EMIS ELibM Electronic Journals Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques
Vol. CXXXVII, No. 33, pp. 131–146 ()

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New theorems for signless Laplacian eigenvalues

D. Cvetkovic

Mathematical Institute SANU, P.O. Box 367, 11000 Belgrade, Serbia

Abstract: We extend our previous surveys of properties of spectra of signless Laplacians of graphs. Some new theorems for the signless Laplacian eigenvalues are given. In particular, a theorem on spectral characterization of graphs with $Q$-index not exceeding 4 is proved. The signless Laplacian eigenvalues of connected graphs on six vertices are given in Appendix.

Keywords: graph theory, graph spectra, signless Laplacian, subdivision graph, tree, unicyclic graph

Classification (MSC2000): 05C50

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Electronic fulltext finalized on: 7 Sep 2008. This page was last modified: 20 Jun 2011.

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