Skip to main content
Springer Nature Link
Log in

On the worst case of a minimal spanning tree algorithm for euclidean space

  • Part I Computer Science
  • Published:
BIT Numerical Mathematics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

This paper concerns the worst case running time of the minimal spanning tree algorithm presented by Bentley and Friedman.

For a set ofN points ink-dimensional Euclidean space the worst case performance of the algorithm is shown to beΘ(N 2 logN), fork≧2 andΘ(N 2), fork=1.

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

Access this article

Log in via an institution

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

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Jon Bentley and Jerome Friedman,Fast algorithms for constructing minimal spanning trees in coordinate spaces. IEEE Trans. on Computers. Vol. C-27, No. 2 (1978), 97–105.

    Google Scholar 

  2. Olli Nevalainen, Jarmo Ernvall and Jyrki Katajainen,Finding minimal spanning trees in a Euclidean coordinate space, BIT 21 (1981), 46–54.

    Article  Google Scholar 

  3. John Zolnowsky,Topics in Computational Geometry, Stanford University, Ph.D. (1978).

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical Sciences, University of Turku, SF-20500, Turku 50, Finland

    Jyrki Katajainen

Authors
  1. Jyrki Katajainen
    View author publications

    You can also search for this author inPubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Katajainen, J. On the worst case of a minimal spanning tree algorithm for euclidean space. BIT 23, 1–8 (1983). https://doi.org/10.1007/BF01937321

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01937321

Keywords