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.
Guido, D., Isola, T., Lapidus, M. (2008). Ihara Zeta Functions for Periodic Simple Graphs. In C*-ALGEBRAS AND ELLIPTIC THEORY II (pp.103-121). CAMBRIDGE : BIRKHAUSER BOSTON [10.1007/978-3-7643-8604-7].
Ihara Zeta Functions for Periodic Simple Graphs
GUIDO, DANIELE;ISOLA, TOMMASO;
2008-01-01
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.File in questo prodotto:
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