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Combinatorica

, Volume 17, Issue 2, pp 299–301 | Cite as

Counterexample to the Frankl-Pach conjecture for uniform, dense families

  • R. Ahlswede
  • L. H. Khachatrian
Note

Mathematics Subject Classification (1991)

05D05 

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References

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    N. Sauer: On the density of families of sets,J. Comb. Th. (A) 13 (1972), 145–147.Google Scholar
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    V. N. Vapnik, andA. J. Ĉervonenkis: The uniform convergence of frequencies of the apperance of events to their probabilities, (in Russian),Teor. Veroyatn. Primen.,16 (1971), 267–279.Google Scholar
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    P. Frankl, andJ. Pach: On disjointly representable sets, Combinatorica4 (1984), 39–45.Google Scholar
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    P. Frankl, andM. Watanabe: Density results for uniform families,Combinatorica 14 (1) (1994), 115–119.Google Scholar
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    P. Erdős: On some problems in graph theory, combinatorial analysis and combinatorial number theory, in:Graph theory and combinatorics (Cambridge, 1983), 1–17. B. Bollobás ed., Academic Press, London, 1984.Google Scholar
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    P. Erdős, C. Ko, andR. Rado: Intersection theorems for systems of finite sets,Quart. J. Math. Oxford (2)12 (1961), 313–320.Google Scholar

Copyright information

© János Bolyai Mathematical Society 1997

Authors and Affiliations

  • R. Ahlswede
    • 1
  • L. H. Khachatrian
    • 1
  1. 1.Fakultät MathematikUniversität BielefeldBielefeldGermany

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