On the common-neighborhood energy of a graph
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 36 (2011) no. 1
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 $K_n$\,.
@article{BASS_2011_36_1_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 - 59},
year = {2011},
volume = {36},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2011_36_1_a3/}
}
TY - JOUR AU - A. Alwardi AU - N. D. Soner AU - I. Gutman TI - On the common-neighborhood energy of a graph JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles PY - 2011 SP - 49 EP - 59 VL - 36 IS - 1 UR - http://geodesic.mathdoc.fr/item/BASS_2011_36_1_a3/ ID - BASS_2011_36_1_a3 ER -
%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 - 59 %V 36 %N 1 %U http://geodesic.mathdoc.fr/item/BASS_2011_36_1_a3/ %F BASS_2011_36_1_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) no. 1. http://geodesic.mathdoc.fr/item/BASS_2011_36_1_a3/