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Distance‐Based Topological Descriptors on Ternary Hypertree Networks

Author

Listed:
  • Yun Yu
  • D. Antony Xavier
  • Eddith Sarah Varghese
  • Deepa Mathew
  • Muhammad Kamran Siddiqui
  • Samuel Asefa Fufa

Abstract

Topological indices are numeric parameters which portray the topology of a subatomic structure. In QSAR/QSPR analysis, topological descriptors play a vital role to examine the topology of a network. An interconnection network is a structure whose components are connected physically according to some pattern. In this paper, an interconnection network, ternary hypertree, which is a structural combination of complete ternary tree and hypertree, is introduced. We have evaluated the topological descriptors grounded on the distances for the ternary hypertree. The analytical expressions for Wiener, different types of Szeged, and Mostar indices are determined.

Suggested Citation

  • Yun Yu & D. Antony Xavier & Eddith Sarah Varghese & Deepa Mathew & Muhammad Kamran Siddiqui & Samuel Asefa Fufa, 2022. "Distance‐Based Topological Descriptors on Ternary Hypertree Networks," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:4634326
    DOI: 10.1155/2022/4634326
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    References listed on IDEAS

    as
    1. S. Kanwal & M.K. Siddiqui & E. Bonyah & K. Sarwar & T.S. Shaikh & N. Ahmed, 2022. "Analysis of the Epidemic Biological Model of Tuberculosis (TB) via Numerical Schemes," Complexity, John Wiley & Sons, vol. 2022(1).
    2. Guozhen Ma & Muhammad Ibrahim & Ghazanfar Abbas & M. K. Siddiqui & Samuel Asefa Fufa, 2022. "On Degree‐Based Topological Indices of Thermodynamic Cuboctahedral Bi‐Metallic Structure," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    3. Aftab Hussain & Muhammad Numan & Nafisa Naz & Saad Ihsan Butt & Adnan Aslam & Asfand Fahad & Ahmet Sinan Cevik, 2021. "On Topological Indices for New Classes of Benes Network," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, January.
    4. Muhammad Javaid & Faiz Farid & Jia-Bao Liu & Abdulaziz Mohammed Alanazi & Abderrahim Wakif, 2022. "Exact Formulae for Degree Distance Indices of Sum Graphs," Journal of Mathematics, Hindawi, vol. 2022, pages 1-16, April.
    5. Muhammad Javaid & Faiz Farid & Jia-Bao Liu & Abdulaziz Mohammed Alanazi, 2022. "Exact Formulae for Degree Distance Indices of Sum Graphs," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    6. Guozhen Ma & Muhammad Ibrahim & Ghazanfar Abbas & M. K. Siddiqui & Samuel Asefa Fufa & Hassan Raza, 2022. "On Degree-Based Topological Indices of Thermodynamic Cuboctahedral Bi-Metallic Structure," Journal of Mathematics, Hindawi, vol. 2022, pages 1-10, June.
    7. S. Kanwal & M.K. Siddiqui & E. Bonyah & K. Sarwar & T.S. Shaikh & N. Ahmed & C. Rajivganthi, 2022. "Analysis of the Epidemic Biological Model of Tuberculosis (TB) via Numerical Schemes," Complexity, Hindawi, vol. 2022, pages 1-13, March.
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