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Improved bounds for intersecting triangles and halving planes

✍ Scribed by David Eppstein


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
298 KB
Volume
62
Category
Article
ISSN
0097-3165

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We show that for all large n, every n-uniform hypergraph with at most 0 7 n/ ln n Γ— 2 n edges can be 2-colored. This makes progress on a problem of ErdΕ‘s [Nordisk Mat. Tidskrift 11, 5-10 (1963)], improving the previous-best bound of n 1/3-o 1 Γ— 2 n due to Beck [Discrete Math. 24, 127-137 (1978)]. We