Title Further Progress on the Total Roman {2}-Domination Number of Graphs Type of Research Article Keywords Further Progress on the Total Roman {2}-Domination Number of Graphs Abstract Further Progress on the Total Roman {2}-Domination Number of Graphs Researchers Hossein Abdollahzadeh Ahangar (First Researcher)، Mustapha Chellali (Second Researcher)، Maryam Hajjari (Third Researcher)، Seyed Mahmoud Sheikholeslami Kavkani (Fourth Researcher)