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An Extremal Problem for Total Domination Stable Graphs Upon Edge RemovalDesormeaux, Wyatt J., Haynes, Teresa W., Henning, Michael A. 28 June 2011 (has links)
A connected graph is total domination stable upon edge removal, if the removal of an arbitrary edge does not change the total domination number. We determine the minimum number of edges required for a total domination stable graph in terms of its order and total domination number.
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