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arXiv:1808.09482 [math.PR]AbstractReferencesReviewsResources

Expected Number of Vertices of a Hypercube Slice

Hunter Swan

Published 2018-08-28Version 1

Given a random k-dimensional cross-section of a hypercube, what is its expected number of vertices? We show that, for a suitable distribution of random slices, the answer is $2^k$, independent of the dimension of the hypercube.

Comments: 5 pages, 2 figures
Journal: Swan, H. (2016). Expected Number of Vertices of a Hypercube Slice. The American Mathematical Monthly, 123(6), 600-604
Categories: math.PR, math.MG
Subjects: 52C99, 60D05
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