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Several Topological Indices of Two Kinds of Tetrahedral Networks

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  • Jia-Bao Liu
  • Lu-Lu Fang
  • Ljubisa Kocinac

Abstract

Tetrahedral network is considered as an effective tool to create the finite element network model of simulation, and many research studies have been investigated. The aim of this paper is to calculate several topological indices of the linear and circle tetrahedral networks. Firstly, the resistance distances of the linear tetrahedral network under different classifications have been calculated. Secondly, according to the above results, two kinds of degree-Kirchhoff indices of the linear tetrahedral network have been achieved. Finally, the exact expressions of Kemeny’s constant, Randic index, and Zagreb index of the linear tetrahedral network have been deduced. By using the same method, the topological indices of circle tetrahedral network have also been obtained.

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  • Jia-Bao Liu & Lu-Lu Fang & Ljubisa Kocinac, 2021. "Several Topological Indices of Two Kinds of Tetrahedral Networks," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, September.
    • Handle: RePEc:hin:jjmath:9800246
    DOI: 10.1155/2021/9800246
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    Cited by:

    1. Liang He & Xiaoqing Li & Shaohua Lei & Bo Bi & Suozhong Chen, 2023. "A Front Advancing Adaptive Triangular Mesh Dynamic Generation Algorithm and Its Application in 3D Geological Modeling," Sustainability, MDPI, vol. 15(9), pages 1-16, April.

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