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A stability result for the Katona theorem

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Publication:345134
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DOI10.1016/j.jctb.2016.10.003zbMath1350.05067OpenAlexW2543152385MaRDI QIDQ345134

Peter Frankl

Publication date: 25 November 2016

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2016.10.003


zbMATH Keywords

extremal problemsfinite setsfamiliesintersectionunion


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Distance in graphs (05C12)


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Suboptimal \(s\)-union families and \(s\)-union antichains for vector spaces ⋮ A Stability Result for Families with Fixed Diameter ⋮ Analogues of Milner's theorem for families without long chains and of vector spaces



Cites Work

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  • Some best possible inequalities concerning cross-intersecting families
  • INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
  • Intersection theorems for systems of finite sets
  • On a combinatorial conjecture of Erdös
  • SOME INTERSECTION THEOREMS FOR SYSTEMS OF FINITE SETS
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