English

The Ihara expression for generalized weighted zeta functions of Bartholdi type on finite digraphs

Combinatorics 2022-02-15 v1

Abstract

The Ihara expression of a weighted zeta function for a general finite digraph is given. It unifies all the Ihara expressions obtained for known zeta functions for finite digraphs. Any digraph in this paper permits multi-edges and multi-loops.

Keywords

Cite

@article{arxiv.2202.06001,
  title  = {The Ihara expression for generalized weighted zeta functions of Bartholdi type on finite digraphs},
  author = {Ayaka Ishikawa and Hideaki Morita and Iwao Sato},
  journal= {arXiv preprint arXiv:2202.06001},
  year   = {2022}
}