Bounds on the arithmetic-geometric index
Entity
UAM. Departamento de MatemáticasPublisher
MDPIDate
2021-04-15Citation
10.3390/sym13040689
Symmetry 13.4 (2021): 689
ISSN
2073-8994 (online)DOI
10.3390/sym13040689Project
Gobierno de España. PID2019-106433GBI00Editor's Version
https://doi.org/10.3390/sym13040689Subjects
Arithmetic-Geometric Index; Variable Zagreb Index; General Atom-Bond Connectivity Index; Symmetric Division Deg Index; Vertex-Degree-Based Topological Index; MatemáticasRights
© 2021 by the authors. Licensee MDPI, Basel, SwitzerlandAbstract
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
Files in this item
Google Scholar:Rodríguez, José M.
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Sánchez, José L.
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Sigarreta, José M.
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Touris Lojo, Eva
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