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Approximation Schemes for Independent Set and Sparse Subsets of Polygons

Approximation Schemes for Independent Set and Sparse Subsets of Polygons

We present a (1+ε)-approximation algorithm with quasi-polynomial running time for computing a maximum weight independent set of polygons from a given set of polygons in the plane. Contrasting this, the best-known polynomial time algorithm for the problem has an approximation ratio of n ε . Surprisingly, we can extend the …