198 citations · 1.1k across the 43 of their papers we have counts for
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Ihara's zeta function for periodic graphs and its approximation in the amenable case
Daniele Guido, Tommaso Isola, Michel L. Lapidus
In this paper, we give a more direct proof of the results by Clair and Mokhtari-Sharghi on the zeta functions of periodic graphs. In particular, using appropriate operator-algebrai…
A trace on fractal graphs and the Ihara zeta function
Daniele Guido, Tommaso Isola, Michel L. Lapidus
Starting with Ihara's work in 1968, there has been a growing interest in the study of zeta functions of finite graphs, by Sunada, Hashimoto, Bass, Stark and Terras, Mizuno and Sato…
Ihara zeta functions for periodic simple graphs
Daniele Guido, Tommaso Isola, Michel L. Lapidus
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 a…