Rainbow 3-term arithmetic progressions.
Jungić, Veselin, Radoičić, Radoš (2003)
Integers
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Displaying similar documents to “A partition of the non-negative integers, with applications.”
Rainbow 3-term arithmetic progressions.
Some new exact van der Waerden numbers.
Landman, Bruce, Robertson, Aaron, Culver, Clay (2005)
Integers
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On rainbow arithmetic progressions.
Axenovich, Maria, Fon-Der-Flaass, Dmitri (2004)
The Electronic Journal of Combinatorics [electronic only]
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Rainbow Ramsey theory.
Jungić, Veselin, Nešetřil, Jaroslav, Radoičić, Radoš (2005)
Integers
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On monochromatic subsets of a rectangular grid.
Axenovich, Maria, Manske, Jacob (2008)
Integers
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Coloring rectangular blocks in 3-space
Colton Magnant, Daniel M. Martin (2011)
Discussiones Mathematicae Graph Theory
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If rooms in an office building are allowed to be any rectangular solid, how many colors does it take to paint any configuration of rooms so that no two rooms sharing a wall or ceiling/floor get the same color? In this work, we provide a new construction which shows this number can be arbitrarily large.
Disjunctive Rado numbers for .
Sabo, Dusty, Schaal, Daniel, Tokaz, Jacent (2007)
Integers
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A multiplicity problem related to Schur numbers.
Schaal, Daniel, Snevily, Hunter (2008)
Integers
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Thue-like sequences and rainbow arithmetic progressions.
Grytczuk, Jarosław (2002)
The Electronic Journal of Combinatorics [electronic only]
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Monochromatic forests of finite subsets of .
Brown, Tom C. (2000)
Integers
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Rainbow Ramsey theorems for colorings establishing negative partition relations
András Hajnal (2008)
Fundamenta Mathematicae
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Given a function f, a subset of its domain is a rainbow subset for f if f is one-to-one on it. We start with an old Erdős problem: Assume f is a coloring of the pairs of ω₁ with three colors such that every subset A of ω₁ of size ω₁ contains a pair of each color. Does there exist a rainbow triangle? We investigate rainbow problems and results of this style for colorings of pairs establishing negative "square bracket" relations.
A van der Waerden variant.
Compton, Kevin J. (1999)
The Electronic Journal of Combinatorics [electronic only]
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On the degree of regularity of generalized van der Waerden triples.
Fox, Jacob, Radoičić, Radoš (2005)
Integers
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Satisfiability and computing van der Waerden numbers.
Dransfield, Michael R., Liu, Lengning, Marek, Victor W., Truszczyński, Mirosław (2004)
The Electronic Journal of Combinatorics [electronic only]
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