Author/Authors :
GHORBANI, MODJTABA Department of Mathematics - Faculty of Science - Shahid Rajaee Teacher Training University, Tehran, I. R. Iran , RAHMANI, SHAGHAYEGH Department of Mathematics - Faculty of Science - Shahid Rajaee Teacher Training University, Tehran, I. R. Iran , ORI, OTTORINO Actinium Chemical Research, Via Casilina, Rome, Italy
Abstract :
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 ABCGG(G)= e=uv f (u,v) , where
f (u,v) = (nu ✚ nv – 2) / nunv . The 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.
