The Energy and Sombor Index of Graphs

Makaleler > Tam Makale · 2021

Yazarlar: ALPER ÜLKER, Arif GÜRSOY, Necla KIRCALI GÜRSOY

MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2021, cilt 87, ss 51-58

DOI: 10.46793/match.87-1.051u

Özet

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 index of 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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