### Volume 8

n° 1 (2006), pp. 57-64author: | M. Kouider and P.D. Vestergaard |
---|---|

title: | Generalized connected domination in graphs |

keywords: | connected domination, domination, tree |

abstract: | As a generalization of connected domination in a graph G we consider domination by sets having at most k components. The order γ of such a smallest set we relate to c k (G)γ , the order
of a smallest connected dominating set.
For a tree c (G)T we give bounds on γ in terms of
minimum valency and diameter.
For trees the inequality c k (T)γ is known to
hold, we determine the class of trees, for which equality holds.c k (T)≤ n-k-1 |

If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. | |

reference: | M. Kouider and P.D. Vestergaard (2006),
Generalized connected domination in graphs,
Discrete Mathematics and Theoretical Computer Science 8, pp. 57-64 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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Automatically produced on Thu Feb 9 21:30:23 CET 2006 by falk