Characterization of digraphs with equal domination graphs and underlying graphs
نویسندگان
چکیده
A domination graph of a digraph D, dom(D), is created using the vertex set of D and edge {u, v} ∈ E[dom(D)] whenever (u, z) ∈ A(D) or (v, z) ∈ A(D) for every other vertex z ∈ V (D). The underlying graph of a digraph D, UG(D), is the graph for which D is a biorientation. We completely characterize digraphs whose underlying graphs are identical to their domination graphs, UG(D)= dom(D). The maximum and minimum number of single arcs in these digraphs, and their characteristics, is given. © 2007 Elsevier B.V. All rights reserved.
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عنوان ژورنال:
- Discrete Mathematics
دوره 308 شماره
صفحات -
تاریخ انتشار 2008