English

Improved Approximation Algorithms for Projection Games

Data Structures and Algorithms 2015-11-17 v2

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, Hajiaghayi and Karloff. 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.

Keywords

Cite

@article{arxiv.1408.4048,
  title  = {Improved Approximation Algorithms for Projection Games},
  author = {Pasin Manurangsi and Dana Moshkovitz},
  journal= {arXiv preprint arXiv:1408.4048},
  year   = {2015}
}

Comments

41 pages, 2 figure

R2 v1 2026-06-22T05:32:16.078Z