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Ramsey Properties of Random k-Partite, k-Uniform Hypergraphs

✍ Scribed by Rödl, Vojtěch; Ruciński, Andrzej; Schacht, Mathias


Book ID
118196943
Publisher
Society for Industrial and Applied Mathematics
Year
2007
Tongue
English
Weight
265 KB
Volume
21
Category
Article
ISSN
0895-4801

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Ramsey Properties of Random Hypergraphs
✍ Vojtech Rödl; Andrzej Ruciński 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 501 KB

Let K (k) (n, p) be the random k-uniform hypergraph obtained by independent inclusion of each of the ( n k ) k-tuples with probability p. For an arbitrary k-uniform hypergraph G and every integer r we find the threshold for the property that every r-coloring of the vertices of K (k) (n, p) results i