Skip to main content

Circuits and Sparse Sets

  • Chapter

Part of the book series: Progress in Theoretical Computer Science ((PTCS))

Abstract

Some of the concepts introduced in the previous chapters like Turing reducibility or the games between a Prover and a Verifier, can be interpreted as different ways to study the complexity of a problem supposing that one can get some external “help” or information. In the case of the Turing reducibility this external help is the information contained in an oracle set or function, while in the case of games between a Prover and a Verifier, the external information can be anything the Prover sends.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer Science+Business Media New York

About this chapter

Cite this chapter

Köbler, J., Schöning, U., Torán, J. (1993). Circuits and Sparse Sets. In: The Graph Isomorphism Problem. Progress in Theoretical Computer Science. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0333-9_5

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-0333-9_5

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6712-6

  • Online ISBN: 978-1-4612-0333-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics