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Essential covers of the cube by hyperplanes

✍ Scribed by Nathan Linial; Jaikumar Radhakrishnan


Book ID
108167128
Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
180 KB
Volume
109
Category
Article
ISSN
0097-3165

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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.

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