A New Determinant Expression for the Weighted Bartholdi Zeta Function of a Digraph

  • Iwao Sato
  • Hideo Mitsuhasi
  • Hideaki Morita
DOI: https://doi.org/10.37236/2649
Keywords: zeta function, digraph, covering, $L$-function

Abstract

We consider the weighted Bartholdi zeta function of a digraph $D$, and give a new determinant expression of it. Furthermore, we treat a weighted $L$-function of $D$, and give a new determinant expression of it. As a corollary, we present determinant expressions for the Bartholdi edge zeta functions of a graph and a digraph.
Published
2013-02-05
How to Cite
Sato, I., Mitsuhasi, H., & Morita, H. (2013). A New Determinant Expression for the Weighted Bartholdi Zeta Function of a Digraph. The Electronic Journal of Combinatorics, 20(1), P27. https://doi.org/10.37236/2649
Issue
Volume 20, Issue 1 (2013)
Article Number
P27