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Neil Robertson, Stephen Lee and Shaun Murphy also went through, as did Ireland's Ken Doherty.
BBC: Hendry came from behind to beat McCulloch
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Australian Neil Robertson earned a 7-2 lead over veteran Nigel Bond .
BBC: Higgins books spot in round two
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Australia's Neil Robertson beat Ireland's Fergal O'Brien 5-2, world number five John Higgins beat Tom Ford 5-4 and Joe Perry beat Matthew Stevens 5-1.
BBC: O'Sullivan progresses in Shanghai
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Dott now faces fellow Scot John Higgins, who eased past Australia's Neil Robertson, the player who beat him at the Welsh Open in January.
BBC: Dott thrashed Ronnie O'Sullivan 5-0 in the previous round
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Also on Friday, Neil Robertson and Ken Doherty will lock horns for a place in the semi-finals after Australian Robertson beat Ulsterman Joe Swail 4-2.
BBC: CHOOSE A SPORT
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Meanwhile defending champion Neil Robertson has qualified for the last 16.
BBC: SPORT | Other sport... | Snooker | Higgins given tough test by Roe
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Neil Robertson, the chief executive of Trada, a Boulder, Colo.
WSJ: Small firms, Start-ups Drive Crowdsourcing Growth
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Earlier, defending champion Neil Robertson crashed out after a 4-2 defeat in his final group match against Stephen Lee, Joe Perry beat Joe Swail 4-2 to finish runner-up in their group.
BBC: CHOOSE A SPORT
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Neil Robertson, a tech entrepreneur who blogs and runs a paid-search marketplace firm called Trada, just came up with this term I love called halfnimity, or that middle zone online between anonymity and real identity.
FORBES: Halfnimity: a name you need to know
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The winning team was made up of Chris Jardine, David Owen, Thomas Sloan, Chalmers Porteous, Graham Black, Graham Sloan, Neil Henderson, Ruaraidh Whyte, Scott Robertson, and Stuart Henderson.
BBC: Dumfries curlers retake world record for longest match
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United composed themselves and Paul Dixon's whipped cross found David Robertson, whose downward header was claimed by Rangers goalkeeper Neil Alexander.
BBC: Dundee United 0-3 Rangers