Extremal problems on the general Sombor index of a graph

Extremal problems on the general Sombor index of a graph

In this work we obtain new lower and upper optimal bounds of general Sombor indices. Specifically, we get 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 gen...

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Veröffentlicht in:AIMS mathematics 2022-01, Vol.7 (5), p.8330-8343
Hauptverfasser: Hernández, Juan C., Rodríguez, José M., Rosario, O., Sigarreta, José M.
Format: Artikel
Sprache:eng
Schlagworte:
degree-based topological indices
inequalities
sombor indices
variable indices
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Zusammenfassung:In this work we obtain new lower and upper optimal bounds of general Sombor indices. Specifically, we get 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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022464