6 search results - page 1 / 2 » Equations resolving a conjecture of Rado on partition regula... |
JCT
2010
13 years 2 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...
JCT
2006
13 years 4 months ago
2006
We prove that Rado's Boundedness Conjecture from Richard Rado's 1933 famous dissertation Studien zur Kombinatorik is true if it is true for homogeneous equations. We the...
RSA
2010
13 years 2 months ago
2010
We study thresholds for Ramsey properties of random discrete structures. In particular, we determine the threshold for Rado’s theorem for solutions of partition regular systems o...
JCT
2007
13 years 4 months ago
2007
A matrix A is said to be partition regular (PR) over a subset S of the positive integers if whenever S is finitely coloured, there exists a vector x, with all elements in the sam...
ARSCOM
2002
13 years 4 months ago
2002
In 1973, Deuber published his famous proof of Rado's conjecture regarding partition regular sets. In his proof, he invented structures called (m, p, c)-sets and gave a partit...