Is Your State's Highest Paid Employee a Football Coach?

The sports news site Deadspin has an infographic with all 50 states and their highest paid public employee. In a lot of states it is the football or basketball coach at the big public university, while in a few other states it is the college president, law school dean, or medical school dean. It raises the question of why the top-paid state employee is a university official at all, rather than, say, the governor, or the chief justice of the state supreme court, or the head of the state police.