Binzhou Xia

collaborators

3 papers

math.GR2026

On automorphism groups of half-arc-transitive tetravalent graphs

Yuandong Li, Binzhou Xia, Jin-Xin Zhou

We characterize connected tetravalent graphs $I^$ which admit groups $M < H$ of automorphisms such that $I^$ is $M$ -half-arc-transitive and $H$ -arc-transitive. Examples for each case…

math.CO2026

The existence of unexpected automorphisms in direct product graphs

Xiaomeng Wang, Yan-Li Qin, Binzhou Xia

A pair of graphs $(I^, I^£)$ is called unstable if their direct product $I^ \times I^£$ admits automorphisms not from $Aut (I^) \times Aut (I^£)$ , and such automorphisms ar…

math.CO2026

Almost all standard double covers of abelian Cayley graphs have smallest possible automorphism groups

Binzhou Xia, Zhishuo Zhang, Shasha Zheng

The standard double cover of a graph $I^$ is the direct product $I^ \times K_{2}$ . A graph $I^$ is said to be stable if all the automorphisms of $I^ \times K_{2}$ come from its factors.…