Lower bounds for the domination number
نویسندگان
چکیده
In this note, we prove several lower bounds on the domination number of simple connected graphs. Among these are the following: the domination number is at least two-thirds of the radius of the graph, three times the domination number is at least two more than the number of cut-vertices in the graph, and the domination number of a tree is at least as large as the minimum order of a maximal matching.
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ورودعنوان ژورنال:
- Discussiones Mathematicae Graph Theory
دوره 30 شماره
صفحات -
تاریخ انتشار 2010