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Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence

Author

Listed:
  • Noorsufia Abd Shukor
  • Tahir Ahmad
  • Amidora Idris
  • Siti Rahmah Awang
  • Amirul Aizad Ahmad Fuad
  • Jia-Bao Liu

Abstract

A generated n-sequence of fuzzy topographic topological mapping, FTTMn, is a combination of n number of FTTM’s graphs. An assembly graph is a graph whereby its vertices have valency of one or four. A Hamiltonian path is a path that visits every vertex of the graph exactly once. In this paper, we prove that assembly graphs exist in FTTMn and establish their relations to the Hamiltonian polygonal paths. Finally, the relation between the Hamiltonian polygonal paths induced from FTTMn to the k-Fibonacci sequence is established and their upper and lower bounds’ number of paths is determined.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jjmath:7519643
    DOI: 10.1155/2021/7519643
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    Cited by:

    1. 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.

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