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On permutations avoiding partially ordered patterns defined by bipartite graphs - MaRDI portal

On permutations avoiding partially ordered patterns defined by bipartite graphs (Q2684900)

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scientific article; zbMATH DE number 7655022
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On permutations avoiding partially ordered patterns defined by bipartite graphs
scientific article; zbMATH DE number 7655022

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    On permutations avoiding partially ordered patterns defined by bipartite graphs (English)
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    17 February 2023
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    Summary: 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.
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