Jimmy Howard made 28 saves and Nicklas Lindstrom assisted on both Detroit goals.
The Blue Jackets took a 1-0 lead at 12:10 of the first period when Vermette knocked in a rebound off a shot by Jakub Voracek.
Bertuzzi tied it at 6:38 of the second period on a 2-on-2 breakaway. He made the game-winning shot at 2:44 of the third period.
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