Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence
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 pro...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/7519643 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832566443836702720 |
|---|---|
| author | Noorsufia Abd Shukor Tahir Ahmad Amidora Idris Siti Rahmah Awang Amirul Aizad Ahmad Fuad |
| author_facet | Noorsufia Abd Shukor Tahir Ahmad Amidora Idris Siti Rahmah Awang Amirul Aizad Ahmad Fuad |
| author_sort | Noorsufia Abd Shukor |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dba1a4f2132c452c95efb3b33bcae83f |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-dba1a4f2132c452c95efb3b33bcae83f2025-02-03T01:04:18ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/75196437519643Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci SequenceNoorsufia Abd Shukor0Tahir Ahmad1Amidora Idris2Siti Rahmah Awang3Amirul Aizad Ahmad Fuad4Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru 81310, MalaysiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru 81310, MalaysiaDepartment of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, Johor Bahru 81310, MalaysiaAzman Hashim International Business School, Universiti Teknologi Malaysia, Johor Bahru 81310, MalaysiaDepartment of Mathematics, Xiamen University Malaysia, Jalan Sunsuria, Bandar Sunsuria 43900, Selangor, MalaysiaA 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.http://dx.doi.org/10.1155/2021/7519643 |
| spellingShingle | Noorsufia Abd Shukor Tahir Ahmad Amidora Idris Siti Rahmah Awang Amirul Aizad Ahmad Fuad Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence Journal of Mathematics |
| title | Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence |
| title_full | Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence |
| title_fullStr | Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence |
| title_full_unstemmed | Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence |
| title_short | Graph of Fuzzy Topographic Topological Mapping in relation to k-Fibonacci Sequence |
| title_sort | graph of fuzzy topographic topological mapping in relation to k fibonacci sequence |
| url | http://dx.doi.org/10.1155/2021/7519643 |
| work_keys_str_mv | AT noorsufiaabdshukor graphoffuzzytopographictopologicalmappinginrelationtokfibonaccisequence AT tahirahmad graphoffuzzytopographictopologicalmappinginrelationtokfibonaccisequence AT amidoraidris graphoffuzzytopographictopologicalmappinginrelationtokfibonaccisequence AT sitirahmahawang graphoffuzzytopographictopologicalmappinginrelationtokfibonaccisequence AT amirulaizadahmadfuad graphoffuzzytopographictopologicalmappinginrelationtokfibonaccisequence |