Dehai Liu

activity

20232026

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4 papers · 1 filter

math.CO2026

The complete nontrivial-intersection theorem for vector spaces

Dehai Liu, Benjian Lv, Kaishun Wang +1

A family of $k$ -subspaces of an $n$ -dimensional vector space over a finite field is $t$ -intersecting if any two members intersect in a subspace of dimension at least $t$ . A $t$ -int…

math.CO2026

Non-trivial cross- $t$ -intersecting families for vector spaces with the maximum sum of sizes

Dehai Liu, Kaishun Wang, Tian Yao

Let $V$ be an $n$ -dimensional vector space over a finite field. Suppose that $F$ and $G$ are non-empty families of $k$ -subspaces and $ℓ$ -subspaces of $V$ , re…

math.CO2026

$s$ -almost cross- $t$ -intersecting families for vector spaces

Dehai Liu, Jinhua Wang, Tian Yao

Let $V$ be an $n$ -dimensional vector space over the finite field $F_{q}$ , and $[k V]$ denote the family of all $k$ -dimensional subspaces of $V$ . The families $\mat…

math.CO2026

Extremal $t$ -intersecting families for finite sets with $t$ -covering number at least $t + 2$

Tian Yao, Dehai Liu, Kaishun Wang

Let $F \subseteq (k [ n ])$ be a $t$ -intersecting family. Define the $t$ -covering number $τ_{t} (F)$ of $F$ as the minimum size of a subset $S$ of $[n…

The complete nontrivial-intersection theorem for vector spaces

Non-trivial cross-t-intersecting families for vector spaces with the maximum sum of sizes

s-almost cross-t-intersecting families for vector spaces

Extremal t-intersecting families for finite sets with t-covering number at least t+2

Non-trivial cross- $t$ -intersecting families for vector spaces with the maximum sum of sizes

$s$ -almost cross- $t$ -intersecting families for vector spaces

Extremal $t$ -intersecting families for finite sets with $t$ -covering number at least $t + 2$