Updated

A body found stuffed in the wall of a Yale university building has been indentified as missing graduate student Annie Le, New Haven police said Monday.

Authorities, who have ruled Le's death a homicide, said they do not believe the 24-year-old bride-to-be was a random target.

Le was last seen on surveillance video Tuesday entering the five-story laboratory building in Yale's medical complex, where she worked as a graduate pharmacology student.

Police told the Associated Press Monday that the killing of the person whose body was found in the wall was "not a random act" — and said they don't believe that anyone else on the campus is in danger.

Authorities on Saturday also found bloody clothes above floor tiles in the basement of the building, which police sources say likely belonged to the killer.

Yale President Richard Levin offered support to Le's family and her fiance, Columbia University graduate student Jonathan Widawsky. The couple was to marry Sunday in Syosset, N.Y., on Long Island's north shore.

"The family and fiance and friends now must suffer the additional ordeal of waiting for the body to be positively identified," Levin said.

The university has also planned an evening prayer vigil for Le at 8 p.m. Monday on Yale's main campus. An e-mail sent to the Yale community invites participants to "bring a candle and join us in solidarity," the Yale Daily News reported.

In an e-mail statement sent to FOXNews.com, Yale's vice president Linda Lorimar said the university was taking extra security precautions — including added security personnel and a new bicycle patrol — to ensure students' safety.

Police on Monday would not say if they have any suspects. They previously have said Widawsky is not a suspect and is assisting with the investigation. New Haven Assistant Police Chief Peter Reichard said police recovered "a large amount" of physical evidence, but he would not discuss what that included.

Last winter, Le, of Placerville, Calif., wrote a magazine article about how to stay safe around Yale's campus.

The article, titled "Crime and Safety in New Haven," was published in February in a magazine produced by the university's medical school. It compares higher instances of robbery in New Haven with cities that house other Ivy League schools and includes an interview with Yale Police Chief James Perrotti, who offers advice such as "pay attention to where you are" and "avoid portraying yourself as a potential victim."

"In short, New Haven is a city and all cities have their perils," Le concludes. "But with a little street smarts, one can avoid becoming yet another statistic."

Le was reported missing last Tuesday. Surveillance video shows her arriving at around 10 a.m., but police could find no video of Le leaving, despite some 75 surveillance cameras operating around the complex. Her ID, money, credit cards and purse were found in her third-floor office.

More than 100 local, state and federal police had been searching the building for days, using blueprints to uncover any place where evidence or Le's body could be hidden.

On Sunday morning, a state police van drove down a ramp into the building's basement area. Authorities also sifted through garbage at a Hartford incinerator Sunday, looking through trash that was taken from the building in the days since Le went missing.

Le's disappearance weighed heavily on Yale students, who prayed for her safe return Sunday at The University Church on Yale's campus.

"It has brought up a lot of fears for people," the Rev. Ian Buckner Oliver said just before he gave the Sunday morning sermon. "It has brought up a lot of worry and concern for her and for all our safety."

Bjorn Cooley, a 20-year-old Yale student from Oregon, said he heard the news that a body had been found while studying in his room Sunday night.

"Before they found the body, I still had hope she had just disappeared," Cooley said. "I was looking for some sort of quasi-happy ending to this whole thing."

Click here for more on this story from FOX61.com.

FOX News' Rick Leventhal and the Associated Press contributed to this report.