On signed graphs with two distinct eigenvalues

Author:

Ghasemian E.1,Fath-Tabar G.H.1

Affiliation:

1. Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, Iran

Abstract

Let G? be a signed graph with the underlying graph G and with sign function ? : E(G) ? {?}. In this paper, we characterize the signed graphs with two distinct eigenvalues whose underlying graphs are triangle-free. Also, we classify all 3-regular and 4-regular signed graphs whose underlying graphs are triangle-free and give their adjacency matrices as well.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 13 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Eigenvalues and critical groups of Adinkras;Advances in Applied Mathematics;2023-02

2. Induced subgraph and eigenvalues of some signed graphs;AKCE International Journal of Graphs and Combinatorics;2022-09-02

3. Spectra of Signed Graphs;Approximation and Computation in Science and Engineering;2022

4. Signed graphs with two eigenvalues and vertex degree five;Ars Mathematica Contemporanea;2021-07-14

5. Induced subgraphs of product graphs and a generalization of Huang's theorem;Journal of Graph Theory;2021-06-06

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