More on $r$-cross $t$-intersecting families for vector spaces
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866916228982898688 |
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| author | Yao, Tian Liu, Dehai Wang, Kaishun |
| author_facet | Yao, Tian Liu, Dehai Wang, Kaishun |
| contents | Let $V$ be a finite dimensional vector space over a finite field. Suppose that $\mathscr{F}_1$, $\mathscr{F}_2$, $\dots$, $\mathscr{F}_r$ are $r$-cross $t$-intersecting families of $k$-subspaces of $V$. In this paper, we determine the extremal structure when $\prod_{i=1}^r|\mathscr{F}_i|$ is maximum under the condition that $\dim(\bigcap_{F\in\mathscr{F}_i}F)<t$ for each $i$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18939 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | More on $r$-cross $t$-intersecting families for vector spaces Yao, Tian Liu, Dehai Wang, Kaishun Combinatorics 05D05, 05A30 Let $V$ be a finite dimensional vector space over a finite field. Suppose that $\mathscr{F}_1$, $\mathscr{F}_2$, $\dots$, $\mathscr{F}_r$ are $r$-cross $t$-intersecting families of $k$-subspaces of $V$. In this paper, we determine the extremal structure when $\prod_{i=1}^r|\mathscr{F}_i|$ is maximum under the condition that $\dim(\bigcap_{F\in\mathscr{F}_i}F)<t$ for each $i$. |
| title | More on $r$-cross $t$-intersecting families for vector spaces |
| topic | Combinatorics 05D05, 05A30 |
| url | https://arxiv.org/abs/2310.18939 |