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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Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.