Scattering matrices of regular coverings of graphs
Authors:
Hirobumi Mizuno
Affiliation:
a Iond University, Tokyo, Japan b Oyama National College of Technology, Oyama, Tochigi 323-0806, Japan
Abstract:
We give a decomposition formula for the determinant on the bond scattering matrix of a regular covering of G. Furthermore, we define an L-function of G, and give a determinant expression of it. As a corollary, we express the determinant on the bond scattering matrix of a regular covering of G by means of its L-functions.
