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Aberdeen's meeting with St Johnstone, Dundee v St Mirren and the match between Arbroath and Partick Thistle have been postponed.
The SPFL say the game at Pittodrie has been called off because of "stadium safety issues" while the Arbroath match is off due to "high winds".
The Dens Park game is off amid "stadium safety issues caused by the high winds".
There are 17 other SPFL fixtures scheduled for Saturday,
Ross County meet Rangers at 12:30 GMT before three more Premiership games games off at 15:00 - Celtic v Dundee United, Hearts v Motherwell and Hibernian v Livingston.
In the second tier, Hamilton v Ayr, Kilmarnock v Inverness and Queen of the South v Dunfermline are also at 15:00, along with full cards in Leagues 1 and 2.
