Coverage with k-Transmitters in the Presence of Obstacles

نویسندگان

  • Brad Ballinger
  • Nadia Benbernou
  • Prosenjit Bose
  • Mirela Damian
  • Erik D. Demaine
  • Vida Dujmovic
  • Robin Y. Flatland
  • Ferran Hurtado
  • John Iacono
  • Anna Lubiw
  • Pat Morin
  • Vera Sacristán Adinolfi
  • Diane L. Souvaine
  • Ryuhei Uehara
چکیده

For a fixed integer k ≥ 0, a k-transmitter is an omnidirectional wireless transmitter with an infinite broadcast range that is able to penetrate up to k “walls”, represented as line segments in the plane. We develop lower and upper bounds for the number of k-transmitters that are necessary and sufficient to cover a given collection of line segments, polygonal chains and polygons.

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Coverage with Transmitters in the Presence of Obstacles

For a fixed integer k ≥ 0, a k-transmitter is an omnidirectional wireless transmitter with an infinite broadcast range that is able to penetrate up to k “walls”, represented as line segments in the plane. We develop lower and upper bounds for the number of k-transmitters that are necessary, and sometimes sufficient, to cover a given collection of line segments, polygonal chains and polygons.

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تاریخ انتشار 2010