Experimental Results on Upper Bounds for Vertex Pi-Lights

نویسندگان

  • Victoria Brumberg
  • Suneeta Ramaswami
  • Diane Souvaine
چکیده

The problem of illuminating a simple n-gon with cn, c < 1 πlights is open, whereas a lower bound of ⌊ 3 5 n⌋ is known. We provide an algorithm for placing π-lights, and experimental results that support the conjecture that ⌊ 3 5 n⌋ lights are also sufficient. We also prove that ⌊ 5 6 n⌋ π-lights suffice if some may be outward facing.

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تاریخ انتشار 2001