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On the geometric-arithmetic Estrada index of graphs

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  • Liu, Chang
  • Pan, Yingui
  • Li, Jianping

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.

Suggested Citation

  • Liu, Chang & Pan, Yingui & Li, Jianping, 2021. "On the geometric-arithmetic Estrada index of graphs," Applied Mathematics and Computation, Elsevier, vol. 391(C).
    • Handle: RePEc:eee:apmaco:v:391:y:2021:i:c:s0096300320306536
    DOI: 10.1016/j.amc.2020.125700
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    References listed on IDEAS

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    1. Rodríguez, José M. & Sigarreta, José M., 2016. "Spectral properties of geometric–arithmetic index," Applied Mathematics and Computation, Elsevier, vol. 277(C), pages 142-153.
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    Cited by:

    1. Wenjie Ning & Kun Wang, 2021. "On the Estrada Indices of Unicyclic Graphs with Fixed Diameters," Mathematics, MDPI, vol. 9(19), pages 1-11, September.

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