Skip to main content

Approximation Algorithms for Finding a Maximum-Weight Spanning Connected Subgraph with given Vertex Degrees

  • Conference paper

Part of the book series: Operations Research Proceedings ((ORP,volume 2004))

Abstract

In the paper a problem of finding a maximum-weight spanning connected subgraph with given vertex degrees is considered. The problem is MAX SNP-hard, because it is a generalization of a well-known Traveling Salesman Problem. Approximation algorithms are constructed for deterministic and random instances. Performance bounds of these algorithms are presented.

This research was supported by the Russian Foundation for Basic Research (grant 02-01-01153), program of supporting of leading science schools of Russia (project “Nauchnaya Shkola - 313.2003.1”), and INTAS (grant 00-217)

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   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R. G. Busacker, T. L. Saaty: Finite Graphs and Networks: an Introduction with Applications, McGraw Hill, New York (1965).

    Google Scholar 

  2. J. Edmonds, E. L. Johnson: Matchings: a well solvable class of integer linear programs, Combinatorial Structures and their Applications, Gordon and Breach, New York (1970), 89–92.

    Google Scholar 

  3. H. N. Gabow: An efficient reduction technique for degree-constrained subgraph and bidirected network flow problems, Proceedings of the 15th annual ACM symposium on theory of computing, Boston, Apr. 25–27, ACM, New York (1983), 448–456.

    Google Scholar 

  4. E. Kh. Gimadi, A. I. Serdukov: A problem of finding the maximal spanning connected subgraph with given vertex degrees, Oper. Res. Proc. 2000, Springer Verlag (2001), 55–59.

    Google Scholar 

  5. E. Kh. Gimadi, N. I. Glebov, V. A. Perepelitsa: Algorithms with estimates for discrete optimization problems, Problemy Kibernetiki, Nauka, Moskva, vol.31 (1976), 35–42, in Russian.

    Google Scholar 

  6. F. Harary: Graph Theory, Addison-Wesley, Reading, Massachusetts (1969).

    Google Scholar 

  7. V. Havel: A note to question of existance of finite graphs, Casopis Pest Mat., 80 (1955), 477–480.

    MATH  MathSciNet  Google Scholar 

  8. V. V. Petrov: Limit Theorems of Probability Theory. Oxford Univ. Press (1995).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Baburin, A.E., Gimadi, E.K. (2005). Approximation Algorithms for Finding a Maximum-Weight Spanning Connected Subgraph with given Vertex Degrees. In: Fleuren, H., den Hertog, D., Kort, P. (eds) Operations Research Proceedings 2004. Operations Research Proceedings, vol 2004. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27679-3_43

Download citation

Publish with us

Policies and ethics