AbstractWe give a determinant expression for the Bartholdi zeta function of a digraph which is not symmetric. This is a generalization of Bartholdi’s result on the Bartholdi zeta function of a graph or a symmetric digraph
AbstractWe define a weighted zeta function of a digraph and a weighted L-function of a symmetric dig...
AbstractAs a continuation of computing the Bartholdi zeta function of a regular covering of a graph ...
Poles of the Ihara zeta function associated with a finite graph are described by graph-theoretic qua...
AbstractWe give a determinant expression for the Bartholdi zeta function of a digraph which is not s...
AbstractWe introduce a new type of the Bartholdi zeta function of a digraph D, and give a determinan...
AbstractWe introduce a new type of the Bartholdi zeta function of a digraph D. Furthermore, we defin...
We define a new type of the Bartholdi zeta function of a graph G, and give a determinant expression ...
The definition of the Bartholdi zeta function is extended to the, case of infinite periodic graphs. ...
AbstractWe give a decomposition formula for the Bartholdi zeta function of a regular covering of a g...
AbstractWe define a zeta function of a digraph and an L-function of a symmetric digraph, and give de...
AbstractSince a zeta function of a regular graph was introduced by Ihara [Y. Ihara, On discrete subg...
Since a zeta function of a regular graph was introduced by Ihara [Y. Ihara, On discrete subgroups of...
AbstractWe define the weighted Bartholdi zeta function and a weighted L-function of a graph G, and g...
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 of a graph G, and give a determinant expressi...
AbstractWe define a weighted zeta function of a digraph and a weighted L-function of a symmetric dig...
AbstractAs a continuation of computing the Bartholdi zeta function of a regular covering of a graph ...
Poles of the Ihara zeta function associated with a finite graph are described by graph-theoretic qua...
AbstractWe give a determinant expression for the Bartholdi zeta function of a digraph which is not s...
AbstractWe introduce a new type of the Bartholdi zeta function of a digraph D, and give a determinan...
AbstractWe introduce a new type of the Bartholdi zeta function of a digraph D. Furthermore, we defin...
We define a new type of the Bartholdi zeta function of a graph G, and give a determinant expression ...
The definition of the Bartholdi zeta function is extended to the, case of infinite periodic graphs. ...
AbstractWe give a decomposition formula for the Bartholdi zeta function of a regular covering of a g...
AbstractWe define a zeta function of a digraph and an L-function of a symmetric digraph, and give de...
AbstractSince a zeta function of a regular graph was introduced by Ihara [Y. Ihara, On discrete subg...
Since a zeta function of a regular graph was introduced by Ihara [Y. Ihara, On discrete subgroups of...
AbstractWe define the weighted Bartholdi zeta function and a weighted L-function of a graph G, and g...
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 of a graph G, and give a determinant expressi...
AbstractWe define a weighted zeta function of a digraph and a weighted L-function of a symmetric dig...
AbstractAs a continuation of computing the Bartholdi zeta function of a regular covering of a graph ...
Poles of the Ihara zeta function associated with a finite graph are described by graph-theoretic qua...