Skip to main content
SpringerLink
Log in

A proof of a consequence of Dirac's conjecture

  • Published:
Geometriae Dedicata Aims and scope Submit manuscript

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

Bibliography

  1. urton, G.R. and Purdy, G., ‘The Directions Determined byn Points in the Plane’,J. London Math. Soc. (to appear).

  2. Dirac, G.A., ‘Collinearity Properties of Sets of Points’,Quart. J. Math. 2, 221–227 (1951).

    Google Scholar 

  3. Dowling, T.A. and Wilson, R.M., ‘Whitney Number Inequalities for Geometric Lattices’,Proc. Am. Math. Soc. 47, 504–512 (1951).

    Google Scholar 

  4. Elliott, P.D.T.A., ‘On the Number of Circles Determined byn Points’,Acta Math. Acad. Sci. Hung. 18, 181–188 (1967).

    Google Scholar 

  5. Erdös, P., ‘Some Unsolved Problems’,Publ. Math. Inst. Hung. Acad. Sci. 6, 221–254 (1961).

    Google Scholar 

  6. Kelly, L.M. and Moser, W.O.J., ‘On the Number of Ordinary Lines Determined byn Points’,Can. J. Math. 10, 210–219 (1958).

    Google Scholar 

  7. Melchoir, E., ‘Über Vielseite der projectiven Ebene’,Deutsche Math. 5, 461–475 (1940).

    Google Scholar 

  8. Motzkin, T., ‘The Lines and Planes Connecting the Points of a Finite Set’,Trans. Am. Math. Soc. 70, 451–464 (1951).

    Google Scholar 

Download references

Author information

Author notes

  1. George Purdy

    Present address: Dept of Mathematics, Texas A&M University, 77843, College Station, Texas, USA

Authors and Affiliations

    Authors
    1. George Purdy
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    We wish to thank G.R. Burton for some helpful discussions.

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    Purdy, G. A proof of a consequence of Dirac's conjecture. Geom Dedicata 10, 317–321 (1981). https://doi.org/10.1007/BF01447430

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01447430

    Search

    Navigation