Ramsey properties of random discrete structures
Ramsey properties of random discrete structures
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随机离散结构的拉姆齐性质
DOI:
10.1002/rsa.v37:4
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发表时间:
2010
影响因子:
1
通讯作者:
M. Schacht
中科院分区:
文献类型:
--
作者:
E. Friedgut;V. Rödl;M. Schacht
We study thresholds for Ramsey properties of random discrete structures. In particular, we determine the threshold for Rado's theorem for solutions of partition regular systems of equations in random subsets of the integers and we prove the 1-statement of the conjectured threshold for Ramsey's theorem for random hypergraphs. Those results were conjectured by Rodl and Rucinski and similar results were obtained independently by Conlon and Gowers. © 2010 Wiley Periodicals, Inc. Random Struct. Alg., 2010