Quasi-isometry classification of RAAGs that split over cyclic subgroups

For a one-ended right-angled Artin group, we give an explicit description of its JSJ tree of cylinders over infinite cyclic subgroups in terms of its defining graph. This is then used to classify certain right-angled Artin groups up to quasi-isometry. In particular, we show that if two right-angled Artin groups are quasi-isometric, then their JSJ tree of cylinders are weakly equivalent. The converse to this is not necessarily true. However, for a large class of right-angled Artin groups, one can define quasi-isometry invariants known as stretch factors. We then show that two such right-angled Artin groups are quasi-isometric if and only if their JSJ tree of cylinders are weakly equivalent and have matching stretch factors.