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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2506.14219 |
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| _version_ | 1866909651385188352 |
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| author | Rodgers, Brad Sahay, Anurag |
| author_facet | Rodgers, Brad Sahay, Anurag |
| contents | For a random subset of a finite group $G$ of cardinality $N$, we consider the VC-dimension of the family of its translates (equivalently the VC-dimension of a random Cayley graph) and prove a law of large numbers as $N\rightarrow\infty$. This answers a question of McDonald--Sahay--Wyman. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14219 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The VC-dimension of random subsets of finite groups Rodgers, Brad Sahay, Anurag Combinatorics Number Theory Probability For a random subset of a finite group $G$ of cardinality $N$, we consider the VC-dimension of the family of its translates (equivalently the VC-dimension of a random Cayley graph) and prove a law of large numbers as $N\rightarrow\infty$. This answers a question of McDonald--Sahay--Wyman. |
| title | The VC-dimension of random subsets of finite groups |
| topic | Combinatorics Number Theory Probability |
| url | https://arxiv.org/abs/2506.14219 |