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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.
CitationBallinger, B. [et al.]. Coverage with k-transmitters in the presence of obstacles. A: Annual International Conference on Combinatorial Optimization and Applications. "4th Annual International Conference on Combinatorial Optimization and Applications". Hawaii: Springer Verlag, 2010, p. 1-15.
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