New Bounds on Sombor Index

Articles > Article · 2023

Authors: Ivan Gutman, Necla Kırcalı Gürsoy, Arif GÜRSOY, Alper Ülker

Communications in Combinatorics and Optimization, Journal Indexed in SCI Expanded, International, Scopus, 2023, vol 8, pp 305-311

DOI: 10.22049/CCO.2022.27600.1296

Summary

The Sombor index of the graph G is a degree based topological index, defined as SO = Puv∈E(G) pd2u + d2v, where du is the degree of the vertex u, and E(G) is the edge set of G. Bounds on SO are established in terms of graph energy, size of minimum vertex cover, matching number, and induced matching number.

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