Proofs of Conjectures about Pattern-Avoiding Linear Extensions

After fixing a canonical ordering (or labeling) of the elements of a finite poset, one can associate each linear extension of the poset with a permutation. Some recent papers consider specific families of posets and ask how many linear extensions give rise to permutations that avoid certain patterns...

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Bibliographic Details
Main Author: Colin Defant
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2019-10-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/5438/pdf