Enumerating Seating Arrangements that Obey Social Distancing
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917572673273856 |
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| author | Spahn, George Zeilberger, Doron |
| author_facet | Spahn, George Zeilberger, Doron |
| contents | We study maximal seating arrangements, either on a line, or in a rectangular auditorium with a fixed number of columns but an arbitrary number of rows, that obey any prescribed set of `social distancing' restrictions. In addition to enumeration, we study the statistical distribution of the density, and give efficient algorithms for generating these at random |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12430 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Enumerating Seating Arrangements that Obey Social Distancing Spahn, George Zeilberger, Doron Combinatorics We study maximal seating arrangements, either on a line, or in a rectangular auditorium with a fixed number of columns but an arbitrary number of rows, that obey any prescribed set of `social distancing' restrictions. In addition to enumeration, we study the statistical distribution of the density, and give efficient algorithms for generating these at random |
| title | Enumerating Seating Arrangements that Obey Social Distancing |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2401.12430 |