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» On Rainbow Arithmetic Progressions
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COMBINATORICS
2004
76views more  COMBINATORICS 2004»
13 years 4 months ago
On Rainbow Arithmetic Progressions
Consider natural numbers {1,
Maria Axenovich, Dmitry Fon-Der-Flaass
COMBINATORICS
2002
65views more  COMBINATORICS 2002»
13 years 4 months ago
Thue-like Sequences and Rainbow Arithmetic Progressions
A sequence u = u1u2...un is said to be nonrepetitive if no two adjacent blocks of u are exactly the same. For instance, the sequence abcbcba contains a repetition bcbc, while abca...
Jaroslaw Grytczuk
ENDM
2007
96views more  ENDM 2007»
13 years 4 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
ITA
2006
100views Communications» more  ITA 2006»
13 years 4 months ago
Sequences of low arithmetical complexity
Arithmetical complexity of a sequence is the number of words of length n that can be extracted from it according to arithmetic progressions. We study uniformly recurrent words of l...
Sergey V. Avgustinovich, Julien Cassaigne, Anna E....
APAL
1999
120views more  APAL 1999»
13 years 4 months ago
Bounded Arithmetic, Proof Complexity and Two Papers of Parikh
This article surveys R. Parikh's work on feasibility, bounded arithmetic and the complexity of proofs. We discuss in depth two of Parikh's papers on these subjects and s...
Samuel R. Buss