Zeta Functions of Finite Graphs

Ihara introduced the zeta function of a finite graph in 1966 in the context of <i>p</i>-adic matrix groups. The idea was generalized to all finite graphs in 1989 by Hashimoto. We will introduce the zeta function from both perspectives and show the equivalence of both forms. We will discu...

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Bibliographic Details
Main Author: Czarneski, Debra
Other Authors: Bogdan Oporowski
Format: Others
Language:en
Published: LSU 2005
Subjects:
Online Access:http://etd.lsu.edu/docs/available/etd-07072005-121013/