Bijections between generalized Catalan families of types A and C
Combinatorics
2016-10-14 v1
Abstract
Motivated by the relation holding for the m-generalized Catalan numbers of type A and C, the connection between dominant regions of the m-Shi arrangement of type A and C is investigated. In the same line of thought, a bijection between mn+1 copies of each m-Dyck path of height n and the set of NE lattice paths inside an n times mn rectangle is provided.
Cite
@article{arxiv.1610.03959,
title = {Bijections between generalized Catalan families of types A and C},
author = {Myrto Kallipoliti and Eleni Tzanaki},
journal= {arXiv preprint arXiv:1610.03959},
year = {2016}
}
Comments
25 pages, 10 figures