Zheng's compatriot Li Na followed her into the quarterfinals on Monday after stunning fourth-seeded Dane Caroline Wozniacki in straight sets.
Latvia's Gulbis, seeded 24th, lost in straight sets to Jeremy Chardy , 28th seed Radek Stepanek lost 6-4 6-2 4-6 6-4 to Julien Benneteau and 30th seed Juan Monaco was sent packing by Canada's Peter Polansky in straight sets.
In the early matches, fifth-seeded Amelie Mauresmo eliminated Russian Tatiana Panova in straight sets 6-4 6-3.
Bucknell is the top seed for the third straight year and opens against last-place and eighth-seeded Navy.
The second-seeded Spaniard, who is bidding for a sixth straight Monaco title, has not suffered defeat in Monaco since losing in the third round to Argentine Guillermo Coria in 2003.
Third-seeded Jelena Jankovic showed improved form as she beat Yulia Putintseva in straight sets, dropping only one more game from 3-3 in the first set to win 6-3 6-1.
The Buckeyes' 10th straight win sent them to Los Angeles for a game on Thursday against sixth-seeded Arizona.
Cleanthony Early and Ron Baker scored 16 points apiece and Wichita State hit five straight 3-pointers late to knock the top-ranked and No. 1 seeded Bulldogs out of the NCAA tournament 76-70 on Saturday.
Russ Smith scored 23, Gorgui Dieng had 14 points, 11 rebounds and four blocks, and top-seeded Louisville put aside the shock from Ware's gruesome leg injury to earn a second straight trip to the Final Four with an 85-63 victory over Duke on Sunday afternoon.
The sixth-seeded Berdych , runner-up at Wimbledon last year, was another in cruise-control in a straight-sets triumph over Spaniard Verdasco, ranked nine, in a match that last just under two hours.
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