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Search: authors:"M. Dettlaff"

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Coronas and Domination Subdivision Number of a Graph

In this paper, for a graph G and a family of partitions \(\mathcal {P}\) of vertex neighborhoods of G, we define the general corona \(G \circ \mathcal {P}\) of G. Among several properties of this new operation, we focus on application general coronas to a new kind of characterization of trees with the domination subdivision number equal to 3.