Bipartite Graphs and Monochromatic Squares

被引:0
作者
Shimon Garti
机构
[1] The Hebrew University of Jerusalem,Institute of Mathematics
来源
Order | 2019年 / 36卷
关键词
Bipartite graph; Polarized relation; Saturated ideals;
D O I
暂无
中图分类号
学科分类号
摘要
Let κ be a successor cardinal. We prove that consistently every bipartite graph of size κ+ × κ+ contains either an independent set or a clique of size τ × τ for every ordinal τ < κ+. We prove a similar theorem for ℓ-partite graphs.
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页码:99 / 106
页数:7
相关论文
共 3 条
[1]  
Baumgartner JE(2001)Polarized partition relations J. Symbol. Log. 66 811-821
[2]  
Hajnal A(2017)Amenable colorings Eur. J. Math. 3 77-86
[3]  
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