Double Metric Resolvability in Convex Polytopes

Muhammad Ahmad, Dalal Alrowaili, Rifaqat Ali, Zohaib Zahid, Imran Siddique and Andrea SemaniÄ ová-FeňovÄ Ã­ková

Journal of Mathematics, 2022, vol. 2022, 1-10

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5884924

DOI: 10.1155/2022/5884924

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