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Optimal inequalities and extremal problems on the general Sombor index

2021/08/10 by J. Hernandez, Hernández, J. C., José M. Rodrı́guez +5
Chemistry · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Metal-Organic Frameworks: Synthesis and Applications #Synthesis and Properties of Aromatic Compounds

paper · pdf · doi:10.48550/arxiv.2108.05224

openalex publication_date 2021/08/10 · openalex created_date 2021/08/16 · openalex updated_date 2026/07/28

Abstract

In this work we obtain new lower and upper optimal bounds of general Sombor indices. Specifically, we have inequalities for these indices relating them with other indices: the first Zagreb index, the forgotten index and the first variable Zagreb index. Finally, we solve some extremal problems for general Sombor indices.

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