He was honored in 1991 as the Frank J. Selke Trophy winner for outstanding defensive play by a forward.

[1] Graham was selected 89th overall by the Vancouver Canucks in the 1979 NHL Entry Draft after spending four years with the Regina Pats in the Western Hockey League.

This caught the attention of some, and he was signed as a free agent by the Minnesota North Stars after never playing a game with the Canucks.

He recorded consecutive 20 goal seasons in Minnesota and was chosen to represent Team Canada in the 1987 World Ice Hockey Championships.

[3] Shortly after retiring, Graham served as assistant coach for Craig Hartsburg with the Chicago Blackhawks.