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On Computing Techniques for Sombor Index of Some Graphs

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  • Kiran Naz
  • Sarfraz Ahmad
  • Eihab Bashier
  • Musavarah Sarwar

Abstract

In all types of topological indicators, degree-based indicators play a major role in chemical graph theory. The topological index is a fixed numeric value associated with graph isomerism. Firstly, in 1972, the concept of degree-based index was developed by Gutman and Trinajstic. These degree-based indices are divided into two ways, namely, degree and connection number. These degree-based graph indices are positive-valued for non-regular graphs and zero for regular graphs. In this article, we discussed the degree-based Sombor, reduced Sombor, and average Sombor indices for wheel graph, gear graph, helm graph, flower graph, sunflower graph, and lobster graph.

Suggested Citation

  • Kiran Naz & Sarfraz Ahmad & Eihab Bashier & Musavarah Sarwar, 2022. "On Computing Techniques for Sombor Index of Some Graphs," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-13, October.
    • Handle: RePEc:hin:jnlmpe:1329653
    DOI: 10.1155/2022/1329653
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