Open AccessExtremal problems on the general Sombor index of a graph
Author(s) -
Juan C. Hernández,
José M. Rodrı́guez,
Omar Rosario,
José M. Sigarreta
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022464
Subject(s) - index (typography) , mathematics , graph , variable (mathematics) , combinatorics , statistics , mathematical economics , computer science , mathematical analysis , world wide web
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.