The Maximum Reduced Sombor Index of Unicyclic Graphs in terms of the Girth

The Reduced sombor index is defined as RSO(G)=∑_(uv ∈E(G))√((d_G (u)-1)^2+(d_G (v)-1)^2 ) A unicyclic graph is a graph with exactly one cycle. The unicyclic graphs are well-studied for other topological indices. The Reduced sombor index is studied in this article and proved novel results on the bounds with the restrictions to the unicyclic graphs. This work concentrates on the extreme values of the Reduced sombor index. We propose a maximum value for the Reduced sombor index of unicyclic graph and the unicyclic graphs attaining the maximum Reduced Sombor index are achieved.