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Relating Sombor and Euler indices

2024; University of Defence; Volume: 72; Issue: 1 Linguagem: Inglês

10.5937/vojtehg72-48818

ISSN

2217-4753

Autores

Iván Gutman,

Tópico(s)

Graph Labeling and Dimension Problems

Resumo

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.

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