatorics 17 (2010) R71.

H. Nakasora

Andries E. Brouwer, Naoyuki Horiguchi, Masaaki Kitazume & Hiroyuki Nakasora, A construction of the sporadic Suzuki graph from U3(4), JCT (A) 116 (2009) 1056-1062.

A. Neumaier

A. E. Brouwer & A. Neumaier, A remark on partial linear spaces of girth 5 with an application to strongly regular graphs, Combinatorica 8 (1988) 57-61. Zbl 668.05015 (= Strongly regular graphs where mu equals two and lambda is large, Math. Centrum Report ZW151/81, Amsterdam, Mar. 1981. MR 82k:05032; Zbl 448.05021)

A. E. Brouwer & A. Neumaier, The graphs with spectral radius between 2 and $\sqrt { 2 + \sqrt 5 }$, Lin. Alg. Appl. 114/115 (1989) 273-276. Zbl 678.05038

A. E. Brouwer, A. M. Cohen & A. Neumaier, Distance-regular graphs, Ergebnisse der Mathematik 3.18, Springer, Heidelberg, 1989.

M. Numata

A. E. Brouwer & M. Numata, A characterization of some graphs which do not contain 3-claws, Discr. Math. 124 (1994) 49-54.

Nguyễn Văn Minh Mẫn

A. E. Brouwer, A. M. Cohen, M. V. M. Nguyen, Fractional factorial designs of strength 3 and small run sizes, J. Statist. Planning and Inference 136 (2006) 3268-3280. preprint.

A. M. Odlyzko

M. R. Best, A. E. Brouwer, F. J. MacWilliams, A. M. Odlyzko & N. J. A. Sloane, Bounds for binary codes of length less than 25, IEEE Trans. Inform. Th. IT-24 (1978) 81-93. MR 57#19066; Zbl 369.94011 (Russian transl. in: Kibern. Sb. Nov. Ser. 17 (1980) 28-59. Zbl 456.94015)

O. Olmez

A. E. Brouwer, O. Olmez & S. Y. Song, Directed strongly regular graphs from 1½-designs, Europ. J. Comb. 33 (2012) 1174-1177. on-line.

P. R. J. Östergård

A. E. Brouwer, H. O. Hämäläinen, P. R. J. Östergård & N. J. A. Sloane, Bounds on Mixed Binary/Ternary Codes, IEEE Trans. Inf. Th. 44 (1998) 140-161. preprint (Jan. 1997).

G. T. Bogdanova, A. E. Brouwer, S. N. Kapralov & P. R. J. Östergård, Error-Correcting Codes over an Alphabet of Four Elements, Designs, Codes and Cryptography 23 (2001) 333-342. preprint, Feb. 2000.

Andries E. Brouwer & Patric R. J. Östergård, Classification of the (0,2)-graphs of valency 8, Discr. Math. 309 (2009) 532-547. preprint in TeX, DVI, 2006.

D. V. Pasechnik

A. E. Brouwer & D. V. Pasechnik, Two distance-regular graphs, J. Algebr. Combin. 36 (2012) 403-407. on-line

B. Patkós

A. Blokhuis, A. E. Brouwer, A. Chowdhury, P. Frankl, T. Mussche, B. Patkós & T. Szőnyi, A Hilton-Milner theorem for vector spaces, Electr. J. of Combinatorics 17 (2010) R71.

R. Pellikaan

A. E. Brouwer, R. Pellikaan & E. R. Verheul, Doing more with fewer bits, pp. 321-332 in Advances in Cryptology Asiacrypt '99, K. Y. Lam, E. Okamoto and C.-P. Xing, Eds., Lect. Notes Comp. Sci. 1716, Springer, Berlin 1999. preprint

C. L. Pippel

A. E. Brouwer & C. L. Pippel, The KV8/I storage scope, Math. Centr. report IW 14 (Feb. 1974).

P. Piret

A. E. Brouwer, P. Delsarte & P. Piret, On the (23,14,5) Wagner code, IEEE Trans. Inform. Th. 26 (1980) 742-743. MR 82b:94021; Zbl 466.94021

M. Popoviciu

A. E. Brouwer & M. Popoviciu, The invariants of the binary nonic, J. Symb. Comput. 45 (2010) 709-720. on-line

A. E. Brouwer & M. Popoviciu, The invariants of the binary decimic, J. Symb. Comput. 45 (2010) 837-843. on-line

A. E. Brouwer & M. Popoviciu, SL2-modules of small homological dimension, Transformation Groups 16 (2011) 599-617. on-line

Andries E. Brouwer & Mihaela Popoviciu, Sylvester versus Gundelfinger, SIGMA 8 (2012) 075, 7pp. on-line

E. C. Posner

A. E. Brouwer, E. C. Posner & Z. Reichstein, Hadamard codes which have an even number of ones in each half, Utilitas Math. 32 (1987) 131-140. Zbl 643.94013

G. F. Post

Andries E. Brouwer, Gerhard F. Post & Gerhard J. Woeginger, Tight bounds for break minimization, J. Combin. Th. (A) 115 (2008) 1065-1068.

