Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON MINUS TOTAL DOMINATION OF DIRECTED GRAPHS

  • Li, WenSheng (Department of Mathematics & Information Sciences Langfang Normal College) ;
  • Xing, Huaming (School of Sciences Tianjin University of Science & Technology) ;
  • Sohn, Moo Young (Department of Mathematics Changwon National University)
  • Received : 2013.08.29
  • Published : 2014.04.30
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Abstract

A three-valued function f defined on the vertices of a digraph D = (V, A), $f:V{\rightarrow}\{-1,0,+1\}$ is a minus total dominating function(MTDF) if $f(N^-(v)){\geq}1$ for each vertex $v{\in}V$. The minus total domination number of a digraph D equals the minimum weight of an MTDF of D. In this paper, we discuss some properties of the minus total domination number and obtain a few lower bounds of the minus total domination number on a digraph D.

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References

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