SOMBOR INDEX OF k-SPLITTING GRAPHS

Rahul Munavalli; Prashant V. Patil; M. Kirankumar; Veeranayaka T. N.

doi:10.5269/bspm.79895

SOMBOR INDEX OF k-SPLITTING GRAPHS

Rahul Munavalli Vidyavardhaka College of Engineering, Mysore- 570 002.
Prashant V. Patil Jain College of Engineering, Belagavi- 590014 https://orcid.org/0000-0002-0199-0523
M. Kirankumar Vidyavardhaka College of Engineering, Mysore- 570 002
Veeranayaka T. N.

Abstract

The objective of this paper is to derive explicit formulas for the Sombor index of the k-splitting of generalized transformation graphs, denoted as spl_k(G^ab). The study systematically develops analytical expressions for the Sombor index in terms of the parameters of the original graph and the splitting factor k. Furthermore, analogous formulas are established for the complements of spl_k(G^ab) , providing a comprehensive characterization of their structural properties.