On the geometric-arithmetic Estrada index of graphs

Chang Liu, Yingui Pan and Jianping Li

Applied Mathematics and Computation, 2021, vol. 391, issue C

Abstract: The Estrada index and geometric-arithmetic index are two representative topological indices, and have been extensively utilized in QSPR/QSAR research. In this paper, we construct the geometric-arithmetic Estrada index EEGA, which is defined as the sum of terms eσk (1 ≤ k ≤ n), where σk are eigenvalues of the geometric-arithmetic matrix of an n-vertex graph G. First, we give some bounds for the geometric-arithmetic Estrada index, and characterize their corresponding extremal graphs. In addition, some connections between EEGA and the geometric-arithmetic energy of graphs (EGA) are determined.

Keywords: Estrada index; Geometric-arithmetic matrix; Geometric-arithmetic energy; Geometric-arithmetic estrada index (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320306536

DOI: 10.1016/j.amc.2020.125700

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