Hypergraph Fuss-Catalan Numbers

2022/02/02 by Chavan, Parth, Lee, Andrew, Seetharaman, Karthik · 1 citation
#05A05 #05A19 #Combinatorics (math.CO) #FOS: Mathematics #Primary: 05A10 #Secondary: 11B65

paper · doi:10.48550/arxiv.2202.01111

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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