Yupei Li

collaborators

3 papers

math.CO2025

Ore's Theorem for rainbow Hamiltonian-connected graphs

Yupei Li, Ruth Luo

Let $G = (G_{1}, G_{2}, \dots, G_{m})$ be a collection of $m$ graphs on a common vertex set $V$ . For a graph $H$ with vertices in $V$ , we say that $G$ contains a rainbow $H$ if there is…

math.CO2025

An Ore-type theorem for $[3]$ -graphs

Yupei Li, Linyuan Lu, Ruth Luo

Ore's Theorem states that if $G$ is an $n$ -vertex graph and every pair of non-adjacent vertices has degree sum at least $n$ , then $G$ is Hamiltonian. A $[3]$ -graph is a hypergraph…

math.CO2025

Pancyclicity in hypergraphs with large uniformity

Teegan Bailey, Isaiah Hollars, Yupei Li +1

A Berge cycle of length $ℓ$ in a hypergraph $H$ is a sequence of alternating vertices and edges $v_{0} e_{0} v_{1} e_{1} ... v_{ℓ} e_{ℓ} v_{0}$ such that $\{v_i,v_{i+1}\}\subseteq…

Ore's Theorem for rainbow Hamiltonian-connected graphs

An Ore-type theorem for [3]-graphs

Pancyclicity in hypergraphs with large uniformity

An Ore-type theorem for $[3]$ -graphs