The Width of a Ball in a Hypercube

Kada Williams

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arXiv · 2403.09943

The Width of a Ball in a Hypercube

Kada Williams

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Abstract

Various authors have calculated how many pairwise incomparable points can be selected from a partially ordered set. We tackle this question for the family of subsets of a finite set obtained by removing or adding a bounded number of elements from a given subset. Our versatile approach is proven valid under the condition of the set size exceeding the cube of the radius.

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Kada Williams. 2024-03-15. The Width of a Ball in a Hypercube. https://arxiv.org/abs/2403.09943

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