Abd. Shukor, Noorsufia and Ahmad, Tahir and Abdullahi, Mujahid and Idris, Amidora and Awang, Siti Rahmah
(2023)
*Tangled Cord of FTTM4.*
Mathematics, 11
(12).
pp. 1-25.
ISSN 2227-7390

PDF
850kB |

Official URL: http://dx.doi.org/10.3390/math11122613

## 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 (Formula presented.), 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 (Formula presented.) 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 (Formula presented.) 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.

Item Type: | Article |
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Uncontrolled Keywords: | assembly graph, fuzzy topographic topological mapping, Hamiltonian path, tangled cord |

Subjects: | Q Science > QA Mathematics |

Divisions: | Science |

ID Code: | 105679 |

Deposited By: | Yanti Mohd Shah |

Deposited On: | 15 May 2024 06:41 |

Last Modified: | 15 May 2024 06:41 |

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