A generalized Ihara zeta function formula for simple graphs with bounded degree

2017/12/18 by Kousaka, Taichi
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1712.06363

Abstract

We establish a generalized Ihara zeta function formula for simple graphs with bounded degree. This is a generalization of the formula obtained by G. Chinta, J. Jorgenson and A. Karlsson from a vertex-transitive graph.

Related

• A generalized Bartholdi zeta function formula for simple graphs with bounded degree
• Ihara zeta functions for some simple graph families
• The Ihara expression of a generalization of the weighted zeta function on a finite digraph
• Ihara Zeta functions of infinite weighted graphs
• A note on the Grover walk and the generalized Ihara zeta function of the one-dimensional integer lattice