Faculty Publications
On The Ihara Zeta Function Of Cones Over Regular Graphs
Document Type
Article
Keywords
Cone over regular graph, Graph theory Riemann hypothesis, Ihara zeta function
Journal/Book/Conference Title
Graphs and Combinatorics
Volume
29
Issue
6
First Page
1633
Last Page
1646
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. © 2012 Springer.
Department
Department of Mathematics
Original Publication Date
11-1-2013
DOI of published version
10.1007/s00373-012-1223-6
Recommended Citation
Bayati, Paymun and Somodi, Marius, "On The Ihara Zeta Function Of Cones Over Regular Graphs" (2013). Faculty Publications. 1541.
https://scholarworks.uni.edu/facpub/1541
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