Title
Weighted Zeta Functions of Graph Coverings
Abstract
We present a decomposition formula for the weighted zeta function of an irregular covering of a graph by its weighted L-functions. Moreover, we give a factorization of the weighted zeta function of an (irregular or regular) covering of a graph by equivalence classes of prime, reduced cycles of the base graph. As an application, we discuss the structure of balanced coverings of signed graphs.
Year
Venue
Keywords
2006
ELECTRONIC JOURNAL OF COMBINATORICS
zeta function,connected graph
Field
DocType
Volume
Discrete mathematics,Circulant graph,Combinatorics,Line graph,Cubic graph,Regular graph,Null graph,Distance-regular graph,Symmetric graph,Voltage graph,Mathematics
Journal
13.0
Issue
ISSN
Citations 
1.0
1077-8926
1
PageRank 
References 
Authors
0.41
4
1
Name
Order
Citations
PageRank
Iwao Sato17522.91