EMIS ELibM Electronic Journals 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 graphs

H. Fath–Tabar, A. R. Ashrafi and I. Gutman

Department of Mathematics, Faculty of Science, University of Kashan, Kashan 87317–51167, I. R. Iran
Faculty 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

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

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