Kansas and Boston College barely remained unbeaten. Shelden Williams made sure Duke had a much easier night.

The junior forward scored a career-high 30 points and the Blue Devils shot 61 percent in a 92-83 victory over Miami Wednesday, showing the ACC newcomer that the league isn't so easy after all.

Williams went 11-for-12 from the field, 8-for-8 from the free-throw line and grabbed seven rebounds in 37 minutes.

"We're getting the ball to him as much as we can," teammate Daniel Ewing said. "When he has it, pretty much no one can stop him down there one-on-one."

J.J. Redick added 21 points and Ewing scored 16 in 40 minutes for No. 4 Duke (14-0, 4-0 ACC), one of four undefeated teams in Division I.

Two others nearly went down Wednesday night.

Second-ranked Kansas hung on for a 59-57 victory when Nebraska's Corey Simms missed an open 3-pointer with 2.6 seconds left.

And No. 9 Boston College trailed by six with 2 minutes to go before rallying past Villanova 67-66 on Jared Dudley's go-ahead free throws with 5.5 seconds remaining.

"It just shows the will to win," Dudley said.

At Coral Gables, Fla., the Blue Devils made 10 3-pointers and shot 31-of-51 overall to finish above 50 percent for the third consecutive game.

The Hurricanes (12-4, 3-2) had won their past three conference games, but fell behind early and trailed by 19 with 10 minutes left.

"We're getting to our destination on a side street, not a superhighway," Duke coach Mike Krzyzewski said. "We know who we are. We're not an outstanding team, but we're a good team, and we're trying to get better."

At Lawrence, Kan., Wayne Simien scored all 12 of his points in the second half and Kansas (14-0, 4-0 Big 12) edged Nebraska despite a shaky and sloppy performance.

The Cornhuskers (8-6, 2-2) went for the win and not the tie on their final shot. Simms missed a 3-pointer with the clock winding down, and Alex Galindo hugged the rebound to his chest as the buzzer sounded.

"We got lucky. He had a wide-open look," Kansas' Michael Lee said. "You can't draw it up any better than that for a game-winning shot."

At Boston, Dudley scored a career-high 36 points - topping his previous best of 24 by halftime - and Boston College (15-0, 4-0 Big East) scored the last seven points of the game to beat Villanova (9-4, 2-3).

The Eagles have played a lot of close games this season, including overtime against Holy Cross, double overtime against Yale and a buzzer-beater to defeat Kent State.

"I know we've put ourselves in that situation, and we've had success," coach Al Skinner said. "But we don't want to play that way."

No. 6 North Carolina 77, Clemson 58

At Clemson, S.C., Rashad McCants scored 17 of his 23 points in the second half and North Carolina overcame a sluggish start.

Early on, McCants and the rest of the Tar Heels (15-2, 4-1 Atlantic Coast Conference) looked as if they were still thinking about Saturday's loss at Wake Forest. But McCants hit consecutive 3-pointers to close a 19-7 run at the start of the second half that put North Carolina ahead to stay, 46-34, with 12:07 left.

Point guard Raymond Felton added 11 points and 10 rebounds for the Tar Heels, who had won 14 straight before falling to the Demon Deacons.

No. 8 Kentucky 53, Mississippi 50

At Oxford, Miss., freshman Rajon Rondo scored 11 of his 13 points in the second half and Kentucky rallied from a 15-point deficit.

Ole Miss had the ball trailing 51-50 in the final moments, but Kendrick Fox missed a 3-pointer with 19 seconds to play and Kentucky's Patrick Sparks hit two free throws to extend the lead to three.

Londrick Nolen's desperation 3-pointer at the buzzer bounced off the back iron, giving the Wildcats (13-2, 4-0 Southeastern Conference) their second big comeback win of the season and ninth victory in 10 games. Kelenna Azubuike had 11 points for Kentucky, held to its lowest point total of the season.

No. 14 Louisville 92, East Carolina 41

At Louisville, Ky., reserve guard Brandon Jenkins scored a career-high 14 points and backup forward Otis George had 13 points and 10 rebounds to lead Louisville.

Taquan Dean scored 13 and Juan Palacios had 12 points and 10 rebounds for the Cardinals (15-3, 4-1 Conference USA), who dominated from the start, propelled by sharp 3-point shooting and suffocating full-court pressure.

No. 20 Cincinnati 80, Charlotte 58

At Cincinnati, Nick Williams scored 19 of his career-high 22 points in the second half, steadying the Bearcats.

Jason Maxiell had 23 points and Eric Hicks grabbed 13 rebounds as Cincinnati (15-2, 4-1 Conference USA) rebounded from a three-point loss to Louisville on Saturday, when the Bearcats blew a 17-point lead because of poor rebounding and free-throw shooting.