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Spectral characterization of multicone graphs
Authors:Jianfeng Wang  Haixing Zhao  Qiongxiang Huang
Affiliation:1. Department ofMathematics, Qinghai Normal University, Xining, Qinghai, 810008, P.R.China
2. College of Computer Science, Qinghai Normal University, Xining, Qinghai, 810008, P.R.China
3. College of Mathematics and System Science, Xinjiang University, Urumqi, 830046, P.R.China
Abstract:A multicone graph is defined to be the join of a clique and a regular graph. Based on Zhou and Cho’s result [B. Zhou, H.H. Cho, Remarks on spectral radius and Laplacian eigenvalues of a graph, Czech. Math. J. 55 (130) (2005), 781–790], the spectral characterization of multicone graphs is investigated. Particularly, we determine a necessary and sufficient condition for two multicone graphs to be cospectral graphs and investigate the structures of graphs cospectral to a multicone graph. Additionally, lower and upper bounds for the largest eigenvalue of a multicone graph are given.
Keywords:
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