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arXiv · 1408.5027

Asymptotic bounds on the equilateral dimension of hypercubes

Lorenz Minder·Thomas Sauerwald·Sven-Ake Wegner
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Abstract

A subset of the finite dimensional hypercube is said to be equilateral if the distance of any two distinct points equals a fixed value. The equilateral dimension of the hypercube is defined as the maximal size of its equilateral subsets. We study asymptotic bounds on the latter quantity considered as a function of two variables, namely dimension and distance.

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Lorenz Minder, Thomas Sauerwald, Sven-Ake Wegner. 2014-08-21. Asymptotic bounds on the equilateral dimension of hypercubes. https://doi.org/10.1007/s00373-014-1473-6

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