Skip to main content

An Extension of Complexity Bounds and Dynamic Heuristics for Tree-Decompositions of CSP

  • Conference paper
Principles and Practice of Constraint Programming - CP 2006 (CP 2006)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 4204))

Abstract

This paper deals with methods exploiting tree-decomposition approaches for solving constraint networks. We consider here the practical efficiency of these approaches by defining five classes of variable orders more and more dynamic which guarantee time complexity bounds from O(exp(w+1)) to O(exp(2(w+k))), with w the ”tree-width” of a CSP and k a constant. Finally, we assess practically their relevance.

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 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

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.

References

  1. Dechter, R., Pearl, J.: Tree-Clustering for Constraint Networks. Artificial Intelligence 38, 353–366 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  2. Gottlob, G., Leone, N., Scarcello, F.: A Comparison of Structural CSP Decomposition Methods. Artificial Intelligence 124, 243–282 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  3. Robertson, N., Seymour, P.D.: Graph minors II: Algorithmic aspects of tree-width. Algorithms 7, 309–322 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  4. Jégou, P., Ndiaye, S.N., Terrioux, C.: Computing and exploiting tree-decompositions for solving constraint networks. In: van Beek, P. (ed.) CP 2005. LNCS, vol. 3709, pp. 777–781. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  5. Jégou, P., Terrioux, C.: Hybrid backtracking bounded by tree-decomposition of constraint networks. Artificial Intelligence 146, 43–75 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  6. Gottlob, G., Hutle, M., Wotawa, F.: Combining hypertree, bicomp and hinge decomposition. In: Proceedings of ECAI, pp. 161–165 (2002)

    Google Scholar 

  7. Jégou, P., Ndiaye, S.N., Terrioux, C.: Strategies and heuristics for exploiting tree-decompositions of constraint networks. In: Proceedings of WIGSK (2006)

    Google Scholar 

  8. Smith, B.: The Phase Transition and the Mushy Region in Constraint Satisfaction Problems. In: Proceedings of ECAI, pp. 100–104 (1994)

    Google Scholar 

  9. Tarjan, R., Yannakakis, M.: Simple linear-time algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs. SIAM Journal on Computing 13 (3), 566–579 (1984)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Jégou, P., Ndiaye, S.N., Terrioux, C. (2006). An Extension of Complexity Bounds and Dynamic Heuristics for Tree-Decompositions of CSP. In: Benhamou, F. (eds) Principles and Practice of Constraint Programming - CP 2006. CP 2006. Lecture Notes in Computer Science, vol 4204. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11889205_62

Download citation

  • DOI: https://doi.org/10.1007/11889205_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46267-5

  • Online ISBN: 978-3-540-46268-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics