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Fuzzy Computational Analysis of Fuzzy Tadpole Graph

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  • Shama Liaqat
  • Zeeshan Saleem Mufti
  • Yilun Shang

Abstract

In this paper, we explore the application of fuzzy topological indices to the fuzzy tadpole graph TA,B, a hybrid structure that combines the cyclic and path‐like components within a fuzzy framework. We compute and analyze several key fuzzy indices, including the fuzzy Zagreb indices, fuzzy Randić index, fuzzy Harmonic index, fuzzy Sombor index, fuzzy Misbalance Prodeg index, and fuzzy Nirmala index, to gain a comprehensive understanding of the graph structural and topological properties. Our results reveal how fuzzy indices provide deeper insight into the graph connectivity and stability, especially in scenarios where traditional (crisp) indices may be inadequate. These findings have potential applications in domains such as complex network analysis, molecular chemistry, and systems with inherent uncertainty.

Suggested Citation

  • Shama Liaqat & Zeeshan Saleem Mufti & Yilun Shang, 2025. "Fuzzy Computational Analysis of Fuzzy Tadpole Graph," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:5562580
    DOI: 10.1155/jom/5562580
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    References listed on IDEAS

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    1. Madhumangal Pal & Sovan Samanta & Ganesh Ghorai, 2020. "Modern Trends in Fuzzy Graph Theory," Springer Books, Springer, number 978-981-15-8803-7, January.
    2. Ali Tabraiz & Zeeshan Saleem Mufti & Muhammad Nauman Aslam & Naeem Saleem & Hasan Hosseinzadeh & Chiranjibe Jana, 2023. "Fuzzy Computational Analysis of Flower Graph via Fuzzy Topological Indices," Journal of Mathematics, Hindawi, vol. 2023, pages 1-8, August.
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    Cited by:

    1. Ying Wang & Ali Asghar Talebi & Mahsa Sadeghi & Aysha Khan & Jana Shafi, 2025. "An Effective Approach in Fuzzy Graph Molecular Modeling Using Randic Index and Its Applications in Medicinal Chemistry for Parkinson’s Drugs," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

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