Author

Li-Ping Zhang

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Preprint Sep 2026

A Bondy-type theorem for rainbow pancyclicity in graph systems

We establish a Hamiltonian-to-pancyclic analogue of Bondy's theorem for graph systems under an aggregate degree condition. Let $\G=(G_1,\ldots,G_n)$ be a graph system on a common $n$-vertex set $V$, and write $\delta(v)=\min_{i\in[n]}d_{G_i}(v)$. If $\G$ contains a rainbow Hamilton cycle and \[ \sum_{v\in V}\delta(v)\g...

Ai-Lian Chen, Li-Ping Zhang · 0 citations

Preprint Sep 2026

Rainbow Berge Hamiltonicity in edge-colored random $k$-uniform hypergraphs

Let $H \sim H^{k}_c(n,p)$ be an edge-colored random $k$-uniform hypergraph on the vertex set $[n]$, where each edge $e \in \binom{[n]}{k}$ is included independently with probability $p$ and is uniformly and independently assigned a color from the color set $[c]$. For $k = 2$, Ferber and Krivelevich (2016) established t...

Li-Ping Zhang, Ai-Lian Chen · 0 citations