Comparing the second multiplicative Zagreb coindex with some graph invariants

‎‎The second multiplicative Zagreb coindex of a simple graph G is‎ ‎defined as‎: ‎{\overline{\Pi{}}}_۲\left(G\right)=\prod_{uv\not\in{}E(G)}d_G\left(u\right)d_G\left(v\right),‎ ‎where d_G\left(u\right) denotes the degree of the vertex u of‎ ‎G‎. ‎In this paper‎, ‎we compare \overline{{\Pi}}_۲-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