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Minimizing the Size of Vertexlights in Simple Polygons

✍ Scribed by Andreas Spillner; Hans-Dietrich Hecker


Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
170 KB
Volume
48
Category
Article
ISSN
0044-3050

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✦ Synopsis


We show that given a simple Polygon P it is NP-hard to determine the smallest Ξ± ∈ [0, Ο€] such that P can be illuminated by Ξ±-vertexlights, if we place exactly one Ξ±vertexlight in each vertex of P .


πŸ“œ SIMILAR VOLUMES


Computing a single cell in the overlay o
✍ Mark de Berg; Olivier Devillers; Katrin Dobrindt; Otfried Schwarzkopf πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 485 KB

This note combines the lazy randomized incremental construction scheme with the technique of "connectivity acceleration" to obtain an 0( n( log\* n)\*) time randomized algorithm to compute a single face in the overlay of two simple polygons in the plane. @