Graphs and Combinatorics

, Volume 1, Issue 1, pp 291–293 | Cite as

Note on a Ramsey-Turán type problem

  • Vojtêch Rödl


Solving a problem of Erdös the existence of a graph withn vertices,cn 2 edges and withoutK(4) andK(3, 3, 3) is proved. It remains an open question whether all such graphs containK(2, 2, 2).


Bipartite Graph Complete Graph Type Problem Discrete Math Random Subset 
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    Bollobás, B., Erdös, P.: On a Ramsey-Turán Type Problem. J. Comb. Theory (B)21, 166–168 (1976).zbMATHCrossRefGoogle Scholar
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    Erdös, P.: Graph theory and probability. Canad. J. Math.11, 34–38 (1959).zbMATHMathSciNetGoogle Scholar
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    Erdös, P.: Problems and results on graphs and hypergraphs: similarities and differences. In: Recent Trends of Ramsey Theory, edited by Nešetřil, J., Rödl, V. (to appear). Annals Discrete Math. (to appear)Google Scholar
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    Szemerédi, E.: Graphs without complete quadrilaterals (in Hungarian), Mat. Lapok23, 113–116 (1973)Google Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Vojtêch Rödl
    • 1
  1. 1.Fakulta Jaderná a Fyzikálnê InženýrskáKatedra MatematikyPragueCzechoslovakia

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