On the (2, 2)-domination number of trees

نویسندگان

  • Xinmin Hou
  • You Lu
  • Jun-Ming Xu
چکیده

Let γ(G) and γ2,2(G) denote the domination number and (2, 2)domination number of a graph G, respectively. In this paper, for any nontrivial tree T , we show that 2(γ(T )+1) 3 ≤ γ2,2(T ) ≤ 2γ(T ). Moreover, we characterize all the trees achieving the equalities.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 30  شماره 

صفحات  -

تاریخ انتشار 2010