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Maximum graphs with a unique minimum dominating set
Authors:Miranca Fischermann  Dieter Rautenbach and Lutz Volkmann
Institution:

Lehrstuhl II für Mathematik, RWTH-Aachen, 52056, Aachen, Germany

Abstract:We present a conjecture on the maximum number of edges of a graph that has a unique minimum dominating set. We verify our conjecture for some special cases and prove a weakened version of this conjecture in general.
Keywords:Domination  Size  Unique minimum dominating set  Extremal graphs
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