Roman domination in graphs

نویسندگان

  • Ernest J. Cockayne
  • Paul A. Dreyer
  • Sandra Mitchell Hedetniemi
  • Stephen T. Hedetniemi
چکیده

A Roman dominating function on a graph G = (V, E) is a function f : V → {0, 1, 2} satisfying the condition that every vertex u for which f(u) = 0 is adjacent to at least one vertex v for which f(v) = 2. The weight of a Roman dominating function is the value f(V ) = ∑ u∈V f(u). The minimum weight of a Roman dominating function on a graph G is called the Roman domination number of G. In this paper we study the graph theoretic properties of this variant of the domination number of a graph.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 278  شماره 

صفحات  -

تاریخ انتشار 2004