Geodesic
Hereditary Equality of Domination and Exponential Domination
Discussiones Mathematicae. Graph Theory, Tome 38 (2018) no. 1, pp. 275-285

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We characterize a large subclass of the class of those graphs G for which the exponential domination number of H equals the domination number of H for every induced subgraph H of G.
Keywords: domination, exponential domination, hereditary class 
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     title = {Hereditary {Equality} of {Domination} and {Exponential} {Domination}},
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Henning, Michael A.; Jäger, Simon; Rautenbach, Dieter. Hereditary Equality of Domination and Exponential Domination. Discussiones Mathematicae. Graph Theory, Tome 38 (2018) no. 1, pp. 275-285. http://geodesic.mathdoc.fr/item/DMGT_2018_38_1_a21/