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Lopsided Lovász Local Lemma and Latin transversals

✍ Scribed by Paul Erdős; Joel Spencer


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
186 KB
Volume
30
Category
Article
ISSN
0166-218X

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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