E. Postma

A. E. Brouwer, A. M. Cohen, H. Cuypers, J. I. Hall & E. Postma, Lie algebras, 2-groups and cotriangular spaces, Aug. 2008. PDF. Advances in Geometry 12 (2012) 1-17. on-line. on-line.

D. A. Preece

A. E. Brouwer, P. J. Cameron, W. H. Haemers & D. A. Preece, Self-dual, not self-polar, Discr. Math. 306 (2006) 3051-3053. preprint (2003).

G. H. J. van Rees

A. E. Brouwer & G. H. J. van Rees, More mutually orthogonal Latin squares, Discrete Math. 39 (1982) 263-281. MR 84c:05019; Zbl (443.05018) 486.05015

Z. Reichstein

A. E. Brouwer, E. C. Posner & Z. Reichstein, Hadamard codes which have an even number of ones in each half, Utilitas Math. 32 (1987) 131-140. Zbl 643.94013

R. J. Riebeek

A. Blokhuis, A. E. Brouwer & R. Riebeek, The spectrum of the van Leijenhorst matrix, 3 May 1996. preprint.

A. E. Brouwer & R. J. Riebeek, The spectrum of the second subconstituent of the bilinear forms graph $H_q(d,e)$, Europ. J. Combin. 19 (1998) 299-305. preprint (May 1997).

A. E. Brouwer & R. J. Riebeek, The spectra of Coxeter graphs, J. Alg. Comb. 8 (1998) 15-28. preprint.

A. E. Brouwer, J. H. Koolen & R. J. Riebeek, A new distance-regular graph associated to the Mathieu group $M_{10}$, J. Alg. Comb. 8 (1998) 153-156. preprint (May 1993).

A. Sali

A. Blokhuis, A. E. Brouwer & A. Sali, Note on the size of binary Armstrong codes, Designs, Codes and Cryptography 71 (2014) 1-4. on-line, 2012.

A. Schrijver

A. E. Brouwer & A. Schrijver, On the period of an operator defined on antichains, Math. Centr. report ZW24, Amsterdam (Jun. 1974). MR 50#1990; Zbl 282.06003

A. E. Brouwer & A. Schrijver, A characterization of supercompactness with an application to treelike spaces, Math. Centr. report ZW34, Amsterdam (Dec. 1974). Zbl 292.54020

A. E. Brouwer & A. Schrijver, Two optimal constant weight codes, Math. Centr. report ZW63, Amsterdam (Dec. 1975). Zbl 321.05025

A. E. Brouwer & A. Schrijver, Graphs with balanced star-hypergraph, Math. Centr. report ZW46, Amsterdam (Dec. 1975). Zbl 323.05134

A. E. Brouwer & A. Schrijver, Cyclische codes, pp 60-76 in: Inleiding in de coderingstheorie, J. H. van Lint (ed.), MC Syllabus 31, Amsterdam, 1976.

A. E. Brouwer & A. Schrijver, A group-divisible design GD(4,1,2;n) exists iff n = 2 (mod 6), $n \ne 8$ (or: the packing of cocktailparty graphs with $K_4$'s), Math. Centr. report ZW64, Amsterdam (Mar. 1976). Zbl 324.05016

A. E. Brouwer, H. Hanani & A. Schrijver, Group-divisible designs with block-size four, Discrete Math. 20 (1977) 1-10. MR 57#5780; Zbl 371.62105
Republished as Discrete Math. 306 (2006) 939-947.

