• DocumentCode
    1683605
  • Title

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

  • Author

    Khot, Subhash ; Regev, Oded

  • Author_Institution
    Dept. of Comput. Sci., Princeton Univ., NJ, USA
  • fYear
    2003
  • Firstpage
    379
  • Lastpage
    386
  • Abstract
    Based on a conjecture regarding the power of unique 2-prover-1-round games presented in [S. Khot, (2002)], 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.
  • Keywords
    approximation theory; computational complexity; game theory; graph theory; probability; set theory; theorem proving; 2-prover-1-round game; NP-hard problem; constant factor approximation; k-uniform hypergraph; vertex cover hardness; Approximation algorithms; Artificial intelligence; Bismuth; Computational complexity; Linear programming;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Computational Complexity, 2003. Proceedings. 18th IEEE Annual Conference on
  • ISSN
    1093-0159
  • Print_ISBN
    0-7695-1879-6
  • Type

    conf

  • DOI
    10.1109/CCC.2003.1214437
  • Filename
    1214437