Binzhou Xia

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math.CO2026

Asymptotic stability of Cayley graphs on abelian groups

Binzhou Xia, Zhishuo Zhang, Shasha Zheng

For a finite group $G$ , we say that a Cayley graph $Γ$ on $G$ is a most rigid representation (MRR) of $G$ if its full automorphism group has the smallest possible order among all C…

math.CO2025

The existence of unexpected automorphisms in direct product graphs

Xiaomeng Wang, Yan-Li Qin, Binzhou Xia

A pair of graphs $(Γ, Σ)$ is called unstable if their direct product $Γ \times Σ$ admits automorphisms not from $Aut (Γ) \times Aut (Σ)$ , and such automorphisms are said…