Sharp thresholds for Ramsey properties of strictly balanced nearly bipartite graphs

Sharp thresholds for Ramsey properties of strictly balanced nearly bipartite graphs
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严格平衡近二部图拉姆齐性质的尖锐阈值

DOI:
10.1002/rsa.20723
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发表时间:
2016
影响因子:
1
通讯作者:
Fabian Schulenburg
Fabian Schulenburg
中科院分区:
数学3区
文献类型:
--
作者:
M. Schacht;Fabian Schulenburg

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对于给定的图F,我们考虑了(有限)图G的家族,其中f ramsey属性是f,这是具有属性的属性的集合,该属性每两个两色G的边缘都会产生f的单色副本。对于Friedgut,Rödl,Ruciński和Tetali(2004)为F,我们在随机图中建立了Ramsey属性的尖锐阈值。图F包括所有周期。
For a given graph F we consider the family of (finite) graphs G with the Ramsey property for F, that is the set of such graphs G with the property that every two‐coloring of the edges of G yields a monochromatic copy of F. For F being a triangle Friedgut, Rödl, Ruciński, and Tetali (2004) established the sharp threshold for the Ramsey property in random graphs. We present a simpler proof of this result which extends to a more general class of graphs F including all cycles.
随机子集中范德瓦尔登定理的尖锐阈值
DOI: 10.19086/da.615
发表时间: 2016
期刊: arXiv: Combinatorics
影响因子: --
作者:
Ehud Friedgut; Hiêp Hàn;Yury Person;Mathias Schacht
通讯作者: Mathias Schacht
关于随机图中的 KÅR 猜想
DOI: 10.1007/s11856-014-1120-1
发表时间: 2014
影响因子: 1
作者:
D. Conlon;W. T. Gowers;W. Samotij;M. Schacht
通讯作者: M. Schacht