Former Mayor Rudolph Giuliani's estranged wife, actress and cable hostess Donna Hanover, has officially filed for divorce, citing adultery, reports the Associated Press. The petition comes a year after Giuliani, 58, fired the first shot and filed to divorce Hanover, 52, citing cruel and inhuman treatment. Hanover's attorney, Helene Brezinsky, told the AP on Thursday that her client rejected the grounds on which Giuliani had based his claim. "If there's going to be a divorce, let's have the truth about why -- Rudy's open and notorious adultery," she said. (That declaration is emblazoned across Friday's front pages of New York's two tabloids, the News and the Post.) Giuliani spokeswoman Sunny Mindel told the AP: "There is no purpose in responding to this mudslinging." During the last months of Giuliani's two-term tenure, which concluded at the end of last year, his girlfriend, Judith Nathan, became the city's de facto first lady and appeared with him at official functions. The two are still very much together. Meanwhile, the jurist hearing the divorce, Judge Judith Gische, agreed on Thursday to boost the amount Giuliani must pay to support his two children with Hanover (Andrew, 16, and Caroline, 12) and for other expenses. The increases include an increase in child support from $1,800 to $2,400 a month. Gische, however, denied Hanover's request that the ex-mayor shell out an additional $1,140 a month to support the family pooch, a yellow Lab named Goalie.