Skip to main content

Clique, Independent Set, and Vertex Cover

  • Chapter
Algorithms on Trees and Graphs

Abstract

Finding complete subgraphs of an undirected graph is another fundamental problem with a variety of interesting applications in diverse scientific and engineering disciplines. Clique algorithms also find application in the comparison of structures described by trees or graphs and, as a matter of fact, finding maximal and maximum cliques is the basis of the algorithms discussed in Chap. 7 for finding maximal and maximum common subgraph isomorphisms between two graphs.

If you really need to find the largest clique in a graph, an exhaustive search via backtracking provides the only real solution.

—Steven S. Skiena [304]

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 59.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 74.99
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

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

© 2002 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Valiente, G. (2002). Clique, Independent Set, and Vertex Cover. In: Algorithms on Trees and Graphs. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04921-1_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-04921-1_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07809-5

  • Online ISBN: 978-3-662-04921-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics