On the size-Ramsey number of grids

被引:1
作者
Conlon, David [1 ]
Nenadov, Rajko [2 ]
Trujic, Milos [3 ]
机构
[1] CALTECH, Dept Math, Pasadena, CA 91125 USA
[2] Univ Auckland, Sch Comp Sci, Auckland, New Zealand
[3] Swiss Fed Inst Technol, Inst Theoret Comp Sci, CH-8092 Zurich, Switzerland
基金
瑞士国家科学基金会;
关键词
Ramsey theory; random graphs; grid graph; GRAPHS; POWERS;
D O I
10.1017/S0963548323000147
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We show that the size-Ramsey number of the root n x root n grid graph is O(n(5/4)), improving a previous bound of n(3/2+o(1)) by Clemens, Miralaei, Reding, Schacht, and Taraz.
引用
收藏
页码:874 / 880
页数:7
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