Generalized connected domination in graphs
نویسندگان
چکیده
As a generalization of connected domination in a graph G we consider domination by sets having at most k components. The order γ c (G) of such a smallest set we relate to γc(G), the order of a smallest connected dominating set. For a tree T we give bounds on γ c (T ) in terms of minimum valency and diameter. For trees the inequality γ c (T ) ≤ n− k − 1 is known to hold, we determine the class of trees, for which equality holds. please also repeat in the submission form
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ورودعنوان ژورنال:
- Discrete Mathematics & Theoretical Computer Science
دوره 8 شماره
صفحات -
تاریخ انتشار 2006