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arXiv · 2101.00326

Approximating Maximum Independent Set for Rectangles in the Plane

Joseph S. B. Mitchell
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Abstract

We give a polynomial-time constant-factor approximation algorithm for maximum independent set for (axis-aligned) rectangles in the plane. Using a polynomial-time algorithm, the best approximation factor previously known is $O(\log\log n)$. The results are based on a new form of recursive partitioning in the plane, in which faces that are constant-complexity and orthogonally convex are recursively partitioned into a constant number of such faces.

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Joseph S. B. Mitchell. 2021-01-01. Approximating Maximum Independent Set for Rectangles in the Plane. https://arxiv.org/abs/2101.00326

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