DMTCS

Volume 8

n° 1 (2006), pp. 57-64

author: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
c
k
(G)
of such a smallest set we relate to
γ
c
(G)
, the order of a smallest connected dominating set. For a tree
T
we give bounds on
γ
c
k
(T)
in terms of minimum valency and diameter. For trees the inequality
γ
c
k
(T)≤ n-k-1
is known to hold, we determine the class of trees, for which equality holds.
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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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