Geodesic
On an old/new degree-based topological index
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 40 (2015), p. 19 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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Let $G$ be a graph with vertex sex $V(G)$ and let $d(x)$ be the degree of the vertex $x \in V(G)$. The graph invariant $F = \sum\limits_{x \in V(G)} d(x)^3$ played some role in a paper published in 1972, but has not attracted any attention until quite recently. In 2014 an unexpected chemical application of the $F$-index was discovered, which motivated us to establish its basic mathematical properties. Results obtained along these lines are presented.
Classification : 05C07, 92E10, 05C90
Keywords: $F$-index, forgotten topological index, degree (of vertex), Zagreb indices, degree-based topological indices 
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     author = {Boris Furtula and Ivan Gutman and \v{Z}ana Kovijani\'c Vuki\'cevi\'c and Giorgi Lekishvili and Goran Popivoda},
     title = {On an old/new degree-based topological index},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {19 },
     year = {2015},
     volume = {40},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2015_40_a2/}
}
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Boris Furtula; Ivan Gutman; Žana Kovijanić Vukićević; Giorgi Lekishvili; Goran Popivoda. On an old/new degree-based topological index. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 40 (2015), p. 19 . http://geodesic.mathdoc.fr/item/BASS_2015_40_a2/