Covering \(t\)-element sets by partitions

DOI10.1016/S0195-6698(13)80099-6zbMath0758.05008MaRDI QIDQ1180794

Zoltan Fueredi, András Gyárfás

Publication date: 27 June 1992

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

partitionscoveringhypergraphsblocking sets

Mathematics Subject Classification ID

Partitions of sets (05A18) Hypergraphs (05C65) Combinatorial inequalities (05A20) Blocking sets, ovals, (k)-arcs (51E21) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Ramsey theory (05D10) Combinatorial aspects of packing and covering (05B40)

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Large monochromatic components and long monochromatic cycles in random hypergraphs ⋮ Large monochromatic components in colorings of complete hypergraphs ⋮ Large monochromatic components in hypergraphs with large minimum codegree ⋮ Size of monochromatic components in local edge colorings ⋮ Large monochromatic components in 3‐edge‐colored Steiner triple systems ⋮ Monochromatic partitions in local edge colorings ⋮ Highly connected monochromatic subgraphs ⋮ The 3-Colour Ramsey Number of a 3-Uniform Berge Cycle ⋮ Ramsey Problems for Berge Hypergraphs ⋮ Large monochromatic components in colorings of complete 3-uniform hypergraphs ⋮ Intersecting designs from linear programming and graphs of diameter two

Cites Work

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• Covering the complete graph by partitions
• On generalized Ramsey numbers for trees
• t-expansive and t-wise intersecting hypergraphs
• Finite projective spaces and intersecting hypergraphs
• Maximum degree and fractional matchings in uniform hypergraphs
• Matchings and covers in hypergraphs