Petersburg Department of Steklov Institute of Mathematics

PREPRINT 07/2000


A.M.NIKITIN

THE IHARA--SELBERG ZETA FUNCTION OF A FINITE GRAPH AND SYMBOLIC DYNAMICS

This preprint was accepted July 2000
Contact: A.M.Nikitin

ABSTRACT:
In this paper we find a simple combinatorial
treatment of the Bass' evaluation of the Ihara--Selberg
zeta function for a finite graph in terms
of a natural symbolic dynamics attached to a graph.
A generalization of this result
for a graph with labeling is given.


                       
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