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Title:
The energy and Sombor index of graphs
Authors:
Alper Ülker, Arif Gürsoy, Necla Kırcalı Gürsoy
doi:
Volume
87
Issue
1
Year
2022
Pages
51-58
Abstract The energy of a graph is defined to be the sum of absolute values of eigenvalues of its adjacency matrix. The Sombor index of a graph is a novel topological indexof a graph. In this paper, we study relations between energy and Sombor index of a graph \(G\) in terms of its degrees. Moreover, we give upper bound for a regular graph in terms of its Sombor index.

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