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.
@article{bwmeta1.element.doi-10_7151_dmgt_2006, author = {Michael A. Henning and Simon J\"ager and Dieter Rautenbach}, title = {Hereditary Equality of Domination and Exponential Domination}, journal = {Discussiones Mathematicae Graph Theory}, volume = {38}, year = {2018}, pages = {275-285}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_7151_dmgt_2006} }
Michael A. Henning; Simon Jäger; Dieter Rautenbach. Hereditary Equality of Domination and Exponential Domination. Discussiones Mathematicae Graph Theory, Tome 38 (2018) pp. 275-285. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_2006/