, Volume 77, Issue 2, pp 555–594

Improved Approximation Algorithms for Projection Games


DOI: 10.1007/s00453-015-0088-5

Cite this article as:
Manurangsi, P. & Moshkovitz, D. Algorithmica (2017) 77: 555. doi:10.1007/s00453-015-0088-5


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.


Label Cover Projection games Approximation algorithms 

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.University of CaliforniaBerkeleyUSA
  2. 2.Massachusetts Institute of TechnologyCambridgeUSA

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