ALBANY, N.Y. (AP) _ Rudolph Giuliani's slight lead over Senate rival Hillary Rodham Clinton has waned in light of another fatal shooting by New York City police, according to a poll released today _ the third such results in 10 days.

The new poll, from the Quinnipiac College Polling Institute, had the first lady favored by 46 percent of registered voters while 43 percent backed the New York mayor.

Polls released last week from Zogby International for the New York Post and from Marist College's Institute for Public Opinion had similar results.

Giuliani led Clinton in the race, 48 percent to 41 percent, in a March 2 poll from the Hamden, Conn.-based Quinnipiac institute.

Since then, the Republican mayor has come under heavy criticism for his handling of the police shooting last month of Patrick Dorismond, an unarmed black man.

``It's the first time in months that Mrs. Clinton has been on the plus side in this very close race and there's a one-word explanation _ Dorismond,'' said Maurice Carroll, director of the polling institute.

Giuliani campaign spokeswoman Juleanna Glover Weiss said the results were unsurprising, ``in light of the recent media coverage.''

The telephone poll of 1,058 registered voters was conducted March 28-April 3 and has a margin of error of plus or minus 3 percentage points.

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On the Net: Quinnipiac College site: http://www.quinnipiac.edu/news

Hillary Rodham Clinton campaign site: http://www.hillary2000.org

Rudolph Giuliani campaign site: http://www.rudyyes.com