On Permutations Avoiding Partially Ordered Patterns Defined by Bipartite Graphs

  • Sergey Kitaev
  • Artem Pyatkin
DOI: https://doi.org/10.37236/11199

Abstract

Partially ordered patterns (POPs) generalize the notion of classical patterns studied in the literature in the context of permutations, words, compositions and partitions. In this paper, we give a number of general, and specific enumerative results for POPs in permutations defined by bipartite graphs, substantially extending the list of known results in this direction. In particular, we completely characterize the Wilf-equivalence for patterns defined by the N-shape posets.

Published
2023-02-10
Issue
Volume 30, Issue 1 (2023)
Article Number
P1.27