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Jeff Tuttle, Associated Press
Baylor center Brittney Griner (42) celebrates with the Baylor cheerleaders after the victory over Texas A&M in an NCAA college basketball championship game at the women's Big 12 Conference tournament, Saturday, March 10, 2012 in Kansas City, Mo. Baylor won the game 73-50.

WACO, Texas — Brittney Griner and undefeated Baylor are the undisputed No. 1 overall seed in the NCAA women's tournament.

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The Big 12 champion Lady Bears (34-0), who could become the NCAA's first 40-win team if they win their second national title, open against Big West Conference tournament champion UC-Santa Barbara (17-15). The first-round game is Sunday at Bowling Green, Ohio.

Baylor, the 2005 national champion, made it to the Final Four two years ago in Griner's freshman season and to a regional final last year.

This is Baylor's 11th NCAA tournament, all in coach Kim Mulkey's 12 seasons.

The Lady Bears have wins this season over Connecticut and Notre Dame, also No. 1 NCAA seeds, and Tennessee, which is in the No. 2 seed in Baylor's bracket.