Covering the Cube by Affine Hyperplanes

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Abstract

One can easily cover the vertices of the n-cube by 2 hyperplanes. Here it is proved that any set of hyperplanes that covers all the vertices of the n-cube but one contains at least n hyperplanes. We give a variety of proofs and generalizations. © 1993 Academic Press, Inc.

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APA

Alon, N., & Füredi, Z. (1993). Covering the Cube by Affine Hyperplanes. European Journal of Combinatorics, 14(2), 79–83. https://doi.org/10.1006/eujc.1993.1011

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