A Characterization of Cubic Graphs with Paired-Domination Number Three-Fifths Their Order
نویسندگان
چکیده
A paired-dominating set of a graph is a dominating set of vertices whose induced subgraph has a perfect matching, while the paired-domination number is the minimum cardinality of a paired-dominating set in the graph. Recently, Chen, Sun and Xing [Acta Mathematica Scientia Series A Chinese Edition 27(1) (2007), 166–170] proved that a cubic graph has paired-domination number at most three-fifths the number of vertices in the graph. In this paper, we show that the Petersen graph is the only connected cubic graph with paired-domination number three-fifths its order.
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ورودعنوان ژورنال:
- Graphs and Combinatorics
دوره 25 شماره
صفحات -
تاریخ انتشار 2009