Some results on total domination in direct products of graphs

نویسندگان

  • Paul Dorbec
  • Sylvain Gravier
  • Sandi Klavzar
  • Simon Spacapan
چکیده

Upper and lower bounds on the total domination number of the direct product of graphs are given. The bounds involve the {2}-total domination number, the total 2-tuple domination number, and the open packing number of the factors. Using these relationships one exact total domination number is obtained. An infinite family of graphs is constructed showing that the bounds are best possible. The domination number of direct products of graphs is also bounded from below.

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عنوان ژورنال:
  • Discussiones Mathematicae Graph Theory

دوره 26  شماره 

صفحات  -

تاریخ انتشار 2006