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Coloring Some Finite Sets in ℝn
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由 J Balogh 著作2013被引用 48 次 — top This note relates to bounds on the chromatic number χ(ℝn) of the Euclidean space, which is the minimum number of colors needed to color all the points in ℝn ...
COLORING SOME FINITE SETS IN Rn
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由 J BALOGH 著作2011被引用 48 次 — The quantity χ(Rn) is the minimum number of colors needed to color all the points in Rn so that any two points at a given distance a receive different colors.
Coloring some finite sets in $\cal R^{n} $
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由 J Balogh 著作2013被引用 48 次 — Abstract. This note relates to bounds on the chromatic number χ(Rn) of the Eu- clidean space, which is the minimum number of colors needed to color all.
Coloring Some Finite Sets in ℝn | Request PDF
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2024年11月21日 — This note relates to bounds on the chromatic number chi(R-n) of the Euclidean space, which is the minimum number of colors needed to color ...
Coloring Some Finite Sets in ℝn - DML-PL - Yadda - ICM UW
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由 J Balogh 著作2013被引用 48 次 — This note relates to bounds on the chromatic number χ(ℝn) of the Euclidean space, which is the minimum number of colors needed to color all the points in ℝn ...
Coloring some finite sets in Rn
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由 J Balogh 著作2013被引用 48 次 — This note relates to bounds on the chromatic number χ(R n ) of the Eu- clidean space, which is the minimum number of colors needed to color ...
(PDF) On the Discrepancy of Coloring Finite Sets
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Given a subset S of {1, …, n } and a map X : {1, …, n } → {−1, 1}, (i.e. a coloring of {1, …, n } with two colors, say red and blue) define the discrepancy ...
Ramsey theory, finite colourings of N and infinite ...
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2012年5月9日 — I'm not sure where I'm going wrong: what I'm trying to do is produce a colouring such that for any xi and xj in our set, xi+2xj and xj+2xi are ...
1 個答案 · 最佳解答: Let h(n) be the highest power of two appearing in the binary expansion of n>0, and let c(n) be the parity of h(n).
Suppose h(x)=n and h(y)≤n−1. Note ...
2022年4月17日
arXiv:2309.09973v1 [math.CO] 18 Sep 2023
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Univerzita Karlova
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由 V KOVAC 著作2023 — For every integer n ⩾ 2 there exists a finite coloring of the Euclidean space Rn such that there is no rectangular box of volume 1 with all of ...
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