Work

Investigation of General Sombor Index for Optimal Values in Bicyclic Graphs, Trees, and Unicyclic Graphs Using Well-Known Transformations

Year: 2025

Type: article

Abstract: The field related to indices was developed by researchers for various purposes. Optimization is one of the purposes used by researchers in different situations. In this article, a generalized Sombor index is considered. This work is related to the idea of optimization in the families of bicyclic graphs, trees, and unicyclic graphs. We investigated optimal values in the stated families by means of well-known transformations. The transformations include the following: Transformation A, Transformation B, Transformation C, and Transformation D. Transformation A and Transformation B increase the value of the generalized Sombor index, while Transformation C and Transformation D are used for minimal values.

Source: Symmetry

DOI: 10.3390/sym17060968

Authors: Miraj Khan, Muhammad Yasin Khan, Gohar Ali, Ioan-Lucian Popa

Institutions: Islamia College University, Transylvania University of Brașov, 1 Decembrie 1918 University

Language: English

Topic: Graph theory and applications

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4411427375

FWCI:

Cites: 18

Cited by:

Related to: 10