Akbar Ali

collaborators

2 papers

math.CO2025

On the Augmented Sombor Index of Graphs

Kinkar Chandra Das, Akbar Ali

Let $G$ be a connected graph having more than two vertices and let $d_{i}$ denote the degree of vertex $v_{i}$ in $G$ . Let $E (G)$ represent the edge set of $G$ . Then, the augmented Som…

math.CO2025

On the Diminished Sombor Index of Fixed-Order Molecular Graphs With Cyclomatic Number at Least 3

Abdulaziz Mutlaq Alotaibi, Abdulaziz M. Alanazi, Taher S. Hassan +1

For a graph $G$ with edge set $E$ , let $d (u)$ denote the degree of a vertex $u$ in $G$ . The diminished Sombor (DSO) index of $G$ is defined as $DSO(G)=\sum_{uv\in E}\sqrt{(d(u))^2+…