Double Metric Resolvability in Convex Polytopes. (31st July 2022)

• Record Type: Journal Article
• Authors: Ahmad, Muhammad; Alrowaili, Dalal; Ali, Rifaqat; Zahid, Zohaib; Siddique, Imran
• Other Names: Semaničová-Feňovčíková Andrea Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2022(2022)
• Publication Date: 2022-07-31
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2022/5884924
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : 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.