On Partitioning Colored Points

Details On Partitioning Colored Points On Partitioning Colored Points

2010-11-15

arxiv.org/abs/1011.3451v1

IEICE Trans. on Fundamentals, vol.E94-A, No.6, pp.1242-1246, 2011

Mathematics

Combinatorics

Scientific paper

P. Kirchberger proved that, for a finite subset $X$ of $\mathbb{R}^{d}$ such
that each point in $X$ is painted with one of two colors, if every $d+2$ or
fewer points in $X$ can be separated along the colors, then all the points in
$X$ can be separated along the colors. In this paper, we show a more colorful
theorem.

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