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.

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Main Subjects


Volume 10, Issue 3
September 2025
Pages 293-304
  • Receive Date: 14 July 2025
  • Accept Date: 29 July 2025
  • First Publish Date: 07 August 2025
  • Publish Date: 01 September 2025