Author

Ben-Jian Lv

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Preprint Sep 2026

Sharp stability for cross $t$-intersecting families of permutations in the linear range

Two families $\mathcal{F},\mathcal{G}\subseteq S_n$ are cross $t$-intersecting if every $\sigma\in\mathcal{F}$ and $\tau\in\mathcal{G}$ agree on at least $t$ points. A $t$-coset is a coset of the stabilizer of $t$ points. A subset of $S_n$ is non-trivial if it is not contained in any $t$-coset. Let $d_m$ denote the $m$...

Jie Wen, Ben-Jian Lv · 0 citations

Preprint Sep 2026

On the Frankl--Tokushige conjecture and almost complete $r$-cross $t$-intersection theorems for vector spaces

Let $r\geq3$ and $k_1\geq k_2\geq\cdots\geq k_r\geq t$. Let $\mathcal{F}_1,\mathcal{F}_2,\ldots,\mathcal{F}_r$ be families of subspaces, of respective dimensions $k_1,k_2,\ldots,k_r$, in an $n$-dimensional vector space over the finite field $\mathbb{F}_q$. The $r$ families are called $r$-cross $t$-intersecting if $\dim...

Yao Li, Ben-Jian Lv, Jie Wen · 0 citations