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New Insights for Power Edge Set Problem

  • Benoit Darties
  • Annie Chateau
  • Rodolphe Giroudeau
  • Mathias Weller
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10627)

Abstract

We study the computational complexity of Power Edge Set (PES), for restricted graph classes with degree bounded by three (bipartite graph, Unit disk graphs and Grid graphs). This problem is devoted to the monitoring of an electric network. The aim is to minimize the number of edge-allocated PMUs in a network such that all vertices are monitored according to two spreading rules. We improve known complexity results using an L-reduction. We also derive some lowers bounds according to classic complexity hypothesis (\(\mathcal {P} \ne \mathcal {NP}\), \(\mathcal {UGC}\), \(\mathcal {ETH}\)).

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Benoit Darties
    • 1
  • Annie Chateau
    • 2
  • Rodolphe Giroudeau
    • 2
  • Mathias Weller
    • 2
  1. 1.Le2i FRE2005, CNRS, Arts et MétiersUniv. Bourgogne Franche-ComtéDijonFrance
  2. 2.LIRMM - CNRS UMR 5506MontpellierFrance

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