Weighted Bartholdi zeta functions of graphs

  • Authors:

  • Iwao Sato

  • Affiliations:

  • Oyama National College of Technology, Oyama, Tochigi, Japan

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2006

Quantified Score

Hi-index 0.00

Visualization

Abstract

We define the weighted Bartholdi zeta function of a graph G, and give a determinant expression of it. Furthermore, we define a weighted L-function of G, and present a determinant expression for the weighted L-function of G. As a corollary, we show that the weighted Bartholdi zeta function of a regular covering of G is a product of weighted L-functions of G.