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 ErdΕs [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
β¦ LIBER β¦
Simple Approximation Algorithms for MAXNAESP and Hypergraph 2-colorability
β Scribed by Daya Ram Gaur; Ramesh Krishnamurti
- Book ID
- 110301677
- Publisher
- Springer US
- Year
- 2001
- Tongue
- English
- Weight
- 42 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1382-6905
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This paper presents insertions-only algorithms for maintaining the exact andror approximate size of the minimum edge cut and the minimum vertex cut of a graph. Ε½ . The algorithms output the approximate or exact size k in time O 1 and a cut of size k in time linear in its size. For the minimum edge