The Sombor index for unicyclic and bicyclic graphs with given (total) domination number

Document Type : Full Length Article

Authors

Department of Mathematics, Tafresh University, Tafresh 39518-79611, Iran.

Abstract

The Sombor index is one of the vertex-degree-based topological indices that was introduced in 2021 by Gutman. In this paper we obtain some bounds of Sombor index of trees, unicyclic and bicyclic graphs with given (total) domination number.

Graphical Abstract

The Sombor index for unicyclic and bicyclic graphs with given (total) domination number

Keywords

Main Subjects