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  1. Home > Articles & Issues >
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  3. Uniquely-Wilf classe ...
Article

Uniquely-Wilf classes

Michael Albert, Jinge Li
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Submitted on
April 12, 2019
Accepted on
October 15, 2019
Published on
November 4, 2019
Last modified on
March 31, 2025
Special issue 21
vol. 21:2, Permutation Patters 2018
DOI
10.23638/DMTCS-21-2-7
License
Attribution 4.0 International (CC BY 4.0)
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1650
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627
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Uniquely-Wilf classes

Michael Albert, Jinge Li
Abstract
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. Comment: Updated to DMTCS style
Keywords
  • Mathematics - Combinatorics
  • Computer Science - Discrete Mathematics
  • 05A05, 05A15, 05-04
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