A partition of the non-negative integers, with applications.
Brown, Tom C. (2005)
Integers
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Displaying similar documents to “On a variant of van der Waerden's theorem.”
A partition of the non-negative integers, with applications.
On the discrepancy of quasi-progressions.
Vijay, Sujith (2008)
The Electronic Journal of Combinatorics [electronic only]
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The Incidence Chromatic Number of Toroidal Grids
Éric Sopena, Jiaojiao Wu (2013)
Discussiones Mathematicae Graph Theory
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An incidence in a graph G is a pair (v, e) with v ∈ V (G) and e ∈ E(G), such that v and e are incident. Two incidences (v, e) and (w, f) are adjacent if v = w, or e = f, or the edge vw equals e or f. The incidence chromatic number of G is the smallest k for which there exists a mapping from the set of incidences of G to a set of k colors that assigns distinct colors to adjacent incidences. In this paper, we prove that the incidence chromatic number of the toroidal grid Tm,n = Cm2Cn equals...
Rainbow 3-term arithmetic progressions.
Jungić, Veselin, Radoičić, Radoš (2003)
Integers
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Monochromatic forests of finite subsets of .
Brown, Tom C. (2000)
Integers
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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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On a family of quasi-arithmetic means.
G. Mayor (1994)
Aequationes mathematicae
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Some new Ramsey colorings.
Exoo, Geoffrey (1998)
The Electronic Journal of Combinatorics [electronic only]
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On monochromatic subsets of a rectangular grid.
Axenovich, Maria, Manske, Jacob (2008)
Integers
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A property of quasi-complements
Robert H. Lohman (1974)
Colloquium Mathematicae
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Invariance in the class of weighted quasi-arithmetic means
Justyna Jarczyk, Janusz Matkowski (2006)
Annales Polonici Mathematici
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Under the assumption of twice continuous differentiability of some of the functions involved we determine all the weighted quasi-arithmetic means M,N,K such that K is (M,N)-invariant, that is, K∘(M,N) = K. Some applications to iteration theory and functional equations are presented.
Thue-like sequences and rainbow arithmetic progressions.
Grytczuk, Jarosław (2002)
The Electronic Journal of Combinatorics [electronic only]
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Discrepancy of cartesian products of arithmetic progressions.
Doerr, Benjamin, Srivastav, Anand, Wehr, Petra (2004)
The Electronic Journal of Combinatorics [electronic only]
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