Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiquesVol. CXXXVII, No. 33, pp. 1–10 ()
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Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXXVII, No. 33, pp. 1–10 () |
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Note on Laplacian energy of graphsH. Fath–Tabar, A. R. Ashrafi and I. GutmanDepartment of Mathematics, Faculty of Science, University of Kashan, Kashan 87317–51167, I. R. IranFaculty of Science, University of Kragujevac, P. O. Box 60, 34000 Kragujevac, Serbia Abstract: Let $G$ be an $(n,m)$-graph and $\mu_1,\mu_2,\ldots,\mu_n$ its Laplacian eigenvalues. The Laplacian energy $LE$ of $G$ is defined as $\sum\limits_{i=1}^n |\mu_i - 2m/n|$ . Some new bounds for $LE$ are presented, and some results from the paper B. Zhou, I. Gutman, Bull. Acad. Serbe Sci. Arts (Cl. Math. Natur.) 134 (2007) 1–11 are improved and extended. Keywords: Laplacian spectrum (of graph), Laplacian energy (of graph) Classification (MSC2000): 05C50 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 7 Sep 2008. This page was last modified: 20 Jun 2011.
© 2008 Mathematical Institute of the Serbian Academy of Science and Arts
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