Canonical double covers of circulants

Blas Fernandez, Ademir Hujdurović

The canonical double cover $B(X)$ of a graph $X$ is the direct product of $X$ and $K_2$. If $Aut(B(X))\cong Aut(X)\times {\mathbb{Z}}_2$ then $X$ is called stable; otherwise $X$ is…