The energy and Sombor index of graphs

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 in terms of its degrees. Moreover, we give upper...

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Bibliographic Details
Published in:Match (Mülheim) 2022, Vol.87 (1), p.51-58
Main Authors: Ülker, Alper, Gürsoy, Arif, Kırcalı Gürsoy, Necla
Format: Article
Language:English
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Summary: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 in terms of its degrees. Moreover, we give upper bound for a regular graph in terms of its Sombor index.
ISSN:0340-6253
DOI:10.46793/match.87-1.051U