Author

Guo-Rong Gao

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Preprint Oct 2026

Spectral Tur\'an problems for complete bipartite expansions in linear hypergraphs

An $r$-uniform hypergraph is linear if any two edges share at most one vertex. For a family $\mathcal F$ of $r$-graphs, let $\text{ex}^{\text{lin}}_r(n,\mathcal F)$ and $\text{spex}^{\text{lin}}_r(n,\mathcal F)$ denote, respectively, the maximum number of edges and the maximum spectral radius of an $n$-vertex $\mathcal...

Lu-Sheng Fang, Guo-Rong Gao · 0 citations

Preprint Sep 2026

Sparse Approximate Chromatic Profiles of Triangle-Free Graphs

We prove a sparse version of the four-colour theorem of Brandt and Thomass\'{e}, answering a question of Allen, B\"ottcher, Kohayakawa and Roberts. For every fixed $0<\gamma\le1/10$ and every $p=p(n)\in(0,1]$, asymptotically almost surely every spanning triangle-free $H\subseteq G(n,p)$ with $\delta(H)\ge(1/3+\gamma)pn...

Guo-Rong Gao, Jia-Lin He · 0 citations