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Double Metric Resolvability in Convex Polytopes

Author

Listed:
  • Muhammad Ahmad
  • Dalal Alrowaili
  • Rifaqat Ali
  • Zohaib Zahid
  • Imran Siddique
  • Andrea SemaniÄ ová-FeňovÄ Ã­ková

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.

Suggested Citation

  • Muhammad Ahmad & Dalal Alrowaili & Rifaqat Ali & Zohaib Zahid & Imran Siddique & Andrea SemaniÄ ová-FeňovÄ Ã­ková, 2022. "Double Metric Resolvability in Convex Polytopes," Journal of Mathematics, Hindawi, vol. 2022, pages 1-10, July.
    • Handle: RePEc:hin:jjmath:5884924
    DOI: 10.1155/2022/5884924
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