Trees with Equal Total Domination and Total Restrained Domination Numbers

نویسندگان

  • Xue-Gang Chen
  • Wai Chee Shiu
  • Hong-Yu Chen
چکیده

For a graph G = (V, E), a set S ⊆ V (G) is a total dominating set if it is dominating and both 〈S〉 has no isolated vertices. The cardinality of a minimum total dominating set in G is the total domination number. A set S ⊆ V (G) is a total restrained dominating set if it is total dominating and 〈V (G) − S〉 has no isolated vertices. The cardinality of a minimum total restrained dominating set in G is the total restrained domination number. We characterize all trees for which total domination and total restrained domination numbers are the same.

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تاریخ انتشار 2008