Geodesic
Domination with respect to nondegenerate and hereditary properties
Mathematica Bohemica, Tome 133 (2008) no. 2, pp. 167-178.

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For a graphical property P and a graph G, a subset S of vertices of G is a P-set if the subgraph induced by S has the property P. The domination number with respect to the property P, is the minimum cardinality of a dominating P-set. In this paper we present results on changing and unchanging of the domination number with respect to the nondegenerate and hereditary properties when a graph is modified by adding an edge or deleting a vertex.
DOI : 10.21136/MB.2008.134058
Classification : 05C69
Mots-clés : domination; independent domination; acyclic domination; good vertex; bad vertex; fixed vertex; free vertex; hereditary graph property; induced-hereditary graph property; nondegenerate graph property; additive graph property 
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Samodivkin, Vladimir. Domination with respect to nondegenerate and hereditary properties. Mathematica Bohemica, Tome 133 (2008) no. 2, pp. 167-178. doi : 10.21136/MB.2008.134058. https://geodesic-test.mathdoc.fr/articles/10.21136/MB.2008.134058/

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