Article ID Journal Published Year Pages File Type
4602892 Linear Algebra and its Applications 2007 14 Pages PDF
Abstract

We introduce a new type of the Bartholdi zeta function of a digraph D, and give a determinant expression of it. Furthermore, we define a new type of the Bartholdi L-function of D, and give a determinant expression of it. As a corollary, we obtain a decomposition formula for a new type of the Bartholdi zeta function of a group covering of D by new Bartholdi L-functions of D.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory