A Short Proof of the Existence of $K_q^r$-absorbers
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913854032707584 |
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| author | Delcourt, Michelle Kelly, Tom Postle, Luke |
| author_facet | Delcourt, Michelle Kelly, Tom Postle, Luke |
| contents | We codify a short self-contained proof of the existence of $K_q^r$-absorbers implicit in Keevash's original proof of the Existence Conjecture. Combining this with the work of the first and third authors in yields a proof of the Existence Conjecture for Combinatorial Designs that is not reliant on the construction of $K_q^r$-absorbers by Glock, Kühn, Lo, and Osthus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09710 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Short Proof of the Existence of $K_q^r$-absorbers Delcourt, Michelle Kelly, Tom Postle, Luke Combinatorics 05B05, 05B07 We codify a short self-contained proof of the existence of $K_q^r$-absorbers implicit in Keevash's original proof of the Existence Conjecture. Combining this with the work of the first and third authors in yields a proof of the Existence Conjecture for Combinatorial Designs that is not reliant on the construction of $K_q^r$-absorbers by Glock, Kühn, Lo, and Osthus. |
| title | A Short Proof of the Existence of $K_q^r$-absorbers |
| topic | Combinatorics 05B05, 05B07 |
| url | https://arxiv.org/abs/2412.09710 |