Hernandez, Juan C.Rodríguez García, José ManuelRosario, O.Sigarreta Almira, José María2023-05-152023-05-152022Hernández, 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), 8330-8343.2473-6988https://hdl.handle.net/10016/37292In 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.14eng© 2022 the Author(s).Atribución 3.0 EspañaDegree-based topological indicesInequalitiesSombor indicesVariable indicesresearch articleMatemáticashttp://dx.doi.org/10.3934/math.2022464open access833058343AIMS Mathematics7AR/0000032669