An independent dominating set in the complement of a minimum dominating set of a tree

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We prove that for every tree T of order at least 2 and every minimum dominating set D of T which contains at most one endvertex of T, there is an independent dominating set I of T which is disjoint from D. This confirms a recent conjecture of Johnson, Prier, and Walsh.

Michael A. Henning, Christian Löwenstein, Die

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APPML 2010 | Dominating Set | Tree |

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Added	08 Dec 2010
Updated	08 Dec 2010
Type	Journal
Year	2010
Where	APPML
Authors	Michael A. Henning, Christian Löwenstein, Dieter Rautenbach

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An independent dominating set in the complement of a minimum dominating set of a tree

APPML 2010 | Dominating Set | Tree |

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