Junyao Pan

activity

20232025

collaborators

3 papers

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.GR2024

Automorphism group of the graph $A (n, k, r)$

Junyao Pan

Let $[n]^{(k)}$ be the set of all ordered $k$ -tuples of distinct elements in $[n] = {1, 2, ..., n}$ . The $(n, k, r)$ -arrangement graph $A (n, k, r)$ with $1 \leq r \leq k \leq n$ , is the grap…

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…

On two conjectures about pattern avoidance of cyclic permutations

Automorphism group of the graph A(n,k,r)

A Note On The Cross-Sperner Families

Automorphism group of the graph $A (n, k, r)$