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Title:
Some Notes on Sombor Index of Graphs
Authors:
Samane Rabizadeh, Mohammad Habibi, Ivan Gutman
Volume
93
Issue
3
Year
2025
Pages
853-859
Abstract Several relations for the Sombor index are presented. A simpler proof of a result by Phanjoubam and Mawiong is given. An inequality connecting graph energy and Sombor index is corrected; in its proof Arizmendi's concept of vertex energy is used. An easy estimate of Sombor index in terms of eigenvalues of Sombor matrix is stated, followed by a conjecture.