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Extremal problems on the general Sombor index of a graph

Juan C. Hernández, José M. Rodríguez, O. Rosario, José M. Sigarreta

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Source: Crossref

Published: Jan 1, 2022

DOI: 10.3934/math.2022464

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Source abstract

<abstract><p>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.</p></abstract>

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