Skip to main content

An associative version of the Prim-Dijkstra algorithm and its application to some graph problems

  • Conference paper
  • First Online:
Perspectives of System Informatics (PSI 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1181))

Abstract

In this paper by means of an abstract model (the STAR-machine) we study a group of associative algorithms for undirected weighted graphs. These algorithms are based on the Prim-Dijkstra algorithm. They are written as the corresponding STAR procedures whose correctness is proved and time complexity is evaluated.

This work was supported in part by the Russian Foundation for Basic Research under Grant N 96-01-01704

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. K. E. Grosspietsch, Associative Processors and Memories: A Survey, in: IEEE, Micro (June, 1992) 12–19.

    Google Scholar 

  2. Y. I. Fet, Vertical Processing Systems: A Survey, in: IEEE, Micro (February, 1995) 65–75.

    Google Scholar 

  3. J. L. Potter, Associative Computing: A Programming Paradigm for Massively Parallel Computers (Kent State University, Plenum Press, New York and London, 1992).

    Google Scholar 

  4. A. S. Nepomniaschaya, Comparison of two MST Algorithms for Associative Parallel Processors, in: Proc. of the 3-d Intern. Conf. ”Parallel Computing Technologies”, PaCT-95, (St. Petersburg, Russia), Lecture Notes in Computer Science, 964, (1995) 85–93.

    Google Scholar 

  5. B. Otrubova, O. Sykora, Orthogonal Computer and its Application to Some Graph Problems, in: Parcella'86, (Berlin, Academie Verlag, 1986) 259–266.

    Google Scholar 

  6. C. Fernstrom, J. Kruzela, B. Svensson, LUCAS Associative Array Processor. Design, Programming and Application Studies, in: Lecture Notes in Computer Science, 216, (Berlin: Springer-Verlag, 1986).

    Google Scholar 

  7. J. Potter, J. Baker, A. Bansal, S.Scott, C. Leangsuksun, C. Asthagiri, ASC — An Associative Computing Paradigm, in: Computer: Special Issue on Associative Processing, 27, No. 11, (1994) 19–24.

    Google Scholar 

  8. A. S. Nepomniaschaya, Language STAR for Associative and Parallel Computation with Vertical Data Processing, in: Proc. of the Intern. Conf. ”Parallel Computing Technologies”, (Novosibirsk, USSR, 1991) 258–265.

    Google Scholar 

  9. R. C. Prim, Shortest Connection Networks and Some Generalizations, in: Bell System Tech. J., 36, (1957) 1389–1401.

    Google Scholar 

  10. E. W. Dijkstra, A Note on Two Problems in Connection with Graphs, in: Numerische Math., 1, (1959) 269–271.

    Google Scholar 

  11. A.D.Falkoff, Algorithms for parallel-search memories, in: J. of the ACM, 9, No. 10, (1962), 488–510.

    Google Scholar 

  12. C. C. Foster, Content Addressable Parallel Processors (Van Nostrand Reinhold Company, New York, 1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Dines Bjørner Manfred Broy Igor V. Pottosin

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Nepomniaschaya, A.S. (1996). An associative version of the Prim-Dijkstra algorithm and its application to some graph problems. In: Bjørner, D., Broy, M., Pottosin, I.V. (eds) Perspectives of System Informatics. PSI 1996. Lecture Notes in Computer Science, vol 1181. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62064-8_18

Download citation

  • DOI: https://doi.org/10.1007/3-540-62064-8_18

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62064-8

  • Online ISBN: 978-3-540-49637-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics