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 .

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 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 
@article{BASS_2015_40_a2,
     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 },
     publisher = {mathdoc},
     volume = {40},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2015_40_a2/}
}
TY  - JOUR
AU  - Boris Furtula
AU  - Ivan Gutman
AU  - Žana Kovijanić Vukićević
AU  - Giorgi Lekishvili
AU  - Goran Popivoda
TI  - On an old/new degree-based topological index
JO  - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY  - 2015
SP  - 19 
VL  - 40
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BASS_2015_40_a2/
LA  - en
ID  - BASS_2015_40_a2
ER  - 
%0 Journal Article
%A Boris Furtula
%A Ivan Gutman
%A Žana Kovijanić Vukićević
%A Giorgi Lekishvili
%A Goran Popivoda
%T On an old/new degree-based topological index
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2015
%P 19 
%V 40
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BASS_2015_40_a2/
%G en
%F BASS_2015_40_a2
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/