图的控制数有着重要的应用背景，严格强控制数是图的众多控制数中的一种。本文得到n阶图的严格强控制数的下界，并给出一些特殊图类的严格强控制数的上界。%The domination numbers of graphs have many applications.The strict majority domination number is one of many domination numbers of graphs.In this paper, a lower bound of the domination numbers of graphs is obtained and some upper bounds of strict majority domination number of special graphs are given .
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