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Let $G$ and $G'$ be two right-angled Artin groups (RAAG). We show they arequasi-isometric iff they are isomorphic, under the assumption that $Out(G)$ and$Out(G')$ are finite. If only $Out(G)$ is finite, then $G'$ is quasi-isometric$G$ iff $G'$ is isomorphic to a finite index subgroup of $G$. In this case, wegive an algorithm to determine whether $G$ and $G'$ are quasi-isometric bylooking at their defining graphs.

Quasi-isometric classification of right-angled Artin groups I: the finite out case