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arxiv: 1512.01699 · v1 · pith:JMENGC65new · submitted 2015-12-05 · 💻 cs.CG

A Note on Approximating 2-Transmitters

classification 💻 cs.CG
keywords orthogonalk-transmitterlinepointpolygonsegmenttransmittersalgorithm
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A k-transmitter in a simple orthogonal polygon P is a mobile guard that travels back and forth along an orthogonal line segment s inside P. The k-transmitter can see a point p in P if there exists a point q on s such that the line segment pq is normal to s and pq intersects the boundary of P in at most k points. In this paper, we give a 2-approximation algorithm for the problem of guarding a monotone orthogonal polygon with the minimum number of 2-transmitters.

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