Skip to main content
SpringerLink
Log in

On optimal matchings

  • Published:
Combinatorica Aims and scope Submit manuscript

Abstract

Givenn random red points on the unit square, the transportation cost between them is tipically √n logn.

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

Access this article

Log in via an institution

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. L. R. Ford, Jr. andD. R. Fulkerson, A simple algorithm for finding maximal network flows and an application to the Hitchcock problem.Canad. J. Math. 9 (1957), 210–218.

    MATH  MathSciNet  Google Scholar 

  2. R. Karp, Private communication (1982).

  3. J. Komlós, P. Major andG. Tusnády, An approximation of partial sums of independent RV’s, and the sample DF.I. Z. Wahrscheinlichkeitstheorie verw. Gebiete 32 (1975), 111–131.

    Article  MATH  Google Scholar 

  4. G. Schay, Nearest random variables with given distributions.Ann. of Probab. 2 (1974), 163–166.

    MATH  MathSciNet  Google Scholar 

  5. G. Tusnády, A remark on the approximation of the sample DF in the multidimensional case.Periodica Mathematica Hungarica 8 (1977), 53–55.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematical Institute of the, Hungarian Academy of Sciences, P.O.B. 127, 1364, Budapest, Hungary

    M. Ajtai, J. Komlós & G. Tusnády

Authors
  1. M. Ajtai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Komlós
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. Tusnády
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ajtai, M., Komlós, J. & Tusnády, G. On optimal matchings. Combinatorica 4, 259–264 (1984). https://doi.org/10.1007/BF02579135

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02579135

AMS subject classification (1980)

Search

Navigation