Michael Albert ; Jinge Li - Uniquely-Wilf classes

dmtcs:5374 - Discrete Mathematics & Theoretical Computer Science, November 4, 2019, Vol. 21 no. 2, Permutation Patters 2018 - https://doi.org/10.23638/DMTCS-21-2-7
Uniquely-Wilf classesArticle

Authors: Michael Albert ; Jinge Li

    Two permutations in a class are Wilf-equivalent if, for every size, $n$, the number of permutations in the class of size $n$ containing each of them is the same. Those infinite classes that have only one equivalence class in each size for this relation are characterised provided either that they avoid at least one permutation of size 3, or at least three permutations of size 4.


    Volume: Vol. 21 no. 2, Permutation Patters 2018
    Published on: November 4, 2019
    Accepted on: October 15, 2019
    Submitted on: April 12, 2019
    Keywords: Mathematics - Combinatorics,Computer Science - Discrete Mathematics,05A05, 05A15, 05-04

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