Junyao Pan

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20232025

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math.CO2025

On two conjectures about pattern avoidance of cyclic permutations

Junyao Pan

Let $π$ be a cyclic permutation that can be expressed in its one-line form as $π = π_{1} π_{2} \cdot \cdot \cdot π_{n}$ and in its standard cycle form as $π = (c_{1}, c_{2}, ..., c_{n})$ where $c_1=…

math.CO2023

A Note On The Cross-Sperner Families

Junyao Pan

Let $(F, G)$ be a pair of families of $[n]$ , where $[n] = {1, 2, ..., n}$ . If $A \neq \subset B$ and $B \neq \subset A$ hold for all $A \in F$ and $B\in\mathcal…