DOIAbstract
The definitions and main properties of the Ihara and Bartholdi zeta functions for infinite graphs are reviewed. The general question of the validity of a functional equation is discussed, and various possible solutions are proposed
The definitions and main properties of the Ihara and Bartholdi zeta functions for infinite graphs are reviewed. The general question of the validity of a functional equation is discussed, and various possible solutions are proposed
AbstractThree different zeta functions are attached to a finite connected, possibly irregular graphX...
AbstractWe introduce a new type of the Bartholdi zeta function of a digraph D. Furthermore, we defin...
The definition and main properties of the Ihara zeta function for graphs are reviewed, focusing main...
The definitions and main properties of the Ihara and Bartholdi zeta functions for infinite graphs ar...
The definition of the Bartholdi zeta function is extended to the, case of infinite periodic graphs. ...
Starting with Ihara's work in 1968, there has been a growing interest in the study of zeta functions...
AbstractIn this paper, we give a more direct proof of the results by Clair and Mokhtari-Sharghi [B. ...
Poles of the Ihara zeta function associated with a finite graph are described by graph-theoretic qua...
Poles of the {\it Ihara zeta function} associated with a finite graph are described by graph-theoret...
The Riemann Zeta Function has been successfully and promisingly generalized in various ways so that ...
AbstractIn 1989, Hashimoto introduced an edge zeta function of a finite graph, which is a generaliza...
AbstractSuppose Y is a regular covering of a finite graph X with covering transformation group π=Z. ...
In this paper, we give a more direct proof of the results by Clair and Mokhtari-Sharghi [B. Clair, S...
AbstractThree different zeta functions are attached to a finite connected, possibly irregular graphX...
AbstractWe introduce a new type of the Bartholdi zeta function of a digraph D. Furthermore, we defin...
The definition and main properties of the Ihara zeta function for graphs are reviewed, focusing main...
The definitions and main properties of the Ihara and Bartholdi zeta functions for infinite graphs ar...
The definition of the Bartholdi zeta function is extended to the, case of infinite periodic graphs. ...
Starting with Ihara's work in 1968, there has been a growing interest in the study of zeta functions...
AbstractIn this paper, we give a more direct proof of the results by Clair and Mokhtari-Sharghi [B. ...
Poles of the Ihara zeta function associated with a finite graph are described by graph-theoretic qua...
Poles of the {\it Ihara zeta function} associated with a finite graph are described by graph-theoret...
The Riemann Zeta Function has been successfully and promisingly generalized in various ways so that ...
AbstractIn 1989, Hashimoto introduced an edge zeta function of a finite graph, which is a generaliza...
AbstractSuppose Y is a regular covering of a finite graph X with covering transformation group π=Z. ...
In this paper, we give a more direct proof of the results by Clair and Mokhtari-Sharghi [B. Clair, S...
AbstractThree different zeta functions are attached to a finite connected, possibly irregular graphX...
AbstractWe introduce a new type of the Bartholdi zeta function of a digraph D. Furthermore, we defin...
The definition and main properties of the Ihara zeta function for graphs are reviewed, focusing main...
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