Note on Laplacian energy of graphs

H. Fath-Tabar; A. R. Ashrafi; I. Gutman

Geodesic

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Note on Laplacian energy of graphs

H. Fath-Tabar ; A. R. Ashrafi ; I. Gutman

Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 33 (2008), p. 1 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Résumé

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.) bf 134 (2007) 1--11 are improved and extended.

Zbl

Classification : 05C50
Keywords: Laplacian spectrum (of graph), Laplacian energy (of graph)

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     title = {Note on {Laplacian} energy of graphs},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {1 },
     publisher = {mathdoc},
     volume = {33},
     year = {2008},
     zbl = {1199.05217},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2008_33_a0/}
}

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H. Fath-Tabar; A. R. Ashrafi; I. Gutman. Note on Laplacian energy of graphs. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 33 (2008), p. 1 . http://geodesic.mathdoc.fr/item/BASS_2008_33_a0/