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Bijections between generalized Catalan families of types A and C

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.

preprint2016arXivOpen access
Myrto KallipolitiEleni Tzanaki
math.CO
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Myrto KallipolitiEleni Tzanaki

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