A multi-component endovascular stent-graft system (10) includes a body portion (16), which includes a plurality of stent-grafts (20), which include: (a) respective stent members (22), which are shaped, when the stent-grafts (20) are in respective radially-expanded states, so as to define respective tubes, each of which is circumferentially complete at at least one longitudinal location therealong and (b) respective graft members (24), which circumscribe respective circumferential arcs (40) of the respective stent members (22). The circumferential arcs (40) have respective extents that are less than entire circumferences of the respective stent members (22) at least partially along respective axial lengths of the stent members (22).