Block graphs with unique minimum dominating sets
نویسنده
چکیده
For any graph G a set D of vertices of G is a dominating set, if every vertex v∈V (G)− D has at least one neighbor in D. The domination number (G) is the smallest number of vertices in any dominating set. In this paper, a characterization is given for block graphs having a unique minimum dominating set. With this result, we generalize a theorem of Gunther, Hartnell, Markus and Rall for trees. c © 2001 Elsevier Science B.V. All rights reserved.
منابع مشابه
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عنوان ژورنال:
- Discrete Mathematics
دوره 240 شماره
صفحات -
تاریخ انتشار 2001