right gastroepiploic If the gastroduodenal artery and its branches were ligated, blood would flow in a retrograde direction from the left gastroepiploic artery, which is a branch of the splenic artery, to the right gastroepiploic artery, a ligated branch of the gastroduodenal artery. This flow from the left to right gastroepiploic artery would allow blood to reach the entire greater curvature of the stomach. Remember--there are many anastomoses around the stomach that will allow this organ to receive blood even if one branch is ligated.
The left hepatic artery is a branch of the proper hepatic artery; it supplies blood to the left and quadrate lobes of the liver, as well as part of the caudate lobe. The short gastric arteries are branches of the splenic artery which supply the fundus of the stomach. The left gastric artery is a branch of the celiac trunk which supplies the left portion of the lesser curvature. Omental branches are branches of the left and right gastroomental arteries which supply the greater omentum.