Weighted Zeta Functions of Graph Coverings

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.

• Type: Journal
• Year: 2006
• Where: COMBINATORICS
• Authors: Iwao Sato
• Keywords: COMBINATORICS 2006, Decomposition Formula, Weighted L-functions, Weighted Zeta Function