Title Lower and upper bounds on independent double Roman domination in trees Type of Research Article Keywords Lower and upper bounds on independent double Roman domination in trees Abstract Lower and upper bounds on independent double Roman domination in trees Researchers (First Researcher)، Hossein Abdollahzadeh Ahangar (Second Researcher)، Rana Khoeilar (Third Researcher)، Seyed Mahmoud Sheikholeslami Kavkani (Fourth Researcher)