The Rams won their 10th straight game in what was their Atlantic-10 Conference opener.
Graham went 10-of-10 from the charity stripe and helped Virginia Commonwealth steadily pull away after owning only a one-point lead 5 minutes deep in the second half.
Juvonte Reddic scored 14 points and Troy Daniels added 12 for the Rams (13-3).
Kevin Dillard hit three from beyond the arc and scored 17 to lead Dayton (10-5).
Biologists detail four new deep-sea 'killer sponges'
Pregnant Mila Kunis wins 'Best Villain' at MTV Movie Awards