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On countable homogeneous 3-hypergraphs

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Summary

We present some results on countable homogeneous 3-hypergraphs. In particular, we show that there is no unexpected homogeneous 3-hypergraph determined by a single constraint.

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References

  1. Cherlin, G.: Homogeneous directed graphs: The imprimitive case. In: The Paris Logic Group (ed) Logic Colloquium '85, pp. 67–88. Amsterdam: Elsevier (North-Holland) 1987

    Google Scholar 

  2. Fraïssé, R.: Sur l'extension aux relations de quelques propriétés des ordres. Ann. Sci. Ecole Norm. Supp. (3)71, 363–388 (1954)

    Google Scholar 

  3. Gardiner, A.: Homogeneous graphs, J. Combinat. Theory Ser. B20, no. 1, 94–102 (1976)

    Google Scholar 

  4. Ward Henson, C.: A family of countable homogeneous graphs. Pacific J. Math.38, 69–83 (1971)

    Google Scholar 

  5. Lachlan, A.H.: Countable homogeneous tournaments. Trans. Amer. Math. Soc.284, 431–461 (1984)

    Google Scholar 

  6. Lachlan, A.H.: Homogeneous structures. In: Proceedings of the International Congress of Mathematicians. Berkeley, California, USA, pp. 314–322 (1986)

  7. Lachlan, A.H., Tripp, A.: Finite homogeneous 3-graphs. Preprint

  8. Lachlan, A.H., Woodrow, R.E.: Countable ultrahomogeneous graphs. Trans. Amer. Math. Soc.262, 155–180 (1980)

    Google Scholar 

  9. Tripp, A.: Finite homogeneous 3-graphs. M.Sc. thesis, Simon Fraser University (1993)

  10. Woodrow, R.E.: There are four countable ultrahomogeneous graphs without triangles. J. Combin. Theory Ser. B27, no. 2, 168–179 (1979)

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Brown University, 02912-0001, Providence, RI, USA

    Reza Akhtar

  2. Department of Mathematics and Statistics, Simon Fraser University, V5A 1S6, Burnaby, BC, Canada

    Alistair H. Lachlan

Authors
  1. Reza Akhtar
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  2. Alistair H. Lachlan
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Additional information

The authors are grateful for support from NSERC (Canada) Grant A3040

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Akhtar, R., Lachlan, A.H. On countable homogeneous 3-hypergraphs. Arch Math Logic 34, 331–344 (1995). https://doi.org/10.1007/BF01387512

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  • DOI: https://doi.org/10.1007/BF01387512

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