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ENDM
2007
96views more  ENDM 2007»
13 years 5 months ago
Sub-Ramsey Numbers for Arithmetic Progressions and Schur Triples
For a given positive integer k, sr(m, k) denotes the minimal positive integer such that every coloring of [n], n ≥ sr(m, k), that uses each color at most k times, yields a rainb...
Jacob Fox, Veselin Jungic, Rados Radoicic
GC
2006
Springer
13 years 5 months ago
Sub-Ramsey Numbers for Arithmetic Progressions
Maria Axenovich, Ryan Martin
JCT
2010
113views more  JCT 2010»
13 years 3 months ago
Equations resolving a conjecture of Rado on partition regularity
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...
Boris Alexeev, Jacob Tsimerman