Skip to main content

Provable Intractability: The Class XP

  • Chapter
Fundamentals of Parameterized Complexity

Part of the book series: Texts in Computer Science ((TCS))

Abstract

We look at the X-classes, and give analogues of exponential time, namely the class XP. We report on how FPT is provably (unconditionally) a proper subset of XP. We also prove an XP-completeness result.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. A. Adachi, S. Iwata, T. Kasai, Classes of pebble games and complete problems. SIAM J. Comput. 8(4), 576–586 (1979)

    MathSciNet  Google Scholar 

  2. A. Adachi, S. Iwata, T. Kasai, Some combinatorial game problems require Ω(n k) time. J. ACM 31(2), 361–376 (1984)

    MathSciNet  MATH  Google Scholar 

  3. R. Downey, M. Fellows, Parameterized Complexity. Monographs in Computer Science (Springer, Berlin, 1999)

    Book  Google Scholar 

  4. L. Stockmeyer, A. Chandra, Provably difficult combinatorial games. SIAM J. Comput. 8(2), 151–174 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  5. L. Stockmeyer, D. Kozen, A. Chandra, Alternation. J. ACM 28, 114–133 (1981)

    MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag London

About this chapter

Cite this chapter

Downey, R.G., Fellows, M.R. (2013). Provable Intractability: The Class XP. In: Fundamentals of Parameterized Complexity. Texts in Computer Science. Springer, London. https://doi.org/10.1007/978-1-4471-5559-1_27

Download citation

  • DOI: https://doi.org/10.1007/978-1-4471-5559-1_27

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-4471-5558-4

  • Online ISBN: 978-1-4471-5559-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics