3 papers
math.CO2026
Local Ore Conditions for Rainbow Pancyclicity and Vertex-Pancyclicity in Graph Systems
Ailian Chen, Jiahuang Lin
We investigate rainbow pancyclicity and vertex-pancyclicity of graph systems satisfying a local Ore-type degree condition. All graphs in the system share the same vertex set. We pr…
math.CO2026
Local Fan-type obstructions and Ore-type conditions for rainbow Hamiltonicity in graph systems
Ailian Chen, Hao Chen
Let be a graph system on a common -vertex set . For , set \[ δ(v)=\min_{i\in[n]}d_{G_i}(v), \qquad E_{\cap}=\bigcap_{i=1}^n E(G_i), \] and let $d^c(…
math.CO2026
Rainbow Berge Hamiltonicity in edge-colored random -uniform hypergraphs
Liping Zhang, Ailian Chen
Let be an edge-colored random -uniform hypergraph on the vertex set , where each edge is included independently with probabilit…