Efficient open domination in graph products

نویسندگان

  • Dorota Kuziak
  • Iztok Peterin
  • Ismael González Yero
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