The energy and Sombor index of graphs
Alper Ülker, Arif Gürsoy, Necla Kırcalı Gürsoy
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 in terms of its degrees. Moreover, we give upper bound for a regular graph in terms of its Sombor index.
Topics & Concepts
Graph energyAdjacency matrixCombinatoricsMathematicsRegular graphDistance-regular graphLine graphDegree matrixGraphVoltage graphDiscrete mathematicsGraph powerGraph theory and applicationsGraph Labeling and Dimension ProblemsComputational Drug Discovery Methods