The Laplacian spread of tricyclic graphs.
Chen, Yanqing, Wang, Ligong (2009)
The Electronic Journal of Combinatorics [electronic only]
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Chen, Yanqing, Wang, Ligong (2009)
The Electronic Journal of Combinatorics [electronic only]
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Torgašev, Aleksandar (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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Dragoš Cvetković (2009)
Zbornik Radova
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Dragoš Cvetković (2011)
Zbornik Radova
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Gurusamy Rengasamy Vijayakumar (2013)
Discussiones Mathematicae Graph Theory
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The infimum of the least eigenvalues of all finite induced subgraphs of an infinite graph is defined to be its least eigenvalue. In [P.J. Cameron, J.M. Goethals, J.J. Seidel and E.E. Shult, Line graphs, root systems, and elliptic geometry, J. Algebra 43 (1976) 305-327], the class of all finite graphs whose least eigenvalues ≥ −2 has been classified: (1) If a (finite) graph is connected and its least eigenvalue is at least −2, then either it is a generalized line graph or it is represented...
Dragoš Cvetković, Peter Rowlinson, Slobodan Simić (2007)
Publications de l'Institut Mathématique
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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....
A. Alwardi, N. D. Soner, I. Gutman (2011)
Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques
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Ghorbani, Ebrahim, Koolen, Jack H., Yang, Jae Young (2009)
The Electronic Journal of Combinatorics [electronic only]
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Mirjana Lazić (2006)
Czechoslovak Mathematical Journal
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In this paper we consider the energy of a simple graph with respect to its Laplacian eigenvalues, and prove some basic properties of this energy. In particular, we find the minimal value of this energy in the class of all connected graphs on vertices . Besides, we consider the class of all connected graphs whose Laplacian energy is uniformly bounded by a constant , and completely describe this class in the case .
Petrović, Miroslav (1991)
Publications de l'Institut Mathématique. Nouvelle Série
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