Lu Lu

activity

20242026

most citedA spectral Erdős-Rademacher theorem

4 citations · 4 across the 5 of their papers we have counts for

collaborators

5 papers

math.CO2026

On a conjecture regarding the product version of the Hilton-Milner theorem

Xucheng Bu, Lihua Feng, Zejun Huang +2

Recently, Frankl and Wang considered a product version of the classical Hilton-Milner theorem. They conjectured that, if $F \subset (k [ n ])$ and $\mathcal{G} \subs…

math.CO2026

Subspace variations of the weighted skew Bollobás theorem

Yongjiang Wu, Yongtao Li, Lu Lu +1

Let $V$ be a finite-dimensional real vector space. A collection $P = {(A_{i}, B_{i})}_{i = 1}^{m}$ of pairs of subspaces of $V$ is called a skew Bollobás system if $\dim(A_i\cap…

math.CO2025

Spectral extremal problem of the $p$ th power of cycles

Xinhui Duan, Lu Lu

For a cycle $C_{k}$ on $k$ vertices, its $p$ -th power, denoted $C_{k}^{p}$ , is the graph obtained by adding edges between all pairs of vertices at distance at most $p$ in $C_{k}$ . Let $\ex…

math.CO2025

Spectral extremal problem for the odd prism

Xinhui Duan, Lu Lu

The spectral Turán number $\spex(n, F)$ denotes the maximum spectral radius $ρ (G)$ of an $F$ -free graph $G$ of order $n$ . This paper determines $\spex\left(n, C_{2k+1}^{\square}\ri…

math.CO2024★ 4 cited

A spectral Erdős-Rademacher theorem

Yongtao Li, Lu Lu, Yuejian Peng

A classical result of Erdős and Rademacher (1955) indicates a supersaturation phenomenon. It says that if $G$ is a graph on $n$ vertices with at least $\lfloor {n^2}/{4} \rfloor +1…

On a conjecture regarding the product version of the Hilton-Milner theorem

Subspace variations of the weighted skew Bollobás theorem

Spectral extremal problem of the pth power of cycles

Spectral extremal problem for the odd prism

A spectral Erdős-Rademacher theorem

Spectral extremal problem of the $p$ th power of cycles