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Hypergraph Fuss-Catalan Numbers

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arxiv 2202.01111 v1 pith:CBXHMU5V submitted 2022-02-02 math.CO

Parth Chavan , Andrew Lee , Karthik Seetharaman This is my paper · ORCID
classification math.CO
keywords numbersfuss-catalanhypergraphcatalancombinatorialanswerappearbeen
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abstract

The Catalan numbers $C_n$ are an extremely well-studied sequence of numbers that appear as the answer to many combinatorial problems. Two generalizations of these numbers that have been studied are the Fuss-Catalan numbers and the Hypergraph Catalan numbers. In this paper, we study the combination of these, the Hypergraph Fuss-Catalan numbers. We provide some combinatorial interpretations of these numbers, as well as describe their generating function.

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Cited by 1 Pith paper

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  1. Symmetry in Tree Parking Distributions

    math.CO 2025-08 reject novelty 6.0 of 10

    Tree parking distributions on m-regular caterpillars yield a q,t-Fuss-Catalan generating function in which the lucky-car and first-spot statistics have a symmetric joint distribution.

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