Title Graphs with Large Total 2-Rainbow Domination Number Type of Research Article Keywords 2-rainbow dominating function 2-rainbow domination number Total 2-rainbow dominating function Total 2-rainbow domination number Abstract Graphs with Large Total 2-Rainbow Domination Number Researchers hossein ahangar (First Researcher)، (Second Researcher)، Nader Jafari Rad (Third Researcher)، Seyed Mahmoud Sheikholeslami Kavkani (Fourth Researcher)