Title
Bartholdi zeta functions of graph coverings
Abstract
We give a decomposition formula for the Bartholdi zeta function of a regular covering of a graph G. Furthermore, we define an L-function of G, and give a determinant expression of it. As a corollary, we obtain a decomposition formula for the Bartholdi zeta function of a regular covering of G by L-functions of G. Also, we present another proof of the determinant expression of the L-function of G.
Year
DOI
Venue
2003
10.1016/S0095-8956(03)00043-1
J. Comb. Theory, Ser. B
Keywords
Field
DocType
decomposition formula,graph covering,l -function,zeta function,determinant expression,bartholdi zeta function,graph g.,l function
Graph,Discrete mathematics,Combinatorics,Riemann zeta function,L-function,Prime zeta function,Arithmetic zeta function,Corollary,Mathematics
Journal
Volume
Issue
ISSN
89
1
Journal of Combinatorial Theory, Series B
Citations 
PageRank 
References 
14
2.52
1
Authors
2
Name
Order
Citations
PageRank
Hirobumi Mizuno18018.63
Iwao Sato27522.91