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Extremal problems on the general Sombor index of a graph

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URI: https://hdl.handle.net/10016/37292
ISSN: 2473-6988
DOI: http://dx.doi.org/10.3934/math.2022464
UXXI: AR/0000032669
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Extremal_AIMSM_2022.pdf (224.28 KB)
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2022
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AIMS Press
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Abstract
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.
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Degree-based topological indices, Inequalities, Sombor indices, Variable indices
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Hernández, J. C., Rodríguez, J. M., Rosario, O., & Sigarreta, J. M. (2022). Extremal problems on the general Sombor index of a graph. AIMS mathematics, 7(5), 8330-8343.
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