Woven graft having a taper with a re-engaged warp end

A tubular graft for use in a stent graft, the tubular graft comprising:

• a first woven layer, wherein the first woven layer forms a first side of the tubular graft, the first woven layer having a set of first warp ends;
• a second woven layer, wherein the second woven layer forms a second side of the tubular graft, the second woven layer having a set of second warp ends, wherein the set of second warp ends is distinct from the set of first warp ends;
• and
• a tapered portion having an edge, wherein the edge connects the first woven layer and the second woven layer,
• wherein the tapered portion includes a first weft thread, a second weft thread, and a third weft thread, the second weft thread being between the first weft thread and the third weft thread,
• wherein each of the first weft thread, the second weft thread, and the third weft thread extends through the first woven layer and the second woven layer,
• wherein the first weft thread and the third weft thread engage a first warp end at the edge of the tapered portion such that the first warp end is secured to the edge at the first weft thread and the third weft thread,
• wherein a floating portion of the first warp end extends from the first weft thread to the third weft thread such that the floating portion bypasses the second weft thread, and
• wherein a first set of warp ends are selectively removed from engagement with a first set of weft threads and then later re-engaged with a second set of weft threads before being permanently released, such that a seam established between the first layer and second layer is provided with enhanced characteristics.