A generalized Bartholdi zeta function for a regular covering of a bipartite graph

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Abstract

Recently, Sato [13] introduced a generalized Bartholdi zeta function of a bipartite graph, and presented three determinant expressions of it. At first, we present a decomposition formula for the generalized Bartholdi zeta function of a regular covering of a bipartite graph G. Furthermore, we introduce a generalized Bartholdi L-function of G, and give three determinant expressions of it. As applications, we present three types of decomposition formulas for the generalized Bartholdi zeta function of a regular covering of G by its generalized Bartholdi L-functions. © 2012 Elsevier Inc. All rights reserved.

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APA

Sato, I., & Saito, S. (2013). A generalized Bartholdi zeta function for a regular covering of a bipartite graph. Linear Algebra and Its Applications, 438(3), 1025–1056. https://doi.org/10.1016/j.laa.2012.09.007

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