Trees with the same global domination number as their square
نویسندگان
چکیده
A set S ⊆ V is a global dominating set of a graph G = (V,E) if S is a dominating set of G and G, where G is the complement graph of G. The global domination number γg(G) equals the minimum cardinality of a global dominating set of G. The square graph G of a graph G is the graph with vertex set V and two vertices are adjacent in G if they are joined in G by a path of length one or two. In this paper we provide a characterization of all trees T whose global domination number equals the global domination number of the square of T .
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 66 شماره
صفحات -
تاریخ انتشار 2016