Author/Authors :
فلاحتي نژاد، فرزانه نويسنده Department of Mathematics, Science and Research Branch, Islamic Azad University, P. O. Box: 14515-1775, Tehran Falahati Nezhad, Farzaneh , ايرانمنش، علي نويسنده Department of Pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P. O. Box: 14115-137, Tehran Iranmanesh, Ali , تهرانيان، ابوالفضل نويسنده دانشگاه آزاد اسلامي علوم و تحقيقات تهران, , , آذري، مهديه نويسنده Department of Mathematics, Kazerun Branch, Islamic Azad University, P. O. Box: 73135-168, Kazerun, Azari, Mahdieh
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.
