A new determinant expression for the weighted Bartholdi zeta function of a digraph

作者：Sato Iwao^*; Mitsuhasi Hideo; Morita Hideaki

来源：Electronic Journal of Combinatorics, 2013, 20(1): P27.

• zeta function
• digraph covering
• L-function

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.

• 出版日期2013-2-5