R-Domination in Graphs

@article{Slater1976RDominationIG,
  title={R-Domination in Graphs},
  author={Peter J. Slater},
  journal={J. ACM},
  year={1976},
  volume={23},
  pages={446-450}
}
The problem of finding a minimum <italic>k</italic>-basis of graph <italic>G</italic> is that of selecting as small a set <italic>B</italic> of vertices as possible such that every vertex of <italic>G</italic> is at distance <italic>k</italic> or less from some vertex in <italic>B</italic>. Cockayne, Goodman, and Hedetniemi previously developed a linear algorithm to find a minimum 1-basis (a minimum dominating set) when <italic>G</italic> is a tree. In this paper the <italic>k</italic>-basis… CONTINUE READING

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