Jordy Tshimanga, who missed the first three home games with a knee injury, had eight points and five rebounds in his first game at UD Arena.
Dayton shot 59 percent from the field and held Houston Baptist (0-6) to 39 percent shooting.
The Flyers return to action at 4 p.m. Sunday against Saint Mary’s in Phoenix.
Toppin scored 13 points to lead the Flyers to a 49-42 halftime lead.
In their first game since the Maui Invitational last week, the Flyers got off to a slow start against one of the nation’s last winless teams. Houston Baptist led 20-11 at the 14:11 mark.
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Dayton trailed 35-30 when it took control with a 10-0 run. Jhery Matos hit two 3-pointers in that stretch.
Each team shot 56 percent from the field in the first half. Houston Baptist made 5 of 8 3-pointers.
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Jalon Gates, who entered the game with a 17.8 scoring average, scored 16 in the half for the Huskies.
Tshimanga made his UD Arena debut and appeared in his third Dayton game. He had four points in the half.