More on KG-Sombor Index of Graphs

Topological indices are generally graph-invariant numerical properties that describe the topology of a graph.The KG-Sombor index, a vertex-edge version of the Sombor index, was recently defined as follows: (formula presented), where (formula presented) indicates summation over vertices u ∈ V (G) and the edges e ∈ E(G) ue ue that are incident to u. In this work, we obtained the effect of vertex and edge removal on KG-Sombor index. Also, characterized integer values of KG-Sombor index. Finally, computed a bound for the KG-Sombor index of derived graphs, including the join of graphs, the m-splitting graph, the m-shadow graph, and the corona product of graphs.