Pei Liu

collaborators

4 papers

math.CO2026

Exact local spectral thresholds for perfect matchings in $3$ -graphs and $3$ -partite $3$ -graphs

Pei Liu, Suil O

For a $3$ -uniform hypergraph $H$ , let $σ (H)$ be the minimum over the vertices of $H$ of the spectral radius of the link. Lin, Lu, Yuan and Zhao conjectured that $σ(H)>\tfrac{2n}3-2…

math.CO2026

The maximum spectral radius of uniform hypergraphs whose shadow excludes a complete or complete bipartite minor

Pei Liu, Suil O

For a $k$ -uniform hypergraph $H$ , the shadow of $H$ is the graph whose edges are the pairs covered by a hyperedge. In this paper, for all sufficiently large $n$ ,…

math.CO2026

The maximum spectral radius of outerplanar and planar $k$ -uniform hypergraphs

Pei Liu, Suil O

For an integer $k \geq 3$ , a $k$ -angulation is a simple $2$ -connected outerplane graph whose interior faces are bounded by $k$ -cycles, and a closed $k$ -angulation is a simple $2$ -conn…

math.CO2026

A sharp Randić bound for König--Egerváry graphs and a conjecture of Aouchiche, Hansen, and Zheng

Pei Liu, Feiyu Nan, Suil O +1

Let $α^{'} (G)$ be the matching number of a graph $G$ , and let its Randić index be $R (G) = \sum_{uv \in E (G)} (d (u) d (v))^{- 1/2}$ . In 2006, Aouchiche, Hansen, and Zheng conjectured that the…

Exact local spectral thresholds for perfect matchings in 3-graphs and 3-partite 3-graphs

The maximum spectral radius of uniform hypergraphs whose shadow excludes a complete or complete bipartite minor

The maximum spectral radius of outerplanar and planar k-uniform hypergraphs

A sharp Randić bound for König--Egerváry graphs and a conjecture of Aouchiche, Hansen, and Zheng

Exact local spectral thresholds for perfect matchings in $3$ -graphs and $3$ -partite $3$ -graphs

The maximum spectral radius of outerplanar and planar $k$ -uniform hypergraphs