Double Metric Resolvability in Convex Polytopes
Nowadays, the study of source localization in complex networks is a critical issue. Localization of the source has been investigated using a variety of feasible models. To identify the source of a network’s diffusion, it is necessary to find a vertex from which the observed diffusion spreads. Detect...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/5884924 |
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| _version_ | 1849683879700463616 |
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| author | Muhammad Ahmad Dalal Alrowaili Rifaqat Ali Zohaib Zahid Imran Siddique |
| author_facet | Muhammad Ahmad Dalal Alrowaili Rifaqat Ali Zohaib Zahid Imran Siddique |
| author_sort | Muhammad Ahmad |
| collection | DOAJ |
| description | Nowadays, the study of source localization in complex networks is a critical issue. Localization of the source has been investigated using a variety of feasible models. To identify the source of a network’s diffusion, it is necessary to find a vertex from which the observed diffusion spreads. Detecting the source of a virus in a network is equivalent to finding the minimal doubly resolving set (MDRS) in a network. This paper calculates the doubly resolving sets (DRSs) for certain convex polytope structures to calculate their double metric dimension (DMD). It is concluded that the cardinality of MDRSs for these convex polytopes is finite and constant. |
| format | Article |
| id | doaj-art-d63f0f3517eb442e9f4576bda5d92ad8 |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-d63f0f3517eb442e9f4576bda5d92ad82025-08-20T03:23:39ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/5884924Double Metric Resolvability in Convex PolytopesMuhammad Ahmad0Dalal Alrowaili1Rifaqat Ali2Zohaib Zahid3Imran Siddique4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsNowadays, the study of source localization in complex networks is a critical issue. Localization of the source has been investigated using a variety of feasible models. To identify the source of a network’s diffusion, it is necessary to find a vertex from which the observed diffusion spreads. Detecting the source of a virus in a network is equivalent to finding the minimal doubly resolving set (MDRS) in a network. This paper calculates the doubly resolving sets (DRSs) for certain convex polytope structures to calculate their double metric dimension (DMD). It is concluded that the cardinality of MDRSs for these convex polytopes is finite and constant.http://dx.doi.org/10.1155/2022/5884924 |
| spellingShingle | Muhammad Ahmad Dalal Alrowaili Rifaqat Ali Zohaib Zahid Imran Siddique Double Metric Resolvability in Convex Polytopes Journal of Mathematics |
| title | Double Metric Resolvability in Convex Polytopes |
| title_full | Double Metric Resolvability in Convex Polytopes |
| title_fullStr | Double Metric Resolvability in Convex Polytopes |
| title_full_unstemmed | Double Metric Resolvability in Convex Polytopes |
| title_short | Double Metric Resolvability in Convex Polytopes |
| title_sort | double metric resolvability in convex polytopes |
| url | http://dx.doi.org/10.1155/2022/5884924 |
| work_keys_str_mv | AT muhammadahmad doublemetricresolvabilityinconvexpolytopes AT dalalalrowaili doublemetricresolvabilityinconvexpolytopes AT rifaqatali doublemetricresolvabilityinconvexpolytopes AT zohaibzahid doublemetricresolvabilityinconvexpolytopes AT imransiddique doublemetricresolvabilityinconvexpolytopes |