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Computing Sharp Bounds of Metric Based Fractional Dimensions for the Sierpinski Networks

Author

Listed:
  • Arooba Fatima

    (Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan)

  • Ahmed Alamer

    (Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia)

  • Muhammad Javaid

    (Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan)

Abstract

The concept of metric dimension is widely applied to solve various problems in the different fields of computer science and chemistry, such as computer networking, integer programming, robot navigation, and the formation of chemical structuring. In this article, the local fractional metric dimension (LFMD) of the cycle-based Sierpinski networks is computed with the help of its local resolving neighborhoods of all the adjacent pairs of vertices. In addition, the boundedness of LFMD is also examined as the order of the Sierpinski networks approaches infinity.

Suggested Citation

  • Arooba Fatima & Ahmed Alamer & Muhammad Javaid, 2022. "Computing Sharp Bounds of Metric Based Fractional Dimensions for the Sierpinski Networks," Mathematics, MDPI, vol. 10(22), pages 1-12, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:22:p:4332-:d:977136
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    References listed on IDEAS

    as
    1. Muhammad Javaid & Hassan Zafar & Amer Aljaedi & Abdulaziz Mohammad Alanazi, 2021. "Boundedness of Convex Polytopes Networks via Local Fractional Metric Dimension," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-14, December.
    2. M. K. Aslam & Muhammad Javaid & Q. Zhu & Abdul Raheem, 2021. "On the Fractional Metric Dimension of Convex Polytopes," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-13, September.
    3. Muhammad Javaid & Hassan Zafar & Q. Zhu & Abdulaziz Mohammed Alanazi, 2021. "Improved Lower Bound of LFMD with Applications of Prism-Related Networks," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-9, May.
    4. Hassan Zafar & Muhammad Javaid & Ebenezer Bonyah & Gohar Ali, 2022. "Studies of Connected Networks via Fractional Metric Dimension," Journal of Mathematics, Hindawi, vol. 2022, pages 1-7, June.
    Full references (including those not matched with items on IDEAS)

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