EMIS ELibM Electronic Journals Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques
Vol. CXXXVII, No. 33, pp. 1–10 ()

Next Article

Contents of this Issue

Other Issues


ELibM Journals

ELibM Home

EMIS Home


Pick a mirror

 

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

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
© 2008–2011 FIZ Karlsruhe / Zentralblatt MATH for the EMIS Electronic Edition