Year: 2025
Type: article
Abstract: Introduction/purpose: The thorny graph of a graph G is obtained by attaching pendent vertices to the vertices of G. A mathematical study of the Sombor index of thorny graphs is undertaken. Methods: Combinatorial graph theory is applied. Results: A general expression for the Sombor index of thorny graphs is obtained, as well as lower and upper bounds. Several special cases of this general expression are pointed out. Conclusion: The paper contributes to the theory of the Sombor index.
Source: Vojnotehnicki glasnik
Author: Ivan Gutman
Institution: University of Kragujevac
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4409128182