Houston shot 53.8 percent (35 of 65) from the floor and made 11 of its 18 attempts from 3-point range. The Cougars enjoyed a 52-25 rebounding advantage.
Young had seven points and Harris six during a 19-5 run over a 5:15 second-half stretch that gave Houston permanent control. A dunk by Thomas ended the surge and gave the Cougars a 70-50 lead with 10:04 remaining.
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.
Purdue's 2016-17 prospects got a jolt Wednesday when forward Caleb Swanigan announced he will return for his sophomore season.