Modified Sombor Index of Trees with a Given Diameter

Abstract

The modified Sombor index of a graph G is defined as the sum of weights 1/pd2<inf>u</inf> + d2<inf>v</inf> over all edges uv of G, where du and dv are the degrees of the vertices u and v in G, respectively. In this paper, we give some relations between the modified Sombor index and diameter of graphs. © Soc. Paran. de Mat.