Optimal inequalities and extremal problems on the general Sombor index
Combinatorics
2021-08-12 v1
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.
Keywords
Cite
@article{arxiv.2108.05224,
title = {Optimal inequalities and extremal problems on the general Sombor index},
author = {J. C. Hernández and J. M. Rodríguez and O. Rosario and J. M. Sigarreta},
journal= {arXiv preprint arXiv:2108.05224},
year = {2021}
}