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Nine-man Dundee hung on to win a bad-tempered contest at Dens Park after the visitors missed a penalty kick.
Gary Harkins scored the decisive goal for the home side with a well-taken free-kick on 23 minutes.
Just after the hour Queens striker David Weatherston was toppled but Rab Douglas saved Derek Holmes' spot-kick.
Netan Sansara and Nicholas Riley each picked up two yellow cards but the visitors could do nothing with their advantage in the closing 15 minutes.
A disappointing start to the new season for Queens but lack of sharpness in front of goal was a deciding factor.
Queens Mad Man of the Match - Craig Reid - Solid game for Queens at the back.