(* © Copyright 2016 Tom Verhoeff *)

(*
    This program is free software: you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
    (at your option) any later version.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with this program.  If not, see <http://www.gnu.org/licenses/>.
*)

Needs["PermutationGraphs`","/Users/wstomv/Documents/Mathematics/Mathematica Definitions/PermutationGraphs.wl"]

Needs["PathOperations`","/Users/wstomv/Documents/Mathematics/Mathematica Definitions/PathOperations.wl"]

multiset

extend

shorten

signature

neighbor

swapPair

stutterCount

nonStutterCount

stutters

stutterPermutationQ

stutterFreeQ

stutterize

selectOdds

permutations

stutterPermutations

nonStutterPermutations

selectByTail

HpathQ

Missing permutation:

Contains stutter permutation:

With duplicate:

Not of required signature:

No neighbors:

HCycleQ

Not closed:

Too short :

transform

When a number in the permutations does not occur in the transformation, an error results.

conditionHpath, conditionHcyle, conditionHpathNS, conditionHcycleNS

Hpath

Base cases

Exceptions

HpathNS

Base cases

[Even, Even]

[Odd, Even]

[Odd, Odd]

[k, 1, 1]

[k, 1, 1] alternative construction, in view of [k, 2, 1]

[k, 2, 1]

HpathNSAlt