On Partitioning Colored Points

Takahisa Toda · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2011

P. Kirchberger proved that, for a finite subset X of Rd 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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