Abstract: An endoluminal grafts is provided which is constructed to be radially collapsed and/or radially compressed to a small diameter. The graft has wireforms which generally comprise a wire deformed into generally annular configuration and consisting of a plurality of curvilinear wave forms. The wave forms have a plurality of first apices in linear alignment with each other, a plurality of second apices in linear alignment with each other, and a plurality of curvilinear segments traversing back and forth between said first and second apices. The graft is i) initially disposable in a radially compact configuration of a first diameter and ii) subsequently expandable to a radially expanded configuration of a second diameter, said second diameter being larger than said first diameter.