Title A proof of a conjecture on the paired-domination subdivision number Type of Research Article Keywords A proof of a conjecture on the paired-domination subdivision number Abstract A proof of a conjecture on the paired-domination subdivision number Researchers Zehui Shao (First Researcher)، Seyed Mahmoud Sheikholeslami Kavkani (Second Researcher)، Mustapha Chellali (Third Researcher)، Rana Khoeilar (Fourth Researcher)، hossein karami (Fifth Researcher)