Djokovic has a first-round bye at the first event of the European clay-court season, and is scheduled to begin his campaign against either Florent Serra or fellow Frenchman Stephane Robert.
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Nadal, who was given a first round bye, recovered from losing an opening tie-break to defeat his opponent 6-7 6-2 6-2, setting-up a fourth round showdown with compatriot David Ferrer.
After a first-round bye he faces Welshman Richard Morgan in round two on Tuesday morning.
Second seed Djokovic, who had a first-round bye, was surprisingly beaten 6-2 6-7 (7-9) 6-4 by Belgian Olivier Rochus on Friday.
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The 30-year-old Italian, who received a first-round bye, is having her best season after fourth-round finishes at the French and US Opens.
The American, who defeated Timea Bacsinszky of Switzerland in her opening match on Tuesday after a first-round bye, will next face Maria Kirilenko.
Yan, ranked 465, stunned world number 30 Radek Stepanek in round one but Murray, who was given a first-round bye, proved far too strong.
Fourth seed Andy Murray, fresh from his Rogers Cup victory in Toronto on Sunday, received a first-round bye, alongside the other top eight players in the world.
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Nadal has a first-round bye in Abu Dhabi, then plays the winner of the match between U.S. Open and Olympic champion Andy Murray and ninth-ranked Serbian Janko Tipsarevic.
The top names in the field -- world No. 2 Novak Djokovic, five-time champion Rafael Nadal and third seed Andy Murray -- begin their campaigns on Wednesday after being handed a first-round bye.
The world No. 7, last year's runner-up to Amelie Mauresmo, has a first-round bye and will begin her title bid against Iveta Benesova of the Czech Republic or fellow Russian Anastasia Pavlyuchenkova, who meet on Tuesday.
The 26-year-old will take to the court on Tuesday for a doubles match, then start his singles campaign the following day after receiving a first-round bye as the top seed in the draw despite slipping to fifth in the world rankings.
The Russian, who had a bye in the first round as did all the top eight seeds, will face compatriot Regina Kulikova in the last 16.
The Thai player, who was given a bye in the first round, celebrated becoming the first Asian ever to reach the world's top ten on Monday, but he could not justify his high seeding against clay-court specialist Sanchez.
The Italian upset world number 17 Nicolas Almagro in the first round but it was soon apparent that the 23-year-old was a little out of his depth against Murray, who had received a bye in the first round.
But the visitors never looked like getting them once Schofield was run out by wicketkeeper Gareth Cross trying to run a bye off Smith's first ball.
World number two Jelena Jankovic is looking forward to her first match in Cincinnati after being given a bye into the second round.
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This is the first week of the NFL season where teams have a bye (Indianapolis and Pittsburgh have the week off).
The victory halted a three-game losing streak for Syracuse (23-6, 11-5 Big East) and gave the Orange the third seed and a double-bye for the Big East tournament as they seek their first NCAA bid since 2008.
The victory snapped a three-game losing streak for Syracuse (23-6, 11-5 Big East) and gave the Orange the third seed and a double-bye for the Big East tournament as they seek their first NCAA bid since 2008.
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