On the Ihara Zeta Function of Cones Over Regular Graphs
On the Ihara Zeta Function of Cones Over Regular Graphs
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DOI：
10.1007/s00373-012-1223-6
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发表时间：
2013-11
影响因子：
0.7
通讯作者：
Paymun Bayati;M. Somodi
中科院分区：
文献类型：
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作者：
Paymun Bayati;M. Somodi
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.
