On the Ihara Zeta Function of Cones Over Regular Graphs |
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Authors: | Paymun Bayati Marius Somodi |
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Institution: | 1. Department of Mathematics, University of Northern Iowa, Cedar Falls, IA, 50614, USA
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Abstract: | In this paper we derive a formula of the Ihara zeta function of a cone over a regular graph that involves the spectrum of the adjacency matrix of the cone. We show that the Ihara zeta function and the spectrum of the adjacency matrix of the cone determine each other and we characterize those cones that satisfy the graph theory Riemann hypothesis. |
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