Author

Xing-Hui Zhao

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Preprint Oct 2026

Edge and spectral conditions for rainbow bipancyclicity in bipartite graph collections

Let $\mathbf{G}=\{G_1,\dots,G_{2n}\}$ be a collection of not necessarily distinct balanced bipartite graphs of order $2n$ with a common bipartition $V=(X,Y)$. A cycle $C$ with $V(C)\subseteq V$ and $|E(C)|\leq 2n$ is called \emph{rainbow} in $\mathbf{G}$, if there exists an injection $\phi\colon E(C)\to [2n]$ such that...

Li-Hua You, Xiao-Xue Zhang, Xing-Hui Zhao · 0 citations

Preprint Sep 2026

Edge and spectral conditions for rainbow pancyclicity in graph collections

Let $\mathbf{G}=\{G_1,\dots,G_{n}\}$ be a collection of not necessarily distinct $n$-vertex graphs with a common vertex set $V$. A cycle $C$ with $V(C)\subseteq V$ and $|E(C)|\leq n$ is called \emph{rainbow} in $\mathbf{G}$, if there exists an injection $\phi\colon E(C)\to [n]$ such that $e\in E(G_{\phi(e)})$ for each...

Li-Hua You, Xiao-Xue Zhang, Xing-Hui Zhao · 2 citations