Relating Sombor and Euler indices

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 inequaliti...

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Bibliographic Details
Main Author: Ivan Gutman
Format: Article
Language:English
Published: University of Defence in Belgrade 2024-01-01
Series:Vojnotehnički Glasnik
Subjects:
Online Access:https://scindeks.ceon.rs/article.aspx?artid=0042-84692401001G
Description
Summary: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.
ISSN:0042-8469
2217-4753