Mississippi State (2-4) shot 40 percent from the field (18 of 45) and hit 22 of 33 free throws, shaking off a 0-3 effort at the Maui Invitational last week.
Alcorn State (2-5) struggled to hit 15 of 51 shots from the field (29.4 percent).
Sword finished 4-of-8 from the field and hit 5 of 9 free throws to go with five steals.
Thomas was 0 of 4 from 3-point range, but finished 5 of 12 from the field.
As a team, Mississippi State was 2 of 13 from beyond the arc.
Mississippi State opened the game on a 13-2 run and led 37-21 at halftime. The Bulldogs dominated the second half and trailed only once on the opening bucket of the game.
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There's nothing to suggest the Jayhawks won't end up atop the Big 12 for a 13th season in a row. But what about a return to the Final Four?
Colorado State graduate transfer John Gillon has chosen Syracuse, giving the Orange a potential starter at point guard entering the 2016-17 season.
DeSean Murray, who averaged 20.2 points as a sophomore at Presbyterian, will transfer to Auburn to play for coach Bruce Pearl.