The spectral radius and the maximum degree of irregular graphs.
Cioabă, Sebastian M. (2007)
The Electronic Journal of Combinatorics [electronic only]
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Cioabă, Sebastian M. (2007)
The Electronic Journal of Combinatorics [electronic only]
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Lihua Feng, Guihai Yu (2009)
Publications de l'Institut Mathématique
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Li Su, Hong-Hai Li, Jing Zhang (2014)
Discussiones Mathematicae Graph Theory
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In this paper we observe that the minimal signless Laplacian spectral radius is obtained uniquely at the kite graph PKn−ω,ω among all connected graphs with n vertices and clique number ω. In addition, we show that the spectral radius μ of PKm,ω (m ≥ 1) satisfies [...] More precisely, for m > 1, μ satisfies the equation [...] where [...] and [...] . At last the spectral radius μ(PK∞,ω) of the infinite graph PK∞,ω is also discussed.
Das, K.Ch. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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Nikiforov, Vladimir (2007)
The Electronic Journal of Combinatorics [electronic only]
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Dragoš Cvetković (2012)
The Yugoslav Journal of Operations Research
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Babai, László, Guiduli, Barry (2009)
The Electronic Journal of Combinatorics [electronic only]
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Jianfeng Wang, Haixing Zhao, Qiongxiang Huang (2012)
Czechoslovak Mathematical Journal
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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....
Wang, Tianfei, Yang, Jin, Li, Bin (2011)
The Electronic Journal of Combinatorics [electronic only]
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