Extremal problems on the general Sombor index of a graph

Juan C. Hernandez,Jose M. Rodriguez,O. Rosario,Jose M. Sigarreta

AIMS MATHEMATICS（2022）

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摘要

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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关键词

Sombor indices, variable indices, degree-based topological indices, inequalities

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