The energy and Sombor index of graphs

Articles > Article · 2021

Authors: Alper Ulker, Arif GÜRSOY, Necla Kircali Gursoy

match Communications in Mathematical and in Computer Chemistry, Journal Indexed in SCI Expanded, International, WoS, 2021, vol 87, pp 51-58

DOI: 10.46793/match.87-1.051u

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.

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