# On Covering Problems of Rado

@article{Bereg2009OnCP, title={On Covering Problems of Rado}, author={Sergey Bereg and Adrian Dumitrescu and Minghui Jiang}, journal={Algorithmica}, year={2009}, volume={57}, pages={538-561} }

T. Rado conjectured in 1928 that if ℱ is a finite set of axis-parallel squares in the plane, then there exists an independent subset ℐ⊆ℱ of pairwise disjoint squares, such that ℐ covers at least 1/4 of the area covered by ℱ. He also showed that the greedy algorithm (repeatedly choose the largest square disjoint from those previously selected) finds an independent set of area at least 1/9 of the area covered by ℱ. The analogous question for other shapes and many similar problems have been… Expand

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