TY - JOUR
ID - 102447
TI - On the Graovac-Ghorbani Index
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Ghorbani, Modjtaba
AU - Rahmani, Shaghayegh
AU - Ori, Ottorino
AD - Department of mathematics, Shahid Rajaee Teacher Training University
AD - Department of Mathematics, SRTT University
AD - Actinum Chemical Research, Italy
Y1 - 2019
PY - 2019
VL - 10
IS - 4
SP - 295
EP - 305
KW - Atom bond connectivity index
KW - Molecular graphs
KW - topological index
DO - 10.22052/ijmc.2019.169508.1420
N2 - 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.
UR - https://ijmc.kashanu.ac.ir/article_102447.html
L1 - https://ijmc.kashanu.ac.ir/article_102447_320bebdec70cf381ee9f7a601e0ce167.pdf
ER -