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Optimally Decomposing Coverings with Translates of a Convex Polygon
Authors:Matt Gibson  Kasturi Varadarajan
Institution:(1) Institute of Applied Mathematics, Chinese Academy of Science, Beijing, China;(2) Department of Computer Science, Memorial University of Newfoundland, St. Johnrsquos, Newfoundland, A1B 3X5, Canada
Abstract:We show that any k-fold covering using translates of an arbitrary convex polygon can be decomposed into Ω(k) covers. Such a decomposition can be computed using an efficient (polynomial-time) algorithm.
Keywords:
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