Stability of the path-path Ramsey number

被引：6
|
作者：
Gyarfas, Andras [1 ]
Sarkozy, Gabor N. [1 ,2 ]
Szemeredi, Endre [3 ,4 ]
机构：
[1] Hungarian Acad Sci, Comp & Automat Res Inst, H-1518 Budapest, Hungary
[2] Worcester Polytech Inst, Dept Comp Sci, Worcester, MA 01609 USA
[3] Rutgers State Univ, Dept Comp Sci, New Brunswick, NJ 08903 USA
[4] Inst Adv Study, Princeton, NJ 08540 USA
来源：
DISCRETE MATHEMATICS | 2009年 / 309卷 / 13期
基金：
美国国家科学基金会;
关键词：
Ramsey theory; Stability; Path;
D O I：
10.1016/j.disc.2009.02.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Here we prove a stability version of a Ramsey-type Theorem for paths. Thus in any 2-coloring of the edges of the complete graph K. we can either find a monochromatic path substantially longer than 2n/3, or the coloring is close to the extremal coloring. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：4590 / 4595
页数：6
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