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arXiv · 1610.03959

Bijections between generalized Catalan families of types A and C

Myrto Kallipoliti·Eleni Tzanaki
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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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Myrto Kallipoliti, Eleni Tzanaki. 2016-10-13. Bijections between generalized Catalan families of types A and C. https://arxiv.org/abs/1610.03959

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