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Non-trivial \(r\)-wise intersecting families

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Publication:6155545
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DOI10.1007/s10474-023-01313-xMaRDI QIDQ6155545

Peter Frankl, Jian Wang

Publication date: 5 June 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)


zbMATH Keywords

Kruskal-Katona theoremnon-trivial\(r\)-wise intersecting families\(r\)-wise union families


Mathematics Subject Classification ID

Extremal set theory (05D05)




Cites Work

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  • The exact bound in the Erdős-Ko-Rado theorem
  • A new short proof for the Kruskal-Katona theorem
  • Multiply-intersecting families
  • On Sperner families satisfying an additional condition
  • The complete nontrivial-intersection theorem for systems of finite sets
  • Old and new applications of Katona's circle
  • The structure of large non-trivial \(t\)-intersecting families of finite sets
  • Non-trivial \(d\)-wise intersecting families
  • Some exact results for multiply intersecting families
  • INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
  • SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
  • A finite set covering theorem
  • A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations
  • On intersecting families of finite sets
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