A decomposition formula for the Bartholdi zeta function of a hypergraph covering
Combinatorics
2025-12-02 v2
Abstract
It is shown by Mizuno and Sato that the Bartholdi zeta function of a covering graph is decomposed as a product of Bartholdi zeta functions of a base graph that are associated with representations. In this paper, we extend their result to the case of a hypergraph covering.
Cite
@article{arxiv.2510.27134,
title = {A decomposition formula for the Bartholdi zeta function of a hypergraph covering},
author = {Kosei Watanabe},
journal= {arXiv preprint arXiv:2510.27134},
year = {2025}
}