Bounds on the arithmetic-geometric index
EntityUAM. Departamento de Matemáticas
10.3390/sym13040689Symmetry 13.4 (2021): 689
ProjectGobierno de España. PID2019-106433GBI00
SubjectsArithmetic-Geometric Index; Variable Zagreb Index; General Atom-Bond Connectivity Index; Symmetric Division Deg Index; Vertex-Degree-Based Topological Index; Matemáticas
Rights© 2021 by the authors. Licensee MDPI, Basel, Switzerland
Esta obra está bajo una Licencia Creative Commons Atribución 4.0 Internacional.
The concept of arithmetic-geometric index was recently introduced in chemical graph theory, but it has proven to be useful from both a theoretical and practical point of view. The aim of this paper is to obtain new bounds of the arithmetic-geometric index and characterize the extremal graphs with respect to them. Several bounds are based on other indices, such as the second variable Zagreb index or the general atom-bond connectivity index), and some of them involve some parameters, such as the number of edges, the maximum degree, or the minimum degree of the graph. In most bounds, the graphs for which equality is attained are regular or biregular, or star graphs
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Sánchez, Sergio; Rodríguez, Henar; Sandoval, Marta