332 search results - page 3 / 67 » The Monochromatic Column problem |
CCCG
2010
13 years 10 months ago
2010
Given a set R of red points and a set B of blue points in the plane of total size n, we study the problem of determining all angles for which there exists an L-shape containing al...
JCT
2010
13 years 7 months ago
2010
A linear equation L is called k-regular if every k-coloring of the positive integers contains a monochromatic solution to L. Richard Rado conjectured that for every positive intege...
ENDM
2008
13 years 8 months ago
2008
In this note we report on our recent work, still in progress, regarding Folkman numbers. Let f(2, 3, 4) denote the smallest integer n such that there exists a K4
JGT
2008
13 years 8 months ago
2008
We consider the following question: how large does n have to be to guarantee that in any two-colouring of the edges of the complete graph Kn,n there is a monochromatic Kk,k? In th...
SIAMDM
2010
13 years 7 months ago
2010
We consider a variation of a problem stated by Erd˝os and Szekeres in 1935 about the existence of a number fES (k) such that any set S of at least fES (k) points in general posit...