Junyang Zhang

collaborators

2 papers

math.CO2025

On subgroup perfect codes in vertex-transitive graphs

Binzhou Xia, Junyang Zhang, Zhishuo Zhang

A subset $C$ of the vertex set $V$ of a graph $I^$ is called a perfect code in $I^$ if every vertex in $V ∖ C$ is adjacent to exactly one vertex in $C$ . Given a group $G$ an…

math.GR2024

A complete classification of shuffle groups

Binzhou Xia, Junyang Zhang, Zhishuo Zhang +1

For positive integers $k$ and $n$ , the shuffle group $G_{k, k n}$ is generated by the $k!$ permutations of a deck of $k n$ cards performed by cutting the deck into $k$ piles with $n$ …