Author/Authors :
فلاحتي نژاد, فرزانه islamic azad university - Department of Mathematics, Science and Research Branch, Islamic Azad University, P O Box: 14515-1775, Tehran, ايران , ايرانمنش, علي tarbiat modares university - Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P O Box: 14115-137, Tehran, تهران, ايران , تهرانيان, ابوالفضل islamic azad university - Department of Mathematics, Science and Research Branch, Islamic Azad University, P O Box: 14515-1775, Tehran, ايران , آذري, مهديه islamic azad university - Department of Mathematics, Kazerun Branch, Islamic Azad University, P O Box: 73135-168, Kazerun,, ايران
Abstract :
The second multiplicative Zagreb coindex of a simple graph $G$ is defined as: $${overline{Pi{}}}_2left(Gright)=prod_{uvnotin{}E(G)}d_Gleft(uright)d_Gleft(vright),$$ where $d_Gleft(uright)$ denotes the degree of the vertex $u$ of $G$. In this paper, we compare $overline{{Pi}}_2$-index with some well-known graph invariants such as the Wiener index, Schultz index, eccentric connectivity index, total eccentricity, eccentric-distance sum, the first Zagreb index and coindex and the first multiplicative Zagreb index and coindex.
Keywords :
Degree (in graphs) , Topological index , multiplicative Zagreb coindex ,