A. E. Brouwer & A. Schrijver, The blocking number of an affine space, J. Combin. Th. (A) 24 (1978) 251-253. MR 58#293; Zbl 373.05020 (Report ZN64, Math. Centr., Amsterdam, Jun. 1976)

A. E. Brouwer & A. Schrijver, Uniform hypergraphs, pp 39-73 in: Packing and Covering in Combinatorics, Study week Amsterdam 1978, A. Schrijver (ed.), Mathematical Centre Tracts 106, Math. Centr., Amsterdam, 1979. Zbl 438.05003

A. E. Brouwer, P. Duchet & A. Schrijver, Graphs whose neighbourhoods have no special cycles, Discrete Math. 47 (1983) 177-182. PDF MR 85h:05077; Zbl 546.05047

J. B. Shearer

A. E. Brouwer, James B. Shearer, N. J. A. Sloane & Warren D. Smith, A new table of constant weight codes, IEEE Trans. Inform. Th. 36 (1990) 1334-1380. Zbl 713.94017

J. Sheekey

A. E. Brouwer, R. Gow & J. Sheekey, Counting symmetric nilpotent matrices, Electronic J. Combinatorics 21 (2014) P2.4.

S. V. Shpectorov

A. E. Brouwer, D. G. Fon-der-Flaass & S. V. Shpectorov, Locally co-Heawood graphs, pp 59-68 in: Finite geometry and combinatorics - Proc. Deinze 1992, F. De Clerck et al. (eds.), London Math. Soc. Lect. Note Ser. 191, Cambridge Univ. Press, 1993.

E. E. Shult

A. E. Brouwer & E. E. Shult, Graphs with odd cocliques, Eur. J. Combin. 11 (1990) 99-104. Zbl 717.05060

P. Sin

A. E. Brouwer, J. E. Ducey & P. Sin, The elementary divisors of the incidence matrix of skew lines in PG(3,q), Proc. Amer. Math. Soc. 140 (2012) 2561-2573. on-line

N. J. A. Sloane

M. R. Best, A. E. Brouwer, F. J. MacWilliams, A. M. Odlyzko & N. J. A. Sloane, Bounds for binary codes of length less than 25, IEEE Trans. Inform. Th. IT-24 (1978) 81-93. MR 57#19066; Zbl 369.94011 (Russian transl. in: Kibern. Sb. Nov. Ser. 17 (1980) 28-59. Zbl 456.94015)

A. E. Brouwer, James B. Shearer, N. J. A. Sloane & Warren D. Smith, A new table of constant weight codes, IEEE Trans. Inform. Th. 36 (1990) 1334-1380. Zbl 713.94017

A. E. Brouwer, H. O. Hämäläinen, P. R. J. Östergård & N. J. A. Sloane, Bounds on Mixed Binary/Ternary Codes, IEEE Trans. Inf. Th. 44 (1998) 140-161. preprint (Jan. 1997).

W. D. Smith

A. E. Brouwer, James B. Shearer, N. J. A. Sloane & Warren D. Smith, A new table of constant weight codes, IEEE Trans. Inform. Th. 36 (1990) 1334-1380. Zbl 713.94017

S. Y. Song

A. E. Brouwer, O. Olmez & S. Y. Song, Directed strongly regular graphs from 1½-designs, Europ. J. Comb. 33 (2012) 1174-1177. on-line.

E. Spence

A. E. Brouwer & E. Spence, Cospectral Graphs on 12 Vertices, Electr. J. Combin. 16(1) (2009) N20. PDF

L. Storme

A. Blokhuis, S. Ball, A. E. Brouwer, L. Storme & T. Szőnyi, On the number of slopes of the graph of a function defined on a finite field, JCT (A) 86 (1999) 187-196.

C. Szabó

A. E. Brouwer, G. Horváth, I. Molnár-Sáska & C. Szabó, On three-rowed Chomp, Electronic J. Combin. Number Th. 5 (2005) #G07.

T. Szőnyi

A. Blokhuis, A. E. Brouwer & T. Szőnyi, The number of directions determined by a function f on a finite field, J. Combin. Th. (A) 70 (1995) 349-353.

A. Blokhuis, S. Ball, A. E. Brouwer, L. Storme & T. Szőnyi, On the number of slopes of the graph of a function defined on a finite field, JCT (A) 86 (1999) 187-196.

A. Blokhuis, A. E. Brouwer, A. Chowdhury, P. Frankl, T. Mussche, B. Patkós & T. Szőnyi, A Hilton-Milner theorem for vector spaces, Electr. J. of Combinatorics 17 (2010) R71.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, Covering all points except one, J. Algebr. Combin. 32 (2010) 59-66.

A. Blokhuis, A. E. Brouwer, T. Szőnyi & Z. Weiner, On q-analogues and stability theorems, J. Geometry 101 (2011) 31-50.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, On the chromatic number of q-Kneser graphs, Designs, Codes and Cryptography 65 (2012) 187-197. on-line.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, Maximal cocliques in the Kneser graph on point-plane flags in PG(4,q), Europ. J. Comb. 35 (2014) 95-104. on-line.

