On the general Sombor index of unicyclic graphs with a given diameter
Abstract
The general Sombor index of G is defined as SOα(G)= Σuv∈ G(d2G(u)+d2G(v))α. For 0<α<1, we have the upper bound of SOα(G) on unicyclic graphs with a fixed diameter, and the extremal graph is also characterized.
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