Partitioning two-coloured complete graphs into two monochromatic cycles

被引:53
作者
Luczak, T [1 ]
Rödl, V
Szemerédi, E
机构
[1] Adam Mickiewicz Univ, Dept Discrete Math, PL-61712 Poznan, Poland
[2] Emory Univ, Dept Math & Comp Sci, Atlanta, GA 30322 USA
[3] Rutgers State Univ, Dept Comp Sci, New Brunswick, NJ 08903 USA
关键词
D O I
10.1017/S0963548398003599
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We prove that there exists n(0), such that, for every n greater than or equal to n(0) and every 2-colouring of the edges of the complete graph K-n, one can find two vertex-disjoint monochromatic cycles of different colours which cover all vertices of K-n.
引用
收藏
页码:423 / 436
页数:14
相关论文
共 7 条
[1]  
Ayel J., 1979, THESIS U GRENOBLE
[2]  
ERDOS P, 1991, J COMB THEORY B, V51, P90, DOI 10.1016/0095-8956(91)90007-7
[3]   VERTEX COVERINGS BY MONOCHROMATIC PATHS AND CYCLES [J].
GYARFAS, A .
JOURNAL OF GRAPH THEORY, 1983, 7 (01) :131-135
[4]  
GYARFAS A, 1989, ALGORITHMS COMBINATO, V8, P81
[5]   Partitioning complete bipartite graphs by monochromatic cycles [J].
Haxell, PE .
JOURNAL OF COMBINATORIAL THEORY SERIES B, 1997, 69 (02) :210-218
[6]   Blow-up Lemma [J].
Komlos, J ;
Sarkozy, GN ;
Szemeredi, E .
COMBINATORICA, 1997, 17 (01) :109-123
[7]  
Szemeredi Endre, 1978, Problemes combinatoires et theorie des graphes, V260, P399