A. Blokhuis, A. E. Brouwer & T. Szőnyi, Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form, Indagationes Mathematicae 24 (2013) 766-773. on-line.

C. Thomassen

A. E. Brouwer, I. J. Dejter & C. Thomassen, Highly symmetric subgraphs of hypercubes, J. Alg. Comb. 2 (1993) 25-29.

R. Tijdeman

A. E. Brouwer & R. Tijdeman, On the edge-colouring problem for unions of complete uniform hypergraphs, Discrete Math. 34 (1981) 241-260. MR 82m:05043; Zbl 471.05049

L. M. G. M. Tolhuizen

A. E. Brouwer & L. M. G. M. Tolhuizen, A sharpening of the Johnson bound for binary linear codes and the nonexistence of linear codes with Preparata parameters, Designs, Codes & Cryptography 3 (1993) 95-98.

V. D. Tonchev

A. E. Brouwer, W. H. Haemers & V. D. Tonchev, Embedding Partial Geometries in Steiner Designs, pp. 33-41 in: Geometry, Combinatorial Designs and Related Structures, Proceedings of the First Pythagorean Conference, J. W. P. Hirschfeld, S. S. Magliveras, M. J. de Resmini (eds.), Cambridge University Press, 1997. preprint.

V. Trevisan

A. E. Brouwer, R. R. Del-Vecchio, D. P. Jacobs, V. Trevisan & C. T. M. Vinagre, Integral trees homeomorphic to a double star, Bulletin of the ICA 61 (2011) 77-80.

H. J. Veldman (1954-1998)

A. E. Brouwer & H. J. Veldman, Contractibility and NP-completeness, J. Graph Th. 11 (1987) 71-79. Zbl 603.05016

A. Verbeek (1946-1990)

A. E. Brouwer & A. Verbeek, Counting families of mutually intersecting sets, Math. Centr. report ZN41, Amsterdam (Mar. 1972).

A. E. Brouwer, C. F. Mills, W. H. Mills & A. Verbeek, Counting families of mutually intersecting sets, Electronic J. Combinatorics 20(2) (2013) #P8. on-line.

E. R. Verheul

A. E. Brouwer, R. Pellikaan & E. R. Verheul, Doing more with fewer bits, pp. 321-332 in Advances in Cryptology Asiacrypt '99, K. Y. Lam, E. Okamoto and C.-P. Xing, Eds., Lect. Notes Comp. Sci. 1716, Springer, Berlin 1999. preprint

T. Verhoeff

A. E. Brouwer & T. Verhoeff, An updated table of minimum-distance bounds for binary linear codes, IEEE Trans. Inform. Th. 39 (1993) 662-677

C. T. M. Vinagre

A. E. Brouwer, R. R. Del-Vecchio, D. P. Jacobs, V. Trevisan & C. T. M. Vinagre, Integral trees homeomorphic to a double star, Bulletin of the ICA 61 (2011) 77-80.

M. Voorhoeve (1950-2011)

A. E. Brouwer & M. Voorhoeve, Turán theory and the lotto problem, pp 99-105 in: Packing and Covering, A. Schrijver (ed.), Math. Centre Tracts 106, Amsterdam, 1979. Zbl 438.05025

A. J. de Vries

A. E. Brouwer, A. J. de Vries & R. M. A. Wieringa, A lower bound for the length of partial transversals in a Latin square, Nieuw Archief voor Wiskunde (3) 26 (1978) 330-332. MR 58#282; Zbl 395.05012

I. M. Wanless

A. E. Brouwer & I. M. Wanless, Universally noncommutative loops, Bulletin of the ICA 61 (2011) 113-115.

D. L. Wehlau

A. E. Brouwer, A. A. Bruen & D. L. Wehlau, There exist caps which block all spaces of fixed codimension in $PG(n,2)$, J. Comb. Th. (A) 73 (1996) 168-169.

