William Edward Dixon Graham (June 30, 1904 in Owen Sound, Ontario – January 11, 1979) was a Canadian ice hockey defenceman.

Dixon played ten seasons in the National Hockey League (NHL) for the Chicago Black Hawks, Montreal Maroons, Detroit Red Wings, St. Louis Eagles, Boston Bruins and New York Americans between 1927 and 1937.

Prior to turning professional Graham played for the Owen Sound Greys, winning the 1924 Memorial Cup as Canadian junior champions.

[2] He played for the team for one year, and after they folded Graham moved cross-town to the Chicago Black Hawks of the National Hockey League (NHL).

He reached the finals again in 1934 with Detroit, joined by former Owen Sound teammate Cooney Weiland, but lost to the Black Hawks.