A class of inequalities for intersection-closed set systems
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915092883308544 |
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| author | Schrader, Rainer |
| author_facet | Schrader, Rainer |
| contents | Let $N$ be a finite set and $\mathcal{F}$, an intersection-closed family of subsets. Frankl conjectured that there always exists an element in $N$ which is contained in at most half the number of sets in $\mathcal{F}$ unless $\mathcal{F} =\{E\}$. We prove the validity of a class of inequalities which imply Frankl's conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03302 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A class of inequalities for intersection-closed set systems Schrader, Rainer Combinatorics Let $N$ be a finite set and $\mathcal{F}$, an intersection-closed family of subsets. Frankl conjectured that there always exists an element in $N$ which is contained in at most half the number of sets in $\mathcal{F}$ unless $\mathcal{F} =\{E\}$. We prove the validity of a class of inequalities which imply Frankl's conjecture. |
| title | A class of inequalities for intersection-closed set systems |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2501.03302 |