Geodesic
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). 
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     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 },
     publisher = {mathdoc},
     volume = {39},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2014_39_a2/}
}
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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/