Lu Lu

collaborators

4 papers

math.CO2026

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

Xucheng Bu, Lihua Feng, Zejun Huang +2

The paper studies a conjecture on the product version of the Hilton‑Milner theorem for non‑trivial cross‑intersecting families, disproving it in a linear range of parameters and co…

math.CO2026

Subspace variations of the weighted skew BollobÃ¡s 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 BollobÃ¡s system if $\dim(A_i\ca…

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

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

Subspace variations of the weighted skew BollobÃ¡s theorem

Spectral extremal problem of the pth power of cycles

Spectral extremal problem for the odd prism

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