Sanming Zhou

activity

20182022

most citedStability of pair graphs

4 citations · 4 across the 3 of their papers we have counts for

collaborators

6 papers

math.CO2022

Stability of graph pairs involving vertex-transitive graphs

Yan-Li Qin, Binzhou Xia, Sanming Zhou

A pair of graphs $(Γ, Σ)$ is said to be stable if the full automorphism group of $Γ \times Σ$ is isomorphic to the product of the full automorphism groups of $Γ$ and $Σ$ and unstable…

math.GR2022

Cubic graphical regular representations of some classical simple groups

Binzhou Xia, Shasha Zheng, Sanming Zhou

A graphical regular representation (GRR) of a group $G$ is a Cayley graph of $G$ whose full automorphism group is equal to the right regular permutation representation of $G$ . In t…

math.CO2020★ 4 cited

Stability of pair graphs

Yan-Li Qin, Binzhou Xia, Jin-Xin Zhou +1

We start up the study of the stability of general graph pairs. This notion is a generalization of the concept of the stability of graphs. We say that a pair of graphs $(Γ, Σ)$ is st…

math.CO2019

An explicit characterization of arc-transitive circulants

Cai Heng Li, Binzhou Xia, Sanming Zhou

A reductive characterization of arc-transitive circulants was given independently by Kovacs in 2004 and the first author in 2005. In this paper, we give an explicit characterizatio…

math.CO2018

Canonical double covers of generalized Petersen graphs, and double generalized Petersen graphs

Yan-Li Qin, Binzhou Xia, Sanming Zhou

The canonical double cover $\D(Γ)$ of a graph $Γ$ is the direct product of $Γ$ and $K_{2}$ . If $\Aut(\D(Γ))\cong\Aut(Γ)\times\ZZ_2$ then $Γ$ is called stable; otherwise $Γ$ is called…

math.CO2018

Stability of circulant graphs

Yan-Li Qin, Binzhou Xia, Sanming Zhou

The canonical double cover $D (Γ)$ of a graph $Γ$ is the direct product of $Γ$ and $K_{2}$ . If $Aut (D (Γ)) = Aut (Γ) \times Z_{2}$ then $Γ$ is cal…