On the Ihara Zeta Function of Cones Over Regular Graphs
Cone over regular graph, Graph theory Riemann hypothesis, Ihara zeta function
Graphs and Combinatorics
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. © 2012 Springer.
Original Publication Date
DOI of published version
Bayati, Paymun and Somodi, Marius, "On the Ihara Zeta Function of Cones Over Regular Graphs" (2013). Faculty Publications. 1541.