Improved Approximation Algorithms for Projection Games
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Author(s)
Manurangsi, Pasin
Moshkovitz Aaronson, Dana Hadar
Date Issued
November 2015
Journal
Algorithmica
Publisher
Springer US
Citation
Manurangsi, Pasin, and Dana Moshkovitz. “Improved Approximation Algorithms for Projection Games.” Algorithmica 77, no. 2 (November 4, 2015): 555–594.
Version
Author's final manuscript
Abstract
The projection games (aka Label Cover) problem is of great importance to the field of approximation algorithms, since most of the NP-hardness of approximation results we know today are reductions from Label Cover. In this paper we design several approximation algorithms for projection games: (1) A polynomial-time approximation algorithm that improves on the previous best approximation by Charikar et al. (Algorithmica 61(1):190–206, 2011). (2) A sub-exponential time algorithm with much tighter approximation for the case of smooth projection games. (3) A polynomial-time approximation scheme (PTAS) for projection games on planar graphs and a tight running time lower bound for such approximation schemes. The conference version of this paper had only the PTAS but not the running time lower bound.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Department of Mathematics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00453-015-0088-5
