## Sariel Har-Peled, Quasi-Polynomial Time Approximation Scheme for Sparse Subsets of Polygons

Quasi-Polynomial Time Approximation Scheme for Sparse Subsets of Polygons
2014/06/02 Monday 4PM-5PM
Room 1409
We describe how to approximate, in quasi-polynomial time, the largest independent set of polygons, in a given set of polygons. Our algorithm works by extending the result of Adamaszek and Wiese [AW13, AW14] to polygons of arbitrary complexity. Surprisingly, the algorithm also works for computing the largest subset of the given set of polygons that has some sparsity condition. For example, we show that one can approximate the largest subset of polygons, such that the intersection graph of the subset does not contain a cycle of length 4 (i.e., K2,2). To appear in SoCG 2014.