On the common-neighborhood energy of a graph
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 36 (2011), p. 49
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We introduce the concept of common-neighborhood energy $E_{CN}$ of a graph $G$ and obtain an upper bound for $E_{CN}$ when $G$ is strongly regular. We also show that $E_{CN}$ of several classes of graphs is less than the common-neighborhood energy of the complete graph $K_n$\,.
Classification :
05C50
Keywords: spectrum (of graph), energy (of graph), common-neighborhood spectrum, common-neighborhood energy
Keywords: spectrum (of graph), energy (of graph), common-neighborhood spectrum, common-neighborhood energy
@article{BASS_2011_36_a3,
author = {A. Alwardi and N. D. Soner and I. Gutman},
title = {On the common-neighborhood energy of a graph},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {49 },
year = {2011},
volume = {36},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2011_36_a3/}
}
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%0 Journal Article %A A. Alwardi %A N. D. Soner %A I. Gutman %T On the common-neighborhood energy of a graph %J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles %D 2011 %P 49 %V 36 %U http://geodesic.mathdoc.fr/item/BASS_2011_36_a3/ %G en %F BASS_2011_36_a3
A. Alwardi; N. D. Soner; I. Gutman. On the common-neighborhood energy of a graph. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 36 (2011), p. 49 . http://geodesic.mathdoc.fr/item/BASS_2011_36_a3/