Z. Weiner

A. Blokhuis, A. E. Brouwer, T. Szőnyi & Z. Weiner, On q-analogues and stability theorems, J. Geometry 101 (2011) 31-50.

R. M. A. Wieringa

A. E. Brouwer, A. J. de Vries & R. M. A. Wieringa, A lower bound for the length of partial transversals in a Latin square, Nieuw Archief voor Wiskunde (3) 26 (1978) 330-332. MR 58#282; Zbl 395.05012

H. A. Wilbrink

A. E. Brouwer & H. A. Wilbrink, On regular near polygons, Math. Centr. report ZW173, Amsterdam (Apr. 1982). Zbl 483.05020

A. E. Brouwer & H. A. Wilbrink, The structure of near polygons with quads, Geom. Dedicata 14 (1983) 145-176 MR 85b:05045; Zbl 521.51013

A. E. Brouwer & H. A. Wilbrink, Two infinite sequences of near polygons, Math. Centr. Report ZW194, Amsterdam (June 1983).

A. E. Brouwer, A. M. Cohen & H. A. Wilbrink, Near polygons with lines of size three and Fischer spaces, Math. Centr. report ZW191, Amsterdam (May 1983).

H. A. Wilbrink & A. E. Brouwer, A (57,14,1) strongly regular graph does not exist, Indag. Math. 45 (1983) 117-121. MR 84i:05101; Zbl 511.05056 (Math. Centr. report ZW121, Dec. 1978. Zbl 393.05028)

H. A. Wilbrink & A. E. Brouwer, A characterization of two classes of semi-partial geometries by their parameters, Simon Stevin 58 (1984) 273-288. MR 86e:51020; Zbl 558.51009

A. E. Brouwer & H. A. Wilbrink, A symmetric design with parameters 2-(49,16,5), J. Combin. Th. (A) 37 (1984) 193-194. MR 85i:05031; Zbl 541.05013

A. Blokhuis, A. E. Brouwer & H. A. Wilbrink, Heden's bound on maximal partial spreads, Discrete Math. 74 (1989) 335-339. Zbl 664.51007

C. A. Baker, Aart Blokhuis, Andries E. Brouwer & Henny A. Wilbrink, Characterization theorems for failed projective and affine planes, pp. 42-53 in: Coding Theory and Design Theory, Part II: Design Theory, Dijen Ray-Chaudhuri, ed., Springer, New York, 1990. Zbl 707.51006

A. E. Brouwer & H. A. Wilbrink, Ovoids and fans in the generalized quadrangle GQ(4,2), Geom. Dedicata 36 (1990) 121-124. (= Math. Centr. Report ZN102, Oct. 1981) Zbl 716.51007

B. Bagchi, A. E. Brouwer & H. A. Wilbrink, Notes on binary codes related to the O(5,q) generalized quadrangle for odd q, Geom. Dedicata 39 (1991) 339-355. Zbl 734.94019

Aart Blokhuis, Andries E. Brouwer & Henny A. Wilbrink, Hermitian unitals are code words, Discrete Math. 97 (1991) 63-68.

A. E. Brouwer, W. H. Haemers & H. A. Wilbrink, Some 2-ranks, Discrete Math. 106/107 (1992) 83-92.

A. E. Brouwer, A. M. Cohen, J. I. Hall & H. A. Wilbrink, Near polygons and Fischer spaces, Geometriae Dedicata 49 (1994) 349-368.

A. E. Brouwer & H. A. Wilbrink, Block Designs, pp 349-382 in: Handbook of incidence geometry, F. Buekenhout (ed.), Elsevier, Amsterdam, 1995.

A. Blokhuis, A. E. Brouwer & H. A. Wilbrink, Blocking sets in PG(2,p) for small p, and partial spreads in PG(3,7), Advances in Geometry, special issue (2003) S245-S253. heden.tex.gz (Apr 2001).

R. M. Wilson

A. E. Brouwer & R. M. Wilson, The decomposition of graphs into ladder graphs, Math. Centr. report ZN97, Amsterdam (Sep. 1980).

A. E. Brouwer, R. M. Wilson & Qing Xiang, Cyclotomy and Strongly Regular Graphs, J. Alg. Combin 10 (1999) 25-28. preprint (June 1997).

G. J. Woeginger

Andries E. Brouwer, Gerhard F. Post & Gerhard J. Woeginger, Tight bounds for break minimization, J. Combin. Th. (A) 115 (2008) 1065-1068.

A. Woldar

A. E. Brouwer, Joe Hemmeter & Andrew Woldar, The complete list of maximal cliques of Quad (n,q), q odd, Eur. J. Combin. 16 (1995) 107-110.

Qing Xiang

A. E. Brouwer, R. M. Wilson & Qing Xiang, Cyclotomy and Strongly Regular Graphs, J. Alg. Combin 10 (1999) 25-28. preprint (June 1997).

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