A Simple and Unusual Bijection for Dyck Paths and Its Consequences Sergi Elizalde and Emeric Deutsch
نویسنده
چکیده
In 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.
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