SOMBOR INDEX OF k-SPLITTING GRAPHS

Authors

  • 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.

DOI:

https://doi.org/10.5269/bspm.79895

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 splk(Gab). 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  splk(Gab) , providing a comprehensive characterization of their structural properties.

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Published

2026-03-29

Issue

Vol. 44 (2026): Research Articles

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

 

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