Rainbow Domination in Generalized de Bruijn Digraphs

نویسندگان

  • Yue–Li Wang
  • Meng–Hao Ko
  • Jia–Jie Liu
چکیده

In this paper, we are concerned with the krainbow domination problem on generalized de Bruijn digraphs. We give an upper bound and a lower bound for the k-rainbow domination number in generalized de Bruijn digraphs GB(n, d). We also show that γrk(GB(n, d)) = k if and only if α 6 1, where n = d+α and γrk(GB(n, d)) is the k-rainbow domination number of GB(n, d).

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تاریخ انتشار 2014