Combinatorial extremum problems for 2-colorings of hypergraphs
β Scribed by A. P. Rozovskaya
- Book ID
- 110150020
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2011
- Tongue
- English
- Weight
- 608 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0001-4346
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π SIMILAR VOLUMES
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
The graph coloring problem is a classic one in combinatorial optimization with a diverse set of significant applications in science and engineering. In this paper, we study several versions of this problem generalized to hypergraphs and develop solutions based on the neural network approach. We expe