On the Ihara expression for the generalized weighted zeta function
Combinatorics
2023-04-04 v3
Abstract
We consider the generalized weighted zeta function for a finite digraph, and show that it has the Ihara expression, a determinant expression of graph zeta functions, with a certain specified definition for inverse arcs. A finite digraph in this paper allows multi-arcs or multi-loops.
Cite
@article{arxiv.2210.13262,
title = {On the Ihara expression for the generalized weighted zeta function},
author = {Ayaka Ishikawa and Hideaki Morita},
journal= {arXiv preprint arXiv:2210.13262},
year = {2023}
}