[3] Kullman made his professional ice hockey career debut with the Boston Bruins American Hockey League (AHL) affiliate, the Hershey Bears, during the 1948–49 AHL season.

[2] In the following season, he was called up for a 14 game stint with the Boston Bruins of the National Hockey League, but was subsequently returned to Hershey on January 11, 1950.

[4] Kullman continued his dominance of the American Hockey League and recorded seven consecutive 20 goal seasons until 1956.

[5] Although his game slid after the 1955–56 season, he remained one of the few active 200 goal scorers and played on the Bears' penalty kill.

[6] At the time of his retirement, Kullman ranked second in games played and goals, third in points, and fourth in assists.