Illuminating Polygons with Vertex pi-Floodlights

  • Authors:
  • Csaba D. Tóth

  • Affiliations:
  • -

  • Venue:
  • ICCS '01 Proceedings of the International Conference on Computational Sciences-Part I
  • Year:
  • 2001

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Abstract

It is shown that any simple polygon with n vertices can be illuminated by at most 驴(3n - 5)/4驴 vertex 驴-floodlights. This improves the earlier bound n-2, whereas the best lower bound remains 3n/5+c.