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Computation of Differential, Integral Operators and Quantitative Structure–Property Analysis of Boron α‐Icosahedral Nanosheet

Author

Listed:
  • Khalil Hadi Hakami
  • Abdul Rauf Khan
  • Saad Amin Bhatti

Abstract

In its crystalline state, the α‐icosahedral nanosheet of boron demonstrates superconductivity and thermal electronic properties. Mathematical research on a graph’s structure yields a graph descriptor, a numerical measure. Chemical graph theory employs connectivity descriptors to analyze molecular structures, providing crucial insights into many chemical compounds’ chemical and biological characteristics. These characteristics benefit physicists, chemists, and medical and pharmaceutical specialists. In this paper, the idea of reverse degree–based RdM‐polynomial is initiated, and differential and integral operators are computed. We formulate reverse degree–based topological descriptors based on this concept. In this paper, we examine the boron α‐icosahedral nanosheet for this technique. We looked at the physicochemical properties of boron α‐icosahedral nanosheets using reverse degree–based topological descriptors and best‐fit linear regression models to get an idea of what they are. Researchers are hoping that this strategy will lead them into new areas where they can investigate related studies.

Suggested Citation

  • Khalil Hadi Hakami & Abdul Rauf Khan & Saad Amin Bhatti, 2025. "Computation of Differential, Integral Operators and Quantitative Structure–Property Analysis of Boron α‐Icosahedral Nanosheet," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
  • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:5607620
    DOI: 10.1155/jom/5607620
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    References listed on IDEAS

    as
    1. Deeba Afzal & Farkhanda Afzal & Sabir Hussain & Faryal Chaudhry & Dhana Kumari Thapa & Gohar Ali, 2022. "Investigation on Boron Alpha Nanotube by Studying Their M-Polynomial and Topological Indices," Journal of Mathematics, Hindawi, vol. 2022, pages 1-7, January.
    2. Deeba Afzal & Farkhanda Afzal & Sabir Hussain & Faryal Chaudhry & Dhana Kumari Thapa, 2022. "Investigation on Boron Alpha Nanotube by Studying Their M‐Polynomial and Topological Indices," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    3. Abdul Rauf Khan & Zafar Ullah & Muhammad Imran & Sidra Aziz Malik & Lamis M Alamoudi & Murat Cancan, 2024. "Molecular temperature descriptors as a novel approach for QSPR analysis of Borophene nanosheets," PLOS ONE, Public Library of Science, vol. 19(6), pages 1-40, June.
    4. Liu, Jia-Bao & Zheng, Ya-Qian & Lee, Chien-Chiang, 2024. "Statistical analysis of the regional air quality index of Yangtze River Delta based on complex network theory," Applied Energy, Elsevier, vol. 357(C).
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