Largest Inscribed Rectangles in Convex Polygons ( Extended Abstract ) ∗
نویسندگان
چکیده
We consider approximation algorithms for the problem of computing an inscribed rectangle having largest area in a convex polygon on n vertices. If the order of the vertices of the polygon is given, we present a deterministic approximation algorithm that computes an inscribed rectangle of area at least 1− times the optimum in running time O( 1 log 1 log n). Furthermore, a randomized approximation algorithm is given that works with high probability and achieves a running time of O( 1 log n).
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تاریخ انتشار 2010