Ihara zeta functions for periodic simple graphs
Operator Algebras
2008-08-05 v3 Combinatorics
Group Theory
Number Theory
Abstract
The definition and main properties of the Ihara zeta function for graphs are reviewed, focusing mainly on the case of periodic simple graphs. Moreover, we give a new proof of the associated determinant formula, based on the treatment developed by Stark and Terras for finite graphs.
Keywords
Cite
@article{arxiv.math/0605753,
title = {Ihara zeta functions for periodic simple graphs},
author = {Daniele Guido and Tommaso Isola and Michel L. Lapidus},
journal= {arXiv preprint arXiv:math/0605753},
year = {2008}
}
Comments
17 pages, 7 figures. V3: minor corrections