Ihara zeta functions for periodic simple graphs

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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.
17 pages, 7 figures. V3: minor corrections

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Operator Algebras, Combinatorics, Group Theory, Number Theory, 05C25; 05C38; 46Lxx; 11M41

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http://salesiana.dossiersoluciones.com/handle/123456789/166377

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0605753
 http://arxiv.org/abs/math/0605753
 in C*-algebras and elliptic theory II, p. 103 - 121. Edited by D.Burghelea, R.Melrose, A.Mishchenko, E.Troitsky. Trends in Mathematics, Birkhauser Verlag, Basel, 2008
 doi:10.1007/978-3-7643-8604-7

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arXiv