Title
Weighted Bartholdi zeta functions of graphs
Abstract
We define the weighted Bartholdi zeta function of a graph G, and give a determinant expression of it. Furthermore, we define a weighted L-function of G, and present a determinant expression for the weighted L-function of G. As a corollary, we show that the weighted Bartholdi zeta function of a regular covering of G is a product of weighted L-functions of G.
Year
DOI
Venue
2006
10.1016/j.ejc.2005.03.002
Eur. J. Comb.
Keywords
Field
DocType
weighted bartholdi zeta function,weighted l-function,determinant expression,weighted l-functions,graph g,zeta function
Discrete mathematics,Graph,Combinatorics,Riemann zeta function,Arithmetic zeta function,Corollary,Mathematics
Journal
Volume
Issue
ISSN
27
5
0195-6698
Citations 
PageRank 
References 
0
0.34
4
Authors
1
Name
Order
Citations
PageRank
Iwao Sato17522.91