The Width of a Ball in a Hypercube
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866914715435794432 |
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| author | Williams, Kada |
| author_facet | Williams, Kada |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_09943 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Width of a Ball in a Hypercube Williams, Kada Combinatorics 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. |
| title | The Width of a Ball in a Hypercube |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2403.09943 |