In some embodiments, a stent comprises a side branch structure defining an inner side branch cell. The inner side branch cell has a shape that is different from any other cell of the stent. The stent further comprises first and second support members, which are positioned on opposite sides of the side branch structure. The first and second support members each have a strut width that is greater than the width of a strut included in the side branch structure. The stent further comprises first and second connecting members, which are positioned on opposite ends of the side branch structure. Each connecting member is connected at one end to the first support member and is connected at the other end to the second support member. Each connecting member comprises a serpentine structure having a plurality of straight struts and turns. One or both of the connecting members includes at least one straight strut that has a length that is at least ten times its width. In some embodiments, each connecting member comprises at least four struts that have a length that is at least then times their width.