Bijections between generalized Catalan families of types A and C

Published 13 Oct 2016 in math.CO | (1610.03959v1)

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.

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