Geodesic
Domination parameters of a graph with deleted special subset of edges
Discussiones Mathematicae. Graph Theory, Tome 21 (2001) no. 2, pp. 229-238

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This paper contains a number of estimations of the split domination number and the maximal domination number of a graph with a deleted subset of edges which induces a complete subgraph Kₚ. We discuss noncomplete graphs having or not having hanging vertices. In particular, for p = 2 the edge deleted graphs are considered. The motivation of these problems comes from [2] and [6], where the authors, among other things, gave the lower and upper bounds on irredundance, independence and domination numbers of an edge deleted graph.
Keywords: domination parameters, edge deleted graphs 
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     title = {Domination parameters of a graph with deleted special subset of edges},
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Kwaśnik, Maria; Zwierzchowski, Maciej. Domination parameters of a graph with deleted special subset of edges. Discussiones Mathematicae. Graph Theory, Tome 21 (2001) no. 2, pp. 229-238. http://geodesic.mathdoc.fr/item/DMGT_2001_21_2_a7/