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Union-free families of sets and equations over fields

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Publication:1073796
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DOI10.1016/0022-314X(86)90091-0zbMath0589.05013OpenAlexW1971372570MaRDI QIDQ1073796

Peter Frankl, Zoltan Fueredi

Publication date: 1986

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(86)90091-0


zbMATH Keywords

extremal set theorySteiner triple systemssubsets


Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Enumerative combinatorics (05A99) Sequences and sets (11B99)


Related Items (7)

Polychromatic cliques ⋮ Atoms of set systems with a fixed number of pairwise unions ⋮ Uniform hypergraphs containing no grids ⋮ On sparse parity check matrices (extended abstract) ⋮ New Turán Exponents for Two Extremal Hypergraph Problems ⋮ Extremal problems for sets forming Boolean algebras and complete partite hypergraphs ⋮ Union-free hypergraphs and probability theory



Cites Work

  • A new extremal property of Steiner triple-systems
  • Graphs without quadrilaterals
  • On coloring graphs to maximize the proportion of multicolored k-edges
  • Unnamed Item


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