Local Fractional Strong Metric Dimension of Certain Complex Networks
Fractional variants of distance-based parameters have application in the fields of sensor networking, robot navigation, and integer programming problems. Complex networks are exceptional networks which exhibit significant topological features and have become quintessential research area in the field...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi-Wiley
2023-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2023/3635342 |
| _version_ | 1797828257219870720 |
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| author | Faiza Jamil Agha Kashif Sohail Zafar Michael Onyango Ojiema |
| author_facet | Faiza Jamil Agha Kashif Sohail Zafar Michael Onyango Ojiema |
| author_sort | Faiza Jamil |
| collection | DOAJ |
| description | Fractional variants of distance-based parameters have application in the fields of sensor networking, robot navigation, and integer programming problems. Complex networks are exceptional networks which exhibit significant topological features and have become quintessential research area in the field of computer science, biology, and mathematics. Owing to the possibility that many real-world systems can be intelligently modeled and represented as complex networks to examine, administer and comprehend the useful information from these real-world networks. In this paper, local fractional strong metric dimension of certain complex networks is computed. Building blocks of complex networks are considered as the symmetric networks such as cyclic networks Cn, circulant networks Cn1,2, mobious ladder networks M2n, and generalized prism networks Gmn. In this regard, it is shown that LSFMD of Cnn≥3 and Gmnn≥6 is 1 when n is even and n/n−1 when n is odd, whereas LSFMD of M2n is 1 when n is odd and n/n−1 when n is even. Also, LSFMD of Cn1,2 is n/2⌈m+1/2⌉ where n≥6 and m=⌈n−5/4⌉. |
| first_indexed | 2024-04-09T13:02:01Z |
| format | Article |
| id | doaj.art-db4b7eed33e04487862201a4b373cb80 |
| institution | Directory Open Access Journal |
| issn | 1099-0526 |
| language | English |
| last_indexed | 2024-04-09T13:02:01Z |
| publishDate | 2023-01-01 |
| publisher | Hindawi-Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj.art-db4b7eed33e04487862201a4b373cb802023-05-13T00:00:12ZengHindawi-WileyComplexity1099-05262023-01-01202310.1155/2023/3635342Local Fractional Strong Metric Dimension of Certain Complex NetworksFaiza Jamil0Agha Kashif1Sohail Zafar2Michael Onyango Ojiema3University of Management and Technology (UMT)University of Management and Technology (UMT)University of Management and Technology (UMT)Masinde Muliro University of Science and TechnologyFractional variants of distance-based parameters have application in the fields of sensor networking, robot navigation, and integer programming problems. Complex networks are exceptional networks which exhibit significant topological features and have become quintessential research area in the field of computer science, biology, and mathematics. Owing to the possibility that many real-world systems can be intelligently modeled and represented as complex networks to examine, administer and comprehend the useful information from these real-world networks. In this paper, local fractional strong metric dimension of certain complex networks is computed. Building blocks of complex networks are considered as the symmetric networks such as cyclic networks Cn, circulant networks Cn1,2, mobious ladder networks M2n, and generalized prism networks Gmn. In this regard, it is shown that LSFMD of Cnn≥3 and Gmnn≥6 is 1 when n is even and n/n−1 when n is odd, whereas LSFMD of M2n is 1 when n is odd and n/n−1 when n is even. Also, LSFMD of Cn1,2 is n/2⌈m+1/2⌉ where n≥6 and m=⌈n−5/4⌉.http://dx.doi.org/10.1155/2023/3635342 |
| spellingShingle | Faiza Jamil Agha Kashif Sohail Zafar Michael Onyango Ojiema Local Fractional Strong Metric Dimension of Certain Complex Networks Complexity |
| title | Local Fractional Strong Metric Dimension of Certain Complex Networks |
| title_full | Local Fractional Strong Metric Dimension of Certain Complex Networks |
| title_fullStr | Local Fractional Strong Metric Dimension of Certain Complex Networks |
| title_full_unstemmed | Local Fractional Strong Metric Dimension of Certain Complex Networks |
| title_short | Local Fractional Strong Metric Dimension of Certain Complex Networks |
| title_sort | local fractional strong metric dimension of certain complex networks |
| url | http://dx.doi.org/10.1155/2023/3635342 |
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