The right gastroepiploic artery is a branch of -
Right gastroepiploic artery → a branch of the gastroduodenal artery, which in turn is a branch of the common hepatic artery.
Left gastroepiploic artery → a branch of the splenic artery.
Right hepatic artery
Gastroduodenal artery
Hepatic artery
Superior mesenteric artery