Benjian Lv

activity

20112022

t

-intersecting families for vector spaces

5 citations · 7 across the 11 of their papers we have counts for

collaborators

16 papers

math.CO2022

Some intersection theorems for finite sets

Mengyu Cao, Mei Lu, Benjian Lv +1

Let $n$ , $r$ , $k_{1}, \dots, k_{r}$ and $t$ be positive integers with $r \geq 2$ , and $F_{i} (1 \leq i \leq r)$ a family of $k_{i}$ -subsets of an $n$ -set $V$ . The families $\mathcal…

math.CO2022

$r$ -cross $t$ -intersecting families for vector spaces

Mengyu Cao, Mei Lu, Benjian Lv +1

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 $\mathcal…

math.CO2021

Large non-trivial $t$ -intersecting families for signed sets

Tian Yao, Benjian Lv, Kaishun Wang

For positive integers $n, r, k$ with $n \geq r$ and $k \geq 2$ , a set ${(x_{1}, y_{1}), (x_{2}, y_{2}), \dots, (x_{r}, y_{r})}$ is called a $k$ -signed $r$ -set on $[n]$ if $x_{1}, \dots, x_{r}$ are distinct ele…

math.CO2021

Non-trivial $t$ -intersecting families for the distance-regular graphs of bilinear forms

Mengyu Cao, Benjian Lv, Kaishun Wang

Let $V$ be an $(n + ℓ)$ -dimensional vector space over a finite field, and $W$ a fixed $ℓ$ -dimensional subspace of $V$ . Write $[n , 0 V]$ to be the set of all $n$ -dimensiona…

math.CO2020

Non-trivial $t$ -intersecting families for symplectic polar spaces

Tian Yao, Benjian Lv, Kaishun Wang

Let $P$ be a symplectic polar space over a finite field $F_{q}$ , and $P_{m}$ denote the set of all $m$ -dimensional subspaces in $P$ . We say a $t$ …

math.CO2020

Extremal even-cycle-free subgraphs of the complete transposition graphs

Mengyu Cao, Benjian Lv, Kaishun Wang +1

Given graphs $G$ and $H$ , the generalized Turán number $ex (G, H)$ is the maximum number of edges in an $H$ -free subgraph of $G$ . In this paper, we obtain an asymptotic upper b…

Some intersection theorems for finite sets

r-cross t-intersecting families for vector spaces

Large non-trivial t-intersecting families for signed sets

Non-trivial t-intersecting families for the distance-regular graphs of bilinear forms

Non-trivial t-intersecting families for symplectic polar spaces

Extremal even-cycle-free subgraphs of the complete transposition graphs

$r$ -cross $t$ -intersecting families for vector spaces

Large non-trivial $t$ -intersecting families for signed sets

Non-trivial $t$ -intersecting families for the distance-regular graphs of bilinear forms

Non-trivial $t$ -intersecting families for symplectic polar spaces