Hypergraph Fuss-Catalan Numbers
Combinatorics
2022-02-03 v1
Abstract
The Catalan numbers 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.
Cite
@article{arxiv.2202.01111,
title = {Hypergraph Fuss-Catalan Numbers},
author = {Parth Chavan and Andrew Lee and Karthik Seetharaman},
journal= {arXiv preprint arXiv:2202.01111},
year = {2022}
}
Comments
19 pages, 9 figures