Parameterized Approximation Problems

  • Rodney G. Downey
  • Michael R. Fellows
  • Catherine McCartin
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4169)


Up to now, most work in the area of parameterized complexity has focussed on exact algorithms for decision problems. The goal of this paper is to apply parameterized ideas to approximation. We begin exploration of parameterized approximation problems, where the problem in question is a parameterized decision problem, and the required approximation factor is treated as a second parameter for the problem.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Bazgan, C.: Schemas d’approximation et complexite parametree. Rapport de DEA, Universite Paris Sud (1995)Google Scholar
  2. 2.
    Cai, L., Huang, X.: Fixed parameter Approximation: Conceptual Framework and Approximability Results (manuscript)Google Scholar
  3. 3.
    Cesati, M., Trevisan, L.: On the efficiency of polynomial approximation schemes. Information Processing Letters 64(4), 165–171 (1997)CrossRefMathSciNetGoogle Scholar
  4. 4.
    Downey, R.G., Fellows, M.R.: Parameterized Complexity. Springer, Heidelberg (1999)Google Scholar
  5. 5.
    Downey, R.G., McCartin, C.: Online Problems, Pathwidth, and Persistence. In: Downey, R.G., Fellows, M.R., Dehne, F. (eds.) IWPEC 2004. LNCS, vol. 3162, pp. 13–24. Springer, Heidelberg (2004)CrossRefGoogle Scholar
  6. 6.
    Flum, J., Grohe, M.: The Parameterized Complexity of Counting Problems. SIAM Journal on Computing 33(4), 892–922 (2004)MATHCrossRefMathSciNetGoogle Scholar
  7. 7.
    Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-completeness. Freeman, New York (1979)MATHGoogle Scholar
  8. 8.
    McCartin, C.M.: Contributions to Parameterized Complexity Ph.D. Thesis, Victoria University, Wellington (2003)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Rodney G. Downey
    • 1
  • Michael R. Fellows
    • 2
  • Catherine McCartin
    • 3
  1. 1.Victoria UniversityWellingtonNew Zealand
  2. 2.The University of NewcastleCalaghanAustralia
  3. 3.Massey UniversityPalmerston NorthNew Zealand

Personalised recommendations