Mengyue Cao

activity

20202025

collaborators

4 papers

math.CO2025

Edge pancyclic Cayley graphs on symmetric group

Mengyu Cao, Mei Lu, Zequn Lv +1

We study the derangement graph $Γ_{n}$ whose vertex set consists of all permutations of ${1, \dots, n}$ , where two vertices are adjacent if and only if their corresponding permutati…

math.CO2025

Simplices in $t$ -intersecting families for vector spaces

Haixiang zhang, Mengyu Cao, Mei Lu +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 $V$ . A family $\mathcal{F}\s…

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.CO2020

The Lemmens-Seidel conjecture and forbidden subgraphs

Meng-Yue Cao, Jack H, Koolen +2

In this paper we show that the conjecture of Lemmens and Seidel of 1973 for systems of equiangular lines with common angle $arccos (1/5)$ is true. Our main tool is forbidden subgr…

Edge pancyclic Cayley graphs on symmetric group

Simplices in t-intersecting families for vector spaces

Some intersection theorems for finite sets

The Lemmens-Seidel conjecture and forbidden subgraphs

Simplices in $t$ -intersecting families for vector spaces