MULTIDIMENSIONAL RAMSEY THEOREMS - AN EXAMPLE

被引:0
|
作者
LISAN, AT [1 ]
机构
[1] LOUISIANA STATE UNIV,DEPT MATH,BATON ROUGE,LA 70803
关键词
AMS subject classification code (1991): 05D10; 05A18;
D O I
10.1007/BF01285824
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In [1] V. Bergelson and N. Hindman used a 6-cell partition of [N]2 to show that one cannot combine their major result with the Milliken-Taylor theorem and asked if one can provide an example with fewer than 6-cells. In this note we show that their 6-cell example can be collapsed into a 5-cell example.
引用
收藏
页码:363 / 365
页数:3
相关论文
共 50 条
  • [31] Ramsey-type Theorems with Forbidden Subgraphs
    Noga Alon
    János Pach
    József Solymosi
    Combinatorica, 2001, 21 : 155 - 170
  • [32] Ramsey theorems for product of finite sets with submeasures
    Saharon Shelah
    Jindřich Zapletal
    Combinatorica, 2011, 31 : 225 - 244
  • [33] ON RAMSEY-TURAN TYPE THEOREMS FOR HYPERGRAPHS
    ERDOS, P
    SOS, VT
    COMBINATORICA, 1982, 2 (03) : 289 - 295
  • [34] Embedding theorems and multidimensional splines
    Ramazanov, M. D.
    DOKLADY MATHEMATICS, 2007, 75 (02) : 224 - 227
  • [35] Embedding theorems and multidimensional splines
    M. D. Ramazanov
    Doklady Mathematics, 2007, 75 : 224 - 227
  • [36] Generalized Ramsey theorems for r-uniform hypergraphs
    Budden, Mark
    Hiller, Josh
    Rapp, Aaron
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2015, 63 : 142 - 152
  • [37] Using Ultrafilters to Prove Ramsey-type Theorems
    Fernandez-Breton, David J.
    AMERICAN MATHEMATICAL MONTHLY, 2022, 129 (02): : 116 - 132
  • [38] Generalizations of some Ramsey-type theorems for matchings
    Bialostocki, A
    Voxman, W
    DISCRETE MATHEMATICS, 2001, 239 (1-3) : 101 - 107
  • [39] More on monochromatic-rainbow Ramsey type theorems
    Wei X.
    Ding R.
    Journal of Applied Mathematics and Computing, 2008, 27 (1-2) : 175 - 181
  • [40] Some Ramsey type theorems for normed and quasinormed spaces
    Henson, CW
    Kalton, NJ
    Peck, NT
    Terescak, I
    Zlatos, P
    STUDIA MATHEMATICA, 1997, 124 (01) : 81 - 100