Skip to main content

An algorithm for getting a minimum cut-set of a graph

  • Conference paper
  • First Online:
System Modelling and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 84))

  • 150 Accesses

Abstract

Let x and y be two nodes being not connected by an edge in an undirected connected non-complete graph. We present here an algorithm which finds a minimum cut-set of the graph by which x and y are separated.

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

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arany, I., Smyth, W. F. and Szóda, L., An improved method for reducing the bandwidth for sparse symmetric matrices, Proc. IFIP Congr. '71, North-Holland Publ. Co., Amsterdam, pp. 1246–1250 (1972).

    Google Scholar 

  2. Arany, I., An algorithm for finding all peripheral nodes, Bulletins for Applied Mathematics ed. Technical University of Budapest, 38, pp. 89–101 (1985).

    Google Scholar 

  3. Arany, I., Another algorithm for finding level structures with small width, W. P. MG/9., ed. Computer and Automation Institute, Hungarian Academy of Sciences, Budapest, (1985).

    Google Scholar 

  4. George, J. A. and Liu, J. W. H., Computer Solution of Large Sparse Positive Definite Systems, Prentice Hall Inc., Englewood Cliffs, New Jersey, (1981).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

A. Prékopa J. Szelezsáan B. Strazicky

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Springer-Verlag

About this paper

Cite this paper

Arany, I. (1986). An algorithm for getting a minimum cut-set of a graph. In: Prékopa, A., Szelezsáan, J., Strazicky, B. (eds) System Modelling and Optimization. Lecture Notes in Control and Information Sciences, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0043820

Download citation

  • DOI: https://doi.org/10.1007/BFb0043820

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16854-6

  • Online ISBN: 978-3-540-47138-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics