Tangled Cord of FTTM4

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. Th...

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Bibliographic Details
Main Authors: Abd. Shukor, Noorsufia, Ahmad, Tahir, Abdullahi, Mujahid, Idris, Amidora, Awang, Siti Rahmah
Format: Article
Language:English
Published: MDPI 2023
Subjects:
Online Access:http://eprints.utm.my/105679/1/NoorsufiaAbdShukor2023_TangledCordofFTTM4.pdf
http://eprints.utm.my/105679/
http://dx.doi.org/10.3390/math11122613
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Institution: Universiti Teknologi Malaysia
Language: English
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Summary: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.