Zeta functions from graphs

被引：0
|
作者：
Davis, Simon [1 ]
机构：
[1] Res Fdn Southern Calif, 8837 Villa La Jolla Dr 13595, La Jolla, CA 92039 USA
来源：
AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS | 2018年 / 15卷 / 02期
关键词：
Graph; Zeta function; Adjacency matrix; Eigenvalues;
D O I：
10.1016/j.akcej.2017.09.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The location of the nontrivial poles of a generalized zeta function is derived from the spectrum of Ramanujan graphs and bounds are established for irregular graphs. The existence of a similarity transformation of the diagonal matrix given by a specified set of eigenvalues to an adjacency matrix of a graph is proven, and the method yields a set of finite graphs with eigenvalues determined approximately by a finite subset of the poles of the Ihara zeta function. (C) 2017 Kalasalingam University. Publishing Services by Elsevier B.V.
引用
收藏
页码：224 / 228
页数：5
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