A simple and unusual bijection for Dyck paths and its consequences

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dc.creatorElizalde, Sergi
dc.creatorDeutsch, Emeric
dc.date2003-06-09
dc.date.accessioned2026-07-07T04:58:39Z
dc.date.available2026-07-07T04:58:39Z
dc.descriptionIn this paper we introduce a new bijection from the set of Dyck paths to itself. This bijection has the property that it maps statistics that appeared recently in the study of pattern-avoiding permutations into classical statistics on Dyck paths, whose distribution is easy to obtain. We also present a generalization of the bijection, as well as several applications of it to enumeration problems of statistics in restricted permutations.
dc.description13 pages, 8 figures, submitted to Annals of Combinatorics
dc.identifierhttps://arxiv.org/abs/math/0306125
dc.identifierhttp://arxiv.org/abs/math/0306125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67725
dc.subjectCombinatorics
dc.subject05A15, 05A05
dc.titleA simple and unusual bijection for Dyck paths and its consequences
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