Who plays who?

Of the five favorites:
UTA: Plays just one game against Troy, USA, AState, LR
GS: Plays Louisiana, ULM, Coastal and App just once
GSU: Same as GS
LA: Plays Coastal, App and the Georgia schools just once
Troy: Plays the Arkansas Schools and Texas schools just once

The Arkansas schools play Texas and Alabama just once
App and Coastal play Louisiana and Georgia just once
Texas State is the same as UTA
ULM is the same as Louisiana
South Al is the same as Troy