Graft having at least one woven taper

1. An implantable graft, comprising:

a main section having walls formed with a woven fabric, the main section having a main lumen extending therethrough; and

a bifurcated section having walls formed with the woven fabric, wherein the bifurcated section extends from main section, wherein the bifurcated section includes a first branch and a second branch, and wherein the first branch and the second branch each include a branch lumen in fluid communication with the main lumen,

wherein at least one branch of the bifurcated section includes a branch taper formed by a seam connecting a first woven layer and a second woven layer, and

wherein a seam extension extends outwardly along the seam of the branch taper, the seam extension being a single-layer woven structure, and the single-layer woven structure comprising at least two adjacent warp ends woven with at least two adjacent weft threads.

2. The graft of claim 1 , wherein the seam extension includes a warp end that is included in one of the first woven layer and the second woven layer in the main section, and wherein the warp end exits the graft at the seam extension.

3. The graft of claim 1 , wherein the seam extension includes at least one weft thread that forms the first woven layer in the at least one branch and also at least one weft thread that forms the second woven layer in the at least one branch.

4. The graft of claim 1 , wherein the seam extension includes at least one warp end that forms the first woven layer in the main section and also at least one warp end that forms the second woven layer in the main section.

5. The graft of claim 1 , wherein the seam extension includes a meltable yarn having a melting point that is lower than a melting point of at least one warp end and at least one weft yarn.

6. The graft of claim 5 , wherein a portion of the meltable yarn extends diagonally relative to warp ends of the woven fabric.

7. The graft of claim 1 , wherein the seam extension has a higher thread density than both the first woven layer and the second woven layer in the at least one branch.

8. The graft of claim 1 , wherein the seam extension is trimmed.

9. The graft of claim 1 , wherein the seam extension includes at least one warp end that is excluded from the main section.

10. An implantable graft, comprising:

a woven fabric forming walls of a first tubular section and a second section, the first tubular section having a first diameter and the second section having a smaller second diameter;

a tapered section located between the first tubular section and the second section, wherein the tapered section decreases in diameter as it extends from the first tubular section to the second section; and

a seam extension extending from a seam of the tapered section, wherein the seam joins a first woven layer of the tapered section to a second woven layer of the tapered section, and wherein the seam extension includes a single-layer woven structure, and the single-layer woven structure comprising at least two adjacent warp ends woven with at least two adjacent weft threads.

11. The graft of claim 10 , wherein the seam extension includes a warp end that is included in one of the first woven layer and the second woven layer in the first tubular section, and wherein the warp end exits the graft at the seam extension.

12. The graft of claim 10 , wherein the seam extension includes at least one weft thread that forms the first woven layer in the tapered section and also at least one weft yarn that forms the second woven layer in the tapered section.

13. The graft of claim 10 , wherein the seam extension includes at least one warp end that forms the first woven layer in the first tubular section and also at least one warp end that forms the second woven layer in the first tubular section.

14. The graft of claim 10 , wherein the seam extension includes a meltable yarn having a melting point that is lower than a melting point of at least one warp end and at least one weft yarn.

15. The graft of claim 14 , wherein a portion of the meltable yarn extends diagonally relative to warp ends of the woven fabric.

16. The graft of claim 10 , wherein the seam extension has a higher thread density than both the first woven layer and the second woven layer.

17. The graft of claim 10 , wherein the seam extension is trimmed.

18. The graft of claim 10 , wherein the seam extension includes at least one warp end that is excluded from the first tubular section.

19. The graft of claim 10 , wherein the second section includes at least two branches.

20. An implantable graft, comprising:

a woven fabric forming walls of a first tubular section and a second section, the first tubular section having a first diameter and the second section having a smaller second diameter;

a tapered section located between the first tubular section and the second section, wherein the tapered section decreases in diameter as it extends from the first tubular section to the second section; and

a seam extension extending from a seam of the tapered section, wherein the seam joins a first woven layer of the tapered section to a second woven layer of the tapered section, and wherein the seam extension includes a single-layer woven structure,

wherein the seam extension includes a meltable yarn having a melting point that is lower than a melting point of at least one warp end and at least one weft yarn.