Mengyu Cao

activity

20192022

t

-intersecting families for vector spaces

5 citations · 9 across the 10 of their papers we have counts for

collaborators

13 papers

math.CO2022★ 1 cited

On the $P_{3}$ -hull numbers of $q$ -Kneser graphs and Grassmann graphs

Jiaqi Liao, Mengyu Cao, Mei Lu

Let $S$ be an $n$ -dimensional vector space over the finite field $F_{q}$ , where $q$ is necessarily a prime power. Denote $K_{q} (n, k)$ (resp. $J_{q} (n, k)$ ) to be the \emph{ $q$ -Kn…

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

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.CO2021

Two characterizations of the grid graphs

Brhane Gebremichel, Meng-Yue Cao, Jack H. Koolen

In this paper we give two characterizations of the $p \times q$ -grid graphs as co-edge-regular graphs with four distinct eigenvalues.

math.CO2021★ 1 cited

Maximality of Seidel matrices and switching roots of graphs

Meng-Yue Cao, Jack H. Koolen, Akihiro Munemasa +1

In this paper, we discuss maximality of Seidel matrices with a fixed largest eigenvalue. We present a classification of maximal Seidel matrices of largest eigenvalue $3$ , which giv…

math.CO2021

Treewidth of the $q$ -Kneser graphs

Mengyu Cao, Ke Liu, Mei Lu +1

Let $V$ be an $n$ -dimensional vector space over a finite field $F_{q}$ , where $q$ is a prime power. Define the \emph{generalized $q$ -Kneser graph} $K_{q} (n, k, t)$ to be the gra…

On the P3​-hull numbers of q-Kneser graphs and Grassmann graphs

r-cross t-intersecting families for vector spaces

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

Two characterizations of the grid graphs

Maximality of Seidel matrices and switching roots of graphs

Treewidth of the q-Kneser graphs

On the $P_{3}$ -hull numbers of $q$ -Kneser graphs and Grassmann graphs

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

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

Treewidth of the $q$ -Kneser graphs