Mingyang Guo

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math.CO2025

Density conditions for $k$ vertex-disjoint triangles in tripartite graphs

Mingyang Guo, Klas Markström

Let $n, k$ be positive integers such that $n \geq k$ and $G$ be a tripartite graph with parts $A, B, C$ such that $∣ A ∣ = ∣ B ∣ = ∣ C ∣ = n$ . Denote the edge densities of $G [A, B]$ , $G [A, C]$ and $…

math.CO2024

A stability result for almost perfect matchings

Mingyang Guo, Hongliang Lu

Let $n, k, s$ be three integers and $β$ be a sufficiently small positive number such that $k \geq 3$ , $0 < 1/ n ≪ β ≪ 1/ k$ and $k s + k \leq n \leq (1 + β) k s + k - 2$ . A $k$ -graph is called non-t…

Density conditions for k vertex-disjoint triangles in tripartite graphs

A stability result for almost perfect matchings

Density conditions for $k$ vertex-disjoint triangles in tripartite graphs