%0 Journal Article
%T On the Graovac-Ghorbani Index
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Ghorbani, Modjtaba
%A Rahmani, Shaghayegh
%A Ori, Ottorino
%D 2019
%\ 12/01/2019
%V 10
%N 4
%P 295-305
%! On the Graovac-Ghorbani Index
%K Atom bond connectivity index
%K Molecular graphs
%K topological index
%R 10.22052/ijmc.2019.169508.1420
%X For the edge e = uv of a graph G, let nu = n(u|G) be the number of vertices of G lying closer to the vertex u than to the vertex v and nv= n(v|G) can be defined simailarly. Then the ABCGG index of G is defined as ABCGGÂ =\sum_{e=uv} \sqrt{f(u,v)}, where f(u,v)= (nu+nv-2)/nunvThe aim of this paper is to give some new results on this graph invariant. We also calculate the ABCGG of an infinite family of fullerenes.
%U https://ijmc.kashanu.ac.ir/article_102447_320bebdec70cf381ee9f7a601e0ce167.pdf