Sanming Zhou

activity

20122026

most citedCanonical double covers of generalized Petersen graphs, and double generalized Petersen graphs

10 citations · 34 across the 20 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.CO2025

Perfect codes in Cayley graphs of Hajós groups

Yusuf Hafidh, Binzhou Xia, Sanming Zhou

A perfect code in a graph $Γ$ is a subset $C$ of the vertex set of $Γ$ such that every vertex of $Γ$ outside $C$ has exactly one neighbour in $C$ . A perfect code in a directed grap…

math.CO2025

Which maximal subgroups are perfect codes?

Shouhong Qiao, Ning Su, Binzhou Xia +2

A perfect code in a graph $Γ = (V, E)$ is a subset $C$ of $V$ such that no two vertices in $C$ are adjacent and every vertex in $V ∖ C$ is adjacent to exactly one vertex in $…

math.CO2025

Determining the vertex stabilizers of 4-valent half-arc-transitive graphs

Binzhou Xia, Zhishuo Zhang, Sanming Zhou

We say that a group is a $4$ -HAT-stabilizer if it is the vertex stabilizer of some connected $4$ -valent half-arc-transitive graph. In 2001, Marušič and Nedela proved that every $4$ …