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Reducing the clustering challenge in the IoT using two disjoint convex hulls

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  • Additional Information
    • Publication Date:
      2025
    • Collection:
      Erasmus University Rotterdam (EUR): Figshare
    • Abstract:
      Accurate clustering of IoT devices is a promising challenge. We have observed that a few studies have been performed to address this challenge. However, they are expensive or do not shape accurate clustering. To fill this gap, in this study, we first solve a geometric version of a big challenge in pure mathematics: the NP-hard "Almost [Formula: see text]" problem. Then, we solve it in a polynomial time. To clarify the concept, we present it as the "Two Disjoint Convex Hulls" challenge. We solve this challenge using two algorithms: the first is "Naive" and the second is faster than the "Naive" one can solve it in polynomial order, [Formula: see text]. In addition to providing a mathematical proof of our solution, we demonstrate its superior performance within an IoT industrial ecosystem.
    • Relation:
      https://figshare.com/articles/journal_contribution/Reducing_the_clustering_challenge_in_the_IoT_using_two_disjoint_convex_hulls/29888972
    • Accession Number:
      10.6084/m9.figshare.29888972.v1
    • Online Access:
      https://doi.org/10.6084/m9.figshare.29888972.v1
      https://figshare.com/articles/journal_contribution/Reducing_the_clustering_challenge_in_the_IoT_using_two_disjoint_convex_hulls/29888972
    • Rights:
      CC BY 4.0
    • Accession Number:
      edsbas.DEB0B342