Haywood was let go Jan. 1 after being charged with domestic violence in Indiana -- less than a month after he was tapped to replace the resigning Dave Wannstedt.
Pitt Athletic Director Steve Pederson said Graham "has a proven track record of success at all levels of football and his wealth of experience on both sides of the ball gives him a unique set of credentials."
Graham, 46, led Tulsa to a 36-17 record during four seasons there. He returned to the team after leading Rice to a 7-6 season in 2006, and before that served as an assistant head coach with Tulsa for three years and a defensive coach at West Virginia for two.
Celebrity Breakups and divorces of 2014 [PHOTOS]