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 $1/\sqrt{d^{2}_u+d^{2}_v}$ over all edges $uv$ of $G$, where $d_u$ and $d_v$ 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.Downloads
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