A generalized Bartholdi zeta function for a general graph. Issue 5 (3rd May 2016)

• Record Type: Journal Article
• Authors: Sato, Iwao; Mitsuhashi, Hideo; Morita, Hideaki
• Is Part Of: Linear & multilinear algebra. Volume 64:Issue 5(2016)
• Page Start: 991
• Page End: 1008
• Publication Date: 2016-05-03
• Subjects: zeta function -- graph covering; 05C50 -- 15A15; Algebras, Linear -- Periodicals; Multilinear algebra -- Periodicals; 512.505
• DOI: 10.1080/03081087.2015.1071313
• Languages: English
• ISSNs: 0308-1087

Abstract

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