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Tangled Cord of FTTM 4

Author

Listed:
  • Noorsufia Abd Shukor

    (Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81300, Johor, Malaysia)

  • Tahir Ahmad

    (Malaysian Mathematical Sciences Society, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia)

  • Mujahid Abdullahi

    (Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81300, Johor, Malaysia
    Department of Mathematics and Computer Science, Faculty of Natural and Applied Sciences, Sule Lamido University, Kafin Hausa 048, Jigawa, Nigeria)

  • Amidora Idris

    (Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Skudai 81300, Johor, Malaysia)

  • Siti Rahmah Awang

    (Department of Management and Technology, Faculty of Management, Universiti Teknologi Malaysia, Skudai 81310, Johor, Malaysia)

Abstract

Fuzzy Topological Topographic Mapping (FTTM) is a mathematical model that consists of a set of homeomorphic topological spaces designed to solve the neuro magnetic inverse problem. A sequence of FTTM, denoted as F T T M n , is an extension of FTTM that is arranged in a symmetrical form. The special characteristic of FTTM, namely the homeomorphisms between its components, allows the generation of new FTTM. Later, the F T T M n can also be viewed as a graph. Previously, a group of researchers defined an assembly graph and utilized it to model a DNA recombination process. Some researchers then used this to introduce the concept of tangled cords for assembly graphs. In this paper, the tangled cord for F T T M 4 is used to calculate the Eulerian paths. Furthermore, it is utilized to determine the least upper bound of the Hamiltonian paths of its assembly graph. Hence, this study verifies the conjecture made by Burns et al.

Suggested Citation

  • Noorsufia Abd Shukor & Tahir Ahmad & Mujahid Abdullahi & Amidora Idris & Siti Rahmah Awang, 2023. "Tangled Cord of FTTM 4," Mathematics, MDPI, vol. 11(12), pages 1-25, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:12:p:2613-:d:1166029
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    References listed on IDEAS

    as
    1. Noorsufia Abd Shukor & Tahir Ahmad & Amidora Idris & Siti Rahmah Awang & Amirul Aizad Ahmad Fuad & Jia-Bao Liu, 2021. "Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, August.
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