There is now an ongoing war of words on the topic of immigration between the newly elected New York Democrat Alexandria Ocasio-Cortez (D-N.Y.) and longtime Republican Sen. Lindsey Graham (R-S.C.).

Ocasio-Cortez, 29, responded to a tweet on Monday from Graham, in which he suggested to her that she “take a tour of the Holocaust Museum.”

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He tweeted that shortly after she somehow tried to compare the Central American migrants who are amassing at the border of the U.S. and Mexico — a group that the Department of Homeland Security has said includes more than 600 convicted criminals — to all of the Jewish families who desperately fled for their lives from Nazi Germany.

“This administration has jailed children and violated human rights. Perhaps we should stop pretending that authoritarianism + violence is a historical event instead of a growing force,” she tweeted at Graham.

Earlier on Monday, Graham had also tweeted about Ocasio-Cortez, “I recommend she take a tour of the Holocaust Museum in DC.”

“Might help her better understand the differences between the Holocaust and the caravan in Tijuana.”

His comment was in response to a Sunday tweet by Ocasio-Cortez in which she wrote of the migrants, “Asking to be considered a refugee & applying for status isn’t a crime.”

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“It wasn’t for Jewish families fleeing Germany,” Ocasio-Cortez also tweeted.

“It wasn’t for targeted families fleeing Rwanda. It wasn’t for communities fleeing war-torn Syria. And it isn’t for those fleeing violence in Central America.”

Related: Graham Blasts Ocasio-Cortez for Her Holocaust-Migrants Comparison

She also had another jab for the Republican senator, in an apparent reference to his joking comment back in October that it would be “terrible” if he were ever found to have Iranian heritage.

She suggested he visit the Smithsonian Museum of African-American History and Culture.

Thousands of migrants from Central America — most of whom are young, single men — have crossed into Mexico with the intention of crossing the border into the U.S.

Approximately 6,000 U.S. troops have been helping to bolster border security efforts in anticipation of the migrants’ arrival — and Secretary of Defense Jim Mattis said last Wednesday that Trump had given him the authority to use lethal force, if necessary, to guard the safety and well-being of U.S. Customs and Border Protection (CBP) personnel.

The CBP also revealed that some migrants “attempted to illegally enter the U.S.” over the weekend, noting that “those persons were stopped and turned back to Mexico.”

Department of Homeland Security Secretary Kirstjen Nielsen released a statement on Monday evening to dispel “rumors and much of the misinformation” regarding Sunday’s clash between border authorities and migrants at the San Ysidro Port of Entry in Calif.

Hundreds of migrants from the leading Central American caravan pushed past Mexican riot police Sunday afternoon to rush for the border.

Some migrants appeared to throw rocks at U.S. authorities while border agents fired several rounds of tear gas.

The violence was “entirely predictable,” Nielsen said, given the caravan’s confrontation with Mexican authorities in recent weeks.

She said the caravan, which comprises 8,500 people from Guatemala, Honduras and El Salvador, is now in Tijuana and Mexicali, with an additional caravan on the way.

Related: Congress Should Step Up and Give Trump $5 Billion in Border Wall Funding

The “overwhelming majority of these individuals are not eligible for asylum in the United States under our laws,” she said.

Historically, only 10 percent of asylum seekers from those countries are not eligible for asylum, she also suggested.

Check out this segment from “The Ingraham Angle” on Fox News from Monday night about the migrant caravan crisis: