The Energy and Sombor Index of Graphs
Articles > Article · 2021
Authors: ALPER ÜLKER, Arif GÜRSOY, Necla KIRCALI GÜRSOY
MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, Journal Indexed in SCI Expanded, International, WoS, 2021, vol 87, pp 51-58
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 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.