Tian Yao

activity

20202022

collaborators

5 papers

math.CO2022

Cross $t$ -intersecting families for symplectic polar spaces

Tian Yao, Kaishun Wang

Let $P$ be a symplectic polar space over a finite field $F_{q}$ , and $P_{m}$ denote the collection of all $k$ -dimensional totally isotropic subspace in $\m…

math.CO2022

Cross $t$ -intersecting families for finite affine spaces

Tian Yao, Kaishun Wang

Denote the collection of all $k$ -flats in $A G (n, F_{q})$ by $M (k, n)$ . Let $F_{1} \subset M (k_{1}, n)$ and $F_{2} \subset M (k_{2}, n)$ sati…

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.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 $t$ -intersecting families for direct products

Tian Yao, Benjian Lv, Kaishun Wang

In this paper, by shifting technique we study $t$ -intersecting families for direct products where the ground set is divided into several parts. Assuming the size of each part is su…

Cross t-intersecting families for symplectic polar spaces

Cross t-intersecting families for finite affine spaces

Large non-trivial t-intersecting families for signed sets

Non-trivial t-intersecting families for symplectic polar spaces

Extremal t-intersecting families for direct products

Cross $t$ -intersecting families for symplectic polar spaces

Cross $t$ -intersecting families for finite affine spaces

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

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

Extremal $t$ -intersecting families for direct products