Rainbow Ramsey theory.
Jungić, Veselin, Nešetřil, Jaroslav, Radoičić, Radoš (2005)
Integers
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Displaying similar documents to “Rainbow 3-term arithmetic progressions.”
Rainbow Ramsey theory.
On rainbow arithmetic progressions.
Axenovich, Maria, Fon-Der-Flaass, Dmitri (2004)
The Electronic Journal of Combinatorics [electronic only]
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Some new exact van der Waerden numbers.
Landman, Bruce, Robertson, Aaron, Culver, Clay (2005)
Integers
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A partition of the non-negative integers, with applications.
Brown, Tom C. (2005)
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.
Disjunctive Rado numbers for .
Sabo, Dusty, Schaal, Daniel, Tokaz, Jacent (2007)
Integers
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On monochromatic subsets of a rectangular grid.
Axenovich, Maria, Manske, Jacob (2008)
Integers
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On rainbow solutions to an equation with a quadratic term.
Zhan, Tong (2009)
Integers
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A multiplicity problem related to Schur numbers.
Schaal, Daniel, Snevily, Hunter (2008)
Integers
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Two color off-diagonal Rado-type numbers.
Myers, Kellen, Robertson, Aaron (2007)
The Electronic Journal of Combinatorics [electronic only]
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Three edge-coloring conjectures
Richard H. Schelp (2002)
Discussiones Mathematicae Graph Theory
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The focus of this article is on three of the author's open conjectures. The article itself surveys results relating to the conjectures and shows where the conjectures are known to hold.
Further results on the achromatic number
Dennis Geller, Hudson Kronk (1974)
Fundamenta Mathematicae
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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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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.