Guorui Ma

collaborators

3 papers

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 $I^\pm = I^\pm (n) = o (1)$ , let $G_{I^} \pm$ be an $n$ -vertex graph with minimum degree $Î´(G_Î±)\g…

math-ph2026

Geometric construction of superintegrable Poisson projection chains via Poisson centralizers

Kai Jiang, Guorui Ma, Ian Marquette +2

We introduce a geometric framework for constructing superintegrable systems from Poisson centralizers (commutants) in the Lie-Poisson algebra $S (g)$ of a complex semisim…