A generalized Bartholdi zeta function for a general graph

作者:Sato Iwao*; Mitsuhashi Hideo; Morita Hideaki
来源:Linear and Multilinear Algebra, 2016, 64(5): 991-1008.
DOI:10.1080/03081087.2015.1071313

摘要

We define an (n + 1)-variable Bartholdi zeta function and an (n + 1)-variable Bartholdi L-function of a graph G, and give determinant expressions of them. We present a decomposition formula for the (n + 1)-variableBartholdi zeta function of a regular covering of G. Furthermore, we express the (n + 1)-variable Bartholdi zeta function of a regular covering of G as a product of its (n + 1)-variable Bartholdi L-functions.

  • 出版日期2016-5

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