AbstractWe 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
AbstractWe give the (Ahumada type) Selberg trace formula for a semiregular bipartite graph G. Furthe...
AbstractSince a zeta function of a regular graph was introduced by Ihara [Y. Ihara, On discrete subg...
AbstractSuppose Y is a regular covering of a finite graph X with covering transformation group π=Z. ...
AbstractWe give a decomposition formula for the weighted zeta function of a regular covering of a gr...
AbstractWe express the (Bartholdi type) L-functions of the line graph and the middle graph of a regu...
AbstractWe define the weighted Bartholdi zeta function and a weighted L-function of a graph G, and g...
AbstractWe define the weighted Bartholdi zeta function of a graph G, and give a determinant expressi...
AbstractWe give a decomposition formula for the zeta function of a group covering of a graph
AbstractWe extend Watanabe and Fukumizu’s Theorem on the edge zeta function to a regular covering of...
AbstractWe give a determinant expression for the Bartholdi zeta function of a digraph which is not s...
AbstractWe give a decomposition formula of the zeta function of a regular covering of a graph G with...
AbstractWe introduce a new type of the Bartholdi zeta function of a digraph D. Furthermore, we defin...
AbstractWe define a zeta function of a digraph and an L-function of a symmetric digraph, and give de...
AbstractWe give a decomposition formula for the Bartholdi zeta function of a regular covering of a g...
AbstractAs a continuation of computing the Bartholdi zeta function of a regular covering of a graph ...
AbstractWe give the (Ahumada type) Selberg trace formula for a semiregular bipartite graph G. Furthe...
AbstractSince a zeta function of a regular graph was introduced by Ihara [Y. Ihara, On discrete subg...
AbstractSuppose Y is a regular covering of a finite graph X with covering transformation group π=Z. ...
AbstractWe give a decomposition formula for the weighted zeta function of a regular covering of a gr...
AbstractWe express the (Bartholdi type) L-functions of the line graph and the middle graph of a regu...
AbstractWe define the weighted Bartholdi zeta function and a weighted L-function of a graph G, and g...
AbstractWe define the weighted Bartholdi zeta function of a graph G, and give a determinant expressi...
AbstractWe give a decomposition formula for the zeta function of a group covering of a graph
AbstractWe extend Watanabe and Fukumizu’s Theorem on the edge zeta function to a regular covering of...
AbstractWe give a determinant expression for the Bartholdi zeta function of a digraph which is not s...
AbstractWe give a decomposition formula of the zeta function of a regular covering of a graph G with...
AbstractWe introduce a new type of the Bartholdi zeta function of a digraph D. Furthermore, we defin...
AbstractWe define a zeta function of a digraph and an L-function of a symmetric digraph, and give de...
AbstractWe give a decomposition formula for the Bartholdi zeta function of a regular covering of a g...
AbstractAs a continuation of computing the Bartholdi zeta function of a regular covering of a graph ...
AbstractWe give the (Ahumada type) Selberg trace formula for a semiregular bipartite graph G. Furthe...
AbstractSince a zeta function of a regular graph was introduced by Ihara [Y. Ihara, On discrete subg...
AbstractSuppose Y is a regular covering of a finite graph X with covering transformation group π=Z. ...
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