Ihara zeta functions for periodic simple graphs

Mathematics – Operator Algebras

Scientific paper

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17 pages, 7 figures. V3: minor corrections

Scientific paper

10.1007/978-3-7643-8604-7

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.

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