Vertex cover might be hard to approximate to within 2-ε

  • Authors:
  • Subhash Khot;Oded Regev

  • Affiliations:
  • Department of Computer Science, Princeton University, Princeton, NJ 08544, USA;Department of Computer Science, Tel-Aviv University, Tel-Aviv 69978, Israel

  • Venue:
  • Journal of Computer and System Sciences
  • Year:
  • 2008

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Abstract

Based on a conjecture regarding the power of unique 2-prover-1-round games presented in [S. Khot, On the power of unique 2-Prover 1-Round games, in: Proc. 34th ACM Symp. on Theory of Computing, STOC, May 2002, pp. 767-775], we show that vertex cover is hard to approximate within any constant factor better than 2. We actually show a stronger result, namely, based on the same conjecture, vertex cover on k-uniform hypergraphs is hard to approximate within any constant factor better than k.