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# Hardness of Finding Independent Sets in 2-Colorable and Almost 2-Colorable Hypergraphs

@inproceedings{Khot2014HardnessOF, title={Hardness of Finding Independent Sets in 2-Colorable and Almost 2-Colorable Hypergraphs}, author={Subhash Khot and Rishi Saket}, booktitle={SODA}, year={2014} }

- Published 2014 in SODA
DOI:10.1137/1.9781611973402.117

This work studies the hardness of finding independent sets in hypergraphs which are either 2colorable or arealmost2-colorable, i.e. can be2-colored after removing a small fraction of vertices and the incident hyperedges. To be precise, say that a hyperg ra h is(1−ε)-almost2-colorable if removing anε fraction of its vertices and all hyperedges incident on them makes the remaining hypergraph 2-colorable. In particular we prove the following results. • For an arbitrarily small constant γ > 0… CONTINUE READING