Guorui Ma

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math.CO2026

The sharp threshold for rainbow stackings of random edge-colourings

Hong Liu, Guorui Ma, Yangrui Xiang +1

A rainbow stacking of $m$ independent, uniformly random $r$ -edge-colourings of $K_{n}$ is a tuple of vertex permutations that superimposes the colourings such that no two edges of th…

math.CO2026

Sharp threshold for Hamilton cycles in randomly perturbed sparse graphs

Guorui Ma, Zhifei Yan

We determine the sharp threshold for Hamilton cycles in randomly perturbed sparse graphs. For any $α = α (n) = o (1)$ , let $G_{α}$ be an $n$ -vertex graph with minimum degree $δ (G_{α}) \geq α n$ .…