Arithmetic-geometric matrix of graphs and its applications

Ruiling Zheng, Peifeng Su and Jin, Xian’an

Applied Mathematics and Computation, 2023, vol. 442, issue C

Abstract: The chemical applications of the arithmetic-geometric spectral radius ρag(G) and energy Eag(G) of a graph G are explored in this paper. We firstly investigate and compare the prediction power of arithmetic-geometric spectral radius, arithmetic-geometric energy, spectral radii and energies in some other topological descriptors and some physical properties of octane isomers. It is concluded that the arithmetic-geometric spectral radius is a good indicator in forecasting Acentric Factor, Entropy and two topological descriptors SNar, HNar of octane isomers. Since molecular graphs of octane isomers are trees, we study arithmetic-geometric spectral radius of general trees. We prove that for any tree T of order n≥2, 2cosπn+1<ρag(Pn)≤ρag(T)≤ρag(Sn)=n2, with equality holds if and only if T≅Pn (the path of order n) for the lower bound, and if and only if T≅Sn (the star of order n) for the upper bound.

Keywords: Arithmetic-geometric spectral radius; Arithmetic-geometric energy; Octane isomers; Trees (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:442:y:2023:i:c:s0096300322008323

DOI: 10.1016/j.amc.2022.127764

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