Efficient open domination in graph products
نویسندگان
چکیده
A graph G is an efficient open domination graph if there exists a subset D of V (G) for which the open neighborhoods centered in vertices of D form a partition of V (G). We completely describe efficient domination graphs among direct, lexicographic and strong products of graphs. For the Cartesian product we give a characterization when one factor is K2 and some partial results for grids, cylinders and toruses. A connection with total domination number is also established.
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عنوان ژورنال:
- Discrete Mathematics & Theoretical Computer Science
دوره 16 شماره
صفحات -
تاریخ انتشار 2014