RT Journal Article T1 Extremal problems on the general Sombor index of a graph A1 Hernandez, Juan C. A1 Rodríguez García, José Manuel A1 Rosario, O. A1 Sigarreta Almira, José María AB 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. PB AIMS Press SN 2473-6988 YR 2022 FD 2022 LK https://hdl.handle.net/10016/37292 UL https://hdl.handle.net/10016/37292 LA eng NO We would like to thank the reviewers by their careful reading of the manuscript and their suggestions which have improved the presentation of this work. The research of José M. Rodríguez and José M. Sigarreta was supported by a grant from Agencia Estatal de Investigación (PID2019-106433GB-I00/AEI/10.13039/501100011033), Spain. The research of Jose M. Rodríguez is supported by the Madrid Government (Comunidad de Madrid-Spain) under the Multiannual Agreement with UC3M in the line of Excellence of University Professors (EPUC3M23), and in the context of the V PRICIT (Regional Programme of Research and Technological Innovation). DS e-Archivo RD 17 jul. 2024