Author

Rongrong Lu

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Open access Aug 2026

Spectral Radius, Transversal Hamilton Paths and Cycles in Bipartite Graph Families

A theorem of Li and Ning [Linear Algebra Appl. 515 (2017)] states that, for $n\geq4$, every balanced bipartite graph $G$ on $2n$ vertices with spectral radius $\lambda(G)\geq\sqrt{n(n-1)}$ contains a Hamilton path unless $G\simeq K_{n,n-1}\cup K_1$. Let $[n]=\{1,2,\ldots,n\}$. We prove a generalization of this theorem...

Xiao-Cong He, Rongrong Lu · Electronic Journal of Combin... · 1 citation

Preprint Jul 2026

An improved range for the maximum critically $t$-intersecting hypergraphs

Let $k>t\ge 1$ be integers and set $d=k-t$. A $k$-uniform hypergraph $\mathcal F$ is called $t$-intersecting if any two edges intersect in at least $t$ vertices, and is called $t$-critical if its minimum $t$-transversal has size $k$. Frankl proved that, for $k\ge d^4$,$|\mathcal F|\le \binom{k+d}{d},$ with equality onl...

Lu Lu, Rongrong Lu, Qifan Wang et al. · 0 citations