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.
Publisher
Centre for Evaluation in Education and Science (CEON/CEES)
Reference24 articles.
1. Ali, A., Dimitrov, D. & Réti, T. 2024. On elliptic and Leonhardian Sombor indices. Unpublished article;
2. Attarzadeh, F. & Behtoei, A. 2024. Sombor and Second Zagreb Indices of Total Generalized SIERPINSKI Gasket Graph. Communications in Combinatorics, Cryptography & Computer Science, 1, pp.15-18 [online]. Available at: http://cccs.sgh.ac.ir/Articles/2024/issue%201/1-3-SomborandSecondZagrebs.pdf [Accessed: 15 January 2024];
3. Bondy, J.A. & Murty, U.S.R. 1976. Graph Theory with Applications. New York: Macmillan Press. ISBN: 0-444-19451-7;
4. Chen, M. & Zhu, Y. 2024. Extremal unicyclic graphs of Sombor index. Applied Mathematics and Computation, 463, art.number:128374. Available at: https://doi.org/10.1016/j.amc.2023.128374;
5. Das, K.C., Elumalai, S. & Balachandran, S. 2021. Open problems on the exponential vertex-degree-based topological indices of graphs. Discrete Applied Mathematics, 293, pp.38-49. Available at: https://doi.org/10.1016/j.dam.2021.01.018;
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