Convex domination in the composition and cartesian product of graphs

@article{Labendia2012ConvexDI,
  title={Convex domination in the composition and cartesian product of graphs},
  author={M. A. Labendia and S. Canoy},
  journal={Czechoslovak Mathematical Journal},
  year={2012},
  volume={62},
  pages={1003-1009}
}
In this paper we characterize the convex dominating sets in the composition and Cartesian product of two connected graphs. The concepts of clique dominating set and clique domination number of a graph are defined. It is shown that the convex domination number of a composition G[H] of two non-complete connected graphs G and H is equal to the clique domination number of G. The convex domination number of the Cartesian product of two connected graphs is related to the convex domination numbers of… Expand
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References

SHOWING 1-8 OF 8 REFERENCES
Weakly convex and convex domination numbers
  • 36
  • PDF
Convex Sets Under Some Graph Operations
  • 35
Domination in graphs : advanced topics
  • 1,288
On Domination in Graphs
  • 118
  • PDF
Fundamentals of domination in graphs
  • 3,153
  • PDF
Convex sets in graphs
  • 77
Domination in graphs
  • 144
Distance in graphs
  • 1,126