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- Title
Approximation Algorithms for Maximum Independent Set of Pseudo-Disks.
- Authors
Chan, Timothy; Har-Peled, Sariel
- Abstract
We present approximation algorithms for maximum independent set of pseudo-disks in the plane, both in the weighted and unweighted cases. For the unweighted case, we prove that a local-search algorithm yields a PTAS. For the weighted case, we suggest a novel rounding scheme based on an LP relaxation of the problem, which leads to a constant-factor approximation. Most previous algorithms for maximum independent set (in geometric settings) relied on packing arguments that are not applicable in this case. As such, the analysis of both algorithms requires some new combinatorial ideas, which we believe to be of independent interest.
- Subjects
APPROXIMATION algorithms; HEURISTIC algorithms; ALGEBRA; FRECHET spaces; VECTOR topology
- Publication
Discrete & Computational Geometry, 2012, Vol 48, Issue 2, p373
- ISSN
0179-5376
- Publication type
Article
- DOI
10.1007/s00454-012-9417-5