On the origin of two degree - based topological indices
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 39 (2014), p. 39
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
Let $G$ be a graph with vertex sex $V(G)$ and edge set $E(G)$. Two much studied and in chemistry much applied graph invariants are the {ı first Zagreb index\/} $M_1=\sum\limits_{x \in V(G)} d(x)^2$ and the {ı second Zagreb index\/} $M_2=\sum\limits_{xy \in E(G)} d(x)\,d(y)$, where $d(x)$ is the degree of the vertex $x \in V(G)$. We analyze the way how these invariants were conceived in the 1970s and clarify some missing details.
Classification :
05C07 92E10 05C90
Keywords: Zagreb index, first Zagreb index, second Zagreb index, degree (of vertex).
Keywords: Zagreb index, first Zagreb index, second Zagreb index, degree (of vertex).
I. Gutman. On the origin of two degree - based topological indices. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 39 (2014), p. 39 . http://geodesic.mathdoc.fr/item/BASS_2014_39_a2/
@article{BASS_2014_39_a2,
author = {I. Gutman},
title = {On the origin of two degree - based topological indices},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {39 },
year = {2014},
volume = {39},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2014_39_a2/}
}