Consider a coloring of {1, 2,... ,n} in 3 colors, where n ≡ 0 (mod 3). If all the color classes have the same cardinality, then there is a 3-term arithmetic progression whose elements are colored in distinct colors. This rainbow variant of van der Waerden’s theorem proves the conjecture of the second author
Let W (3, k) denote the largest integer w such that there is a red/blue coloring of {1, 2,..., w} wh...
We study the length of monochromatic arithmetic progressions in the Thue–Morse word and in a class o...
We show that there is a red-blue colouring of [N] with no blue 3-term arithmetic progression and no ...
Consider a coloring of {1, 2,... ,n} in 3 colors, where n ≡ 0 (mod 3). If all the color classes have...
In this paper, we investigate the anti-Ramsey (more precisely, anti-van der Waerden) properties of a...
For infinitely many natural numbers n, we construct 4-colorings of [n] = {1, 2, . . ., n}, with eq...
Abstract. Let [n] = {1,..., n} be colored in k colors. A rainbow AP(k) in [n] is a k term arithmeti...
In this paper, we study the rainbow Erdős-Rothschild problem with respect to 3term arithmetic progre...
AbstractVan der Waerden's classical theorem on arithmetic progressions states that for any positive ...
AbstractLet V(n) be the minimum number of monochromatic 3-term arithmetic progressions in any 2-colo...
In this paper, we investigate the anti-Ramsey (more precisely, anti-van der Waerden) properties of a...
Analogues of van der Waerden’s theorem on arithmetic progressions are considered where the family of...
This paper presents an overview of the current state in research directions in the rainbow Ramsey t...
AbstractIn this article, we consider the relations between colourings and some equations in finite g...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
Let W (3, k) denote the largest integer w such that there is a red/blue coloring of {1, 2,..., w} wh...
We study the length of monochromatic arithmetic progressions in the Thue–Morse word and in a class o...
We show that there is a red-blue colouring of [N] with no blue 3-term arithmetic progression and no ...
Consider a coloring of {1, 2,... ,n} in 3 colors, where n ≡ 0 (mod 3). If all the color classes have...
In this paper, we investigate the anti-Ramsey (more precisely, anti-van der Waerden) properties of a...
For infinitely many natural numbers n, we construct 4-colorings of [n] = {1, 2, . . ., n}, with eq...
Abstract. Let [n] = {1,..., n} be colored in k colors. A rainbow AP(k) in [n] is a k term arithmeti...
In this paper, we study the rainbow Erdős-Rothschild problem with respect to 3term arithmetic progre...
AbstractVan der Waerden's classical theorem on arithmetic progressions states that for any positive ...
AbstractLet V(n) be the minimum number of monochromatic 3-term arithmetic progressions in any 2-colo...
In this paper, we investigate the anti-Ramsey (more precisely, anti-van der Waerden) properties of a...
Analogues of van der Waerden’s theorem on arithmetic progressions are considered where the family of...
This paper presents an overview of the current state in research directions in the rainbow Ramsey t...
AbstractIn this article, we consider the relations between colourings and some equations in finite g...
An arithmetic progression is a sequence of numbers such that the difference between the consecutive ...
Let W (3, k) denote the largest integer w such that there is a red/blue coloring of {1, 2,..., w} wh...
We study the length of monochromatic arithmetic progressions in the Thue–Morse word and in a class o...
We show that there is a red-blue colouring of [N] with no blue 3-term arithmetic progression and no ...
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