scholarly journals Zeta Functions for Images of Graph Coverings by Some Operations

2001 ◽  
Vol 7 (1) ◽  
pp. 53-60 ◽  
Author(s):  
Hirobumi MIZUNO ◽  
Iwao SATO
Keyword(s):  
Zeta Functions ◽  
Graph Coverings

scholarly journals Weighted Zeta Functions of Graph Coverings

10.37236/1117 ◽  
2006 ◽  
Vol 13 (1) ◽  
Author(s):  
Iwao Sato
Keyword(s):  
Zeta Function ◽  
Zeta Functions ◽  
Equivalence Classes ◽  
Signed Graphs ◽  
Base Graph ◽  
Regular Covering ◽  
Decomposition Formula ◽  
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.

scholarly journals Zeta Functions of Graph Coverings

2000 ◽  
Vol 80 (2) ◽  
pp. 247-257 ◽  
Author(s):  
Hirobumi Mizuno ◽  
Iwao Sato
Keyword(s):  
Zeta Functions ◽  
Graph Coverings

scholarly journals Zeta functions of oriented line graphs of graph coverings

2005 ◽  
Vol 303 (1-3) ◽  
pp. 131-141 ◽  
Author(s):  
Hirobumi Mizuno ◽  
Iwo Sato
Keyword(s):  
Zeta Functions ◽  
Line Graphs ◽  
Oriented Line ◽  
Graph Coverings

scholarly journals Bartholdi zeta functions of line graphs and middle graphs of graph coverings

2005 ◽  
Vol 292 (1-3) ◽  
pp. 143-157 ◽  
Author(s):  
Hirobumi Mizuno ◽  
Iwao Sato
Keyword(s):  
Zeta Functions ◽  
Line Graphs ◽  
Graph Coverings

scholarly journals Bartholdi zeta functions of graph coverings

2003 ◽  
Vol 89 (1) ◽  
pp. 27-41 ◽  
Author(s):  
Hirobumi Mizuno ◽  
Iwao Sato
Keyword(s):  
Zeta Functions ◽  
Graph Coverings
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