Some results on the Sombor indices of graphs
Igor Milovanović, Emina Milovanović, Akbar Ali, Marjan Matejić
Abstract
This paper is concerned with three recently introduced degree-based graph invariants; namely, the Sombor index, the reduced Sombor index and the average Sombor index. The first aim of the present paper is to give some results that may be helpful in proving a recently proposed conjecture concerning the Sombor index. Establishing inequalities related to the aforementioned three graph invariants is the second aim of this paper.
Topics & Concepts
Index (typography)ConjectureGraphMathematicsDegree (music)Discrete mathematicsCombinatoricsComputer sciencePhysicsWorld Wide WebAcousticsGraph theory and applicationsGraph Labeling and Dimension ProblemsAdvanced Graph Theory Research