Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks
The distance centric parameter in the theory of networks called by metric dimension plays a vital role in encountering the distance-related problems for the monitoring of the large-scale networks in the various fields of chemistry and computer science such as navigation, image processing, pattern re...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/5/4/276 |
| _version_ | 1827672350667046912 |
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| author | Muhammad Javaid Muhammad Kamran Aslam Muhammad Imran Asjad Bander N. Almutairi Mustafa Inc Bandar Almohsen |
| author_facet | Muhammad Javaid Muhammad Kamran Aslam Muhammad Imran Asjad Bander N. Almutairi Mustafa Inc Bandar Almohsen |
| author_sort | Muhammad Javaid |
| collection | DOAJ |
| description | The distance centric parameter in the theory of networks called by metric dimension plays a vital role in encountering the distance-related problems for the monitoring of the large-scale networks in the various fields of chemistry and computer science such as navigation, image processing, pattern recognition, integer programming, optimal transportation models and drugs discovery. In particular, it is used to find the locations of robots with respect to shortest distance among the destinations, minimum consumption of time, lesser number of the utilized nodes, and to characterize the chemical compounds, having unique presentations in molecular networks. After the arrival of its weighted version, known as fractional metric dimension, the rectification of distance-related problems in the aforementioned fields has revived to a great extent. In this article, we compute fractional as well as local fractional metric dimensions of web-related networks called by subdivided QCL, 2-faced web, 3-faced web, and antiprism web networks. Moreover, we analyse their final results using 2D and 3D plots. |
| first_indexed | 2024-03-10T04:05:16Z |
| format | Article |
| id | doaj.art-5320443a63b8440b9488a5f4db0aaffa |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-10T04:05:16Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-5320443a63b8440b9488a5f4db0aaffa2023-11-23T08:24:42ZengMDPI AGFractal and Fractional2504-31102021-12-015427610.3390/fractalfract5040276Lower and Upper Bounds of Fractional Metric Dimension of Connected NetworksMuhammad Javaid0Muhammad Kamran Aslam1Muhammad Imran Asjad2Bander N. Almutairi3Mustafa Inc4Bandar Almohsen5Department of Mathematics, School of Science, University of Management and Technology, Lahore 54700, PakistanDepartment of Mathematics, School of Science, University of Management and Technology, Lahore 54700, PakistanDepartment of Mathematics, School of Science, University of Management and Technology, Lahore 54700, PakistanDepartment of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaDepartment of Computer Engineering, Biruni University, 34025 Istanbul, TurkeyDepartment of Mathematics, College of Science, King Saud University, Riyadh 11451, Saudi ArabiaThe distance centric parameter in the theory of networks called by metric dimension plays a vital role in encountering the distance-related problems for the monitoring of the large-scale networks in the various fields of chemistry and computer science such as navigation, image processing, pattern recognition, integer programming, optimal transportation models and drugs discovery. In particular, it is used to find the locations of robots with respect to shortest distance among the destinations, minimum consumption of time, lesser number of the utilized nodes, and to characterize the chemical compounds, having unique presentations in molecular networks. After the arrival of its weighted version, known as fractional metric dimension, the rectification of distance-related problems in the aforementioned fields has revived to a great extent. In this article, we compute fractional as well as local fractional metric dimensions of web-related networks called by subdivided QCL, 2-faced web, 3-faced web, and antiprism web networks. Moreover, we analyse their final results using 2D and 3D plots.https://www.mdpi.com/2504-3110/5/4/276fractional metric dimensionweb-related networksresolving neighbourhoods |
| spellingShingle | Muhammad Javaid Muhammad Kamran Aslam Muhammad Imran Asjad Bander N. Almutairi Mustafa Inc Bandar Almohsen Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks Fractal and Fractional fractional metric dimension web-related networks resolving neighbourhoods |
| title | Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks |
| title_full | Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks |
| title_fullStr | Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks |
| title_full_unstemmed | Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks |
| title_short | Lower and Upper Bounds of Fractional Metric Dimension of Connected Networks |
| title_sort | lower and upper bounds of fractional metric dimension of connected networks |
| topic | fractional metric dimension web-related networks resolving neighbourhoods |
| url | https://www.mdpi.com/2504-3110/5/4/276 |
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