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Improved Risk Tail Bounds for On-Line Algorithms

✍ Scribed by Cesa-Bianchi, N.; Gentile, C.


Book ID
114640997
Publisher
IEEE
Year
2008
Tongue
English
Weight
204 KB
Volume
54
Category
Article
ISSN
0018-9448

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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