Manchester – Democratic presidential candidate Hillary Clinton comes into the state this weekend riding atop a new American Research Group Inc. poll showing her with a 20-point lead over her closest rival, Illinois Sen. Barack Obama.

The same poll in July showed the two candidates in a dead heat at 31 percent apiece.

On the Republican side, former Massachusetts Gov. Mitt Romney has opened a lead over former New York City Mayor Rudy Giuliani -- 27 to 23 percent -- with Arizona Sen. John McCain favored by 12 percent and former Arkansas Gov. Mike Huckabee at 9 percent.

In July, Giuliani held a slight lead over Romney, 27 to 26 percent.

The poll done this week of the Democrats shows Clinton favored by 37 percent of the likely primary voters, while Obama has 17 percent and former vice presidential candidate John Edwards has 14 percent, the same as last month.

The remaining Democratic candidates are in single digits, while 16 percent remain undecided.

The poll sampled 600 likely voters -- 430 registered Democrats and 170 undeclared -- between Aug. 26 and 29 and has a margin of error of plus or minus 4 percent.

Clinton and her husband, former President Bill Clinton, will appear at rallies Sunday in Concord at the State House at 1 p.m. and in Portsmouth in Market Square at 6 p.m. Obama will appear Monday at a Labor Day Rally in Manchester in Veterans Memorial Park at 10 a.m. and at Milford and Hudson.

New Mexico Gov. Bill Richardson and Connecticut Sen. Chris Dodd will be in New Hampshire this weekend as well.

ARG polls done in Iowa show Clinton with a 28 to 23 percent lead over Obama, with Edwards at 20 percent, and in North Carolina Clinton has 32 percent, with Edwards at 24 percent and Obama at 21 percent.

In New Hampshire, this week's poll of the Republican candidates show unannounced candidates Fred Thompson with 8 percent and Newt Gingrich with 4 percent and no one else above 2 percent, while 13 percent are undecided.

The poll sampled 600 likely voters - 410 registered Republicans and 190 undeclared - between Aug. 26 and 29 and has a margin of error of plus or minus 4 percent.

The ARG polls showed Romney with a lead in Iowa with Giuliani second and Huckabee third, and in North Carolina, Giuliani with 26 percent, Thompson with 21 percent, McCain at 12 percent, and Romney and Huckabee with 9 percent.

Romney will be criss-crossing the Granite State Monday with appearances in Moultonborough, Ashland, Concord, Milford, Salem and Nashua.