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- W4383604806 abstract "Dyck paths having height at most $h$ and without valleys at height $h-1$ are combinatorially interpreted by means of 312-avoding permutations with some restrictions on their emph{left-to-right maxima}. The results are obtained by analyzing a restriction of a well-known bijection between the sets of Dyck paths and 312-avoding permutations. We also provide a recursive formula enumerating these two structures using ECO method and the theory of production matrices. As a further result we obtain a family of combinatorial identities involving Catalan numbers." @default.
- W4383604806 created "2023-07-08" @default.
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- W4383604806 date "2023-07-06" @default.
- W4383604806 modified "2023-10-18" @default.
- W4383604806 title "Restricting Dyck Paths and 312-avoiding Permutations" @default.
- W4383604806 doi "https://doi.org/10.48550/arxiv.2307.02837" @default.
- W4383604806 hasPublicationYear "2023" @default.
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