Skip to main content
SpringerLink
Log in

A Radon theorem for Helly graphs

  • Published:
Archiv der Mathematik 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

References

  1. H.-J.Bandelt and H. M.Mulder, Helly theorems for dismantlable graphs and pseudo-modular graphs. Submitted.

  2. H.-J.Bandelt and E.Pesch, Dismantling absolute retracts of reflexive graphs. European J. Combin., to appear.

  3. V. D. Čepoj, Some properties of thed-convexity in triangulated graphs (in Russian). Mat. Issled.87, 164–177 (1986).

    Google Scholar 

  4. P.Duchet, Convex sets in graphs II: minimal path convexity. J. Combin. Theory Ser. B, to appear.

  5. J.Eckhoff, Radon's theorem revisited. In: Contributions to geometry, 164–185, Basel-Boston 1979.

    Chapter  Google Scholar 

  6. R. E. Jamison, Partition numbers for trees and ordered sets. Pacific J. Math.96, 115–140 (1981).

    Article  MathSciNet  Google Scholar 

  7. E. M. Jawhari, D. Misane andM. Pouzet, Retracts: graphs and ordered sets from the metric point of view. In: Combinatorics and ordered sets, Contemp. Math.57, 175–226 (Amer. Math. Soc., 1986).

    Article  MathSciNet  Google Scholar 

  8. R. Nowakowski andI. Rival, The smallest graph variety containing all paths. Discrete Math.43, 223–234 (1983).

    Article  MathSciNet  Google Scholar 

  9. E. Pesch, Minimal extensions of graphs to absolute retracts. J. Graph Theory11, 585–598 (1987).

    Article  MathSciNet  Google Scholar 

  10. A.Quilliot, Homomorphismes, points fixes, rétractions et jeux de poursuite dans les graphes, les ensembles ordonnés et les espaces métriques. Thèse de Doctorat d'Etat, Paris 1983.

  11. A. Quilliot, On the Helly property working as a compactness criterion on graphs. J. Combin. Theory Ser. A40, 186–193 (1985).

    Article  MathSciNet  Google Scholar 

  12. H. Tverberg, A generalisation of Radon's theorem. J. London Math. Soc.41, 123–128 (1966).

    Article  MathSciNet  Google Scholar 

  13. M. van de Vel, Finite dimensional convex structures II: the invariants. Topology Appl.16, 81–105 (1983).

    Article  MathSciNet  Google Scholar 

  14. M. van de Vel, Matching binary convexities. Topology Appl.16, 207–235 (1983).

    Article  MathSciNet  Google Scholar 

  15. M.van de Vel, Abstract, topological, and uniform convex structures. Rapportnr.325, Vrije Universiteit Amsterdam, Fac. W. enI, 1987.

Download references

Author information

Author notes

  1. H. -J. Bandelt

    Present address: Fakultät für Mathematik, Universität Bielefeld, D-4800, Bielefeld

  2. E. Pesch

    Present address: Institut für Betriebswirtschaftslehre (OR), Technische Hochschule Darmstadt, D-6100, Darmstadt

Authors and Affiliations

    Authors
    1. H. -J. Bandelt
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. E. Pesch
      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

    Bandelt, H.J., Pesch, E. A Radon theorem for Helly graphs. Arch. Math 52, 95–98 (1989). https://doi.org/10.1007/BF01197978

    Download citation

    • Received:

    • Published:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01197978

    Search

    Navigation