The present invention provides apparatus and methods for a conduit, such as an implantable conduit for a vessel. The conduit may comprise a main member and a side-branch member. The conduit may be implanted with the side-branch member initially disposed within the main member. When positioned, the side-branch member may then be extended from within the main member and into a vessel side-branch. The materials for the conduit may include circumferentially distensible and/or low recoil materials. The materials for the conduit may be constructed by various techniques and may include materials with enhanced flexibility and kink resistance.