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The Lovász Local Lemma and Its Applications to some Combinatorial Arrays

✍ Scribed by D. Deng; D. R. Stinson; R. WEI


Book ID
111579080
Publisher
Springer
Year
2004
Tongue
English
Weight
146 KB
Volume
32
Category
Article
ISSN
0925-1022

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The Lovász Local Lemma yields sufficient conditions for a hypergraph to be 2-colorable, that is, to have a coloring of the points blue or red such that no edge is monochromatic. The method yields a general theorem, which shows for example, if H is a hypergraph in which each edge contains at least 9

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The Lov~sz Local Lemma yields sufficient conditions for a hypergraph to be 2-colourable, that is, to have a colouring of the points blue or red so that no edge is monochromatic. The method yields a general theorem, which shows for example that, if H is a hypergraph in which each edge contains at lea