Relating Sombor and Euler indices
İvan Gutman
Abstract
Introduction/purpose: The Euler-Sombor index (EU) is a new vertexdegree-based graph invariant, obtained by geometric consideration. It is closely related to the Sombor index (SO). The actual form of this relation is established. Methods: Combinatorial graph theory is applied. Results: The inequalities between EU and SO are established. Conclusion: The paper contributes to the theory of Sombor-index-like graph invariants.
Topics & Concepts
Euler's formulaMathematicsMathematical analysisGraph theory and applicationsFinite Group Theory ResearchGraph Labeling and Dimension Problems