On Eigenvalues of Permutation Graphs

Document Type: Original Scientific Paper

Authors

Department of Mathematics, Faculty of Basic Sciences, Islamic Azad University, Central Tehran Branch, Tehran, Iran

10.22052/mir.2020.213088.1189

Abstract

Let λ1(G), λ2(G),..., λs(G) be the distinct eigenvalues of G with multiplicities t1, t2,..., ts, respectively. The multiset {λ1(G)t1, λ2(G)t2,..., λs(G)ts} of eigenvalues of A(G) is called the spectrum of G. For two graphs G and H, if their spectrum are the same, then G and H are said to be co-spectral. The aim of this paper is to determine co-spectral permutation graphs with respect to automorphism group of graph G.

Keywords


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Volume 4, Issue 2
Special Issue: Spectral Graph Theory and Mathematical Chemistry with Connection to Computer Science
Autumn 2019
Pages 319-325