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Another perpetual and well-traveled winning coach is the offensive guru at SMU, Hal Mumme (pronounced "mummy"). The inventor of the "Air Raid" offense, he has turned around several programs over the years, and was coach when football was resurrected at Southeastern Louisiana.
Probably the low point in his career was when he was forced out as head coach of Kentucky following recruiting scandals, but it is worth noting that Mumme raised Kentucky to a competitive level, including a win against Alabama in 1996, their first since 1922. (Unlike the bigger SEC programs, UK was apparently expected to comply with NCAA rules.)
Mumme's overall record is 135-119-1, including a dismal 0-12 start-up year at NMSU in 2005.
The Wikipedia article doesn't mention it, but Mumme attended classes at UTA. Scott Highsmith, another football coach, was his roommate in 1972-73.