中文摘要：

根据Pa×Cm的结构特点，利用配对控制数的定义、归纳法及反证法，确定了路与圈的笛卡尔乘积图Pa×Cm（m=3，4）的配对控制数．

英文摘要：

Based on the structure ofPa×Cm and the definition of paired domination number, by using the induction and contradiction method, it was determined the ofPa×Cm（m =3,4）. paired domination number of the Cartesian product