Graham played collegiately for Bob Knight and the Indiana University Hoosiers, where he played alongside Calbert Cheaney, Alan Henderson and Damon Bailey.

They captured two Big Ten crowns in 1990–91 and 1992–93, and during the 1991–92 season reached the Final Four.

Selected by the Charlotte Hornets in the first round (17th pick overall) of the 1993 NBA draft, he played in five NBA seasons from 1993 to 1997 for the Philadelphia 76ers, New Jersey Nets, Seattle SuperSonics and Cleveland Cavaliers.

[1] He averaged 4.5 points per game in his NBA career Graham returned to his alma mater, Warren Central High School, to coach for 7 seasons, resigning in April, 2015 with a record of 80–74, when family considerations resulted in a move to Rhode Island.

His tenure at Warren Central included three appearances in the Marion County tournament championship.