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- W4313441736 abstract "In 2003, Deutsch and Elizalde defined a family of bijective maps between the set of Dyck paths to itself which is induced by some particular permutations. In this paper, we extend the construction of the maps by allowing the permutation to be arbitrary. We characterise the permutations which generate the same map and find all permutations generating a bijection among Dyck paths. Consequently, we give a new combinatorial interpretation of the quantity $(2n-1)!!$ as well as some new statistics of Dyck paths which are equidistributed to some known height statistics via our generalised maps." @default.
- W4313441736 created "2023-01-06" @default.
- W4313441736 creator A5052860601 @default.
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- W4313441736 date "2021-05-30" @default.
- W4313441736 modified "2023-10-18" @default.
- W4313441736 title "Permutation-generated maps between Dyck paths" @default.
- W4313441736 doi "https://doi.org/10.48550/arxiv.2105.14439" @default.
- W4313441736 hasPublicationYear "2021" @default.
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