Displaying similar documents to “Even bonds of prescribed directed parity.”

On the doubly connected domination number of a graph

Joanna Cyman, Magdalena Lemańska, Joanna Raczek (2006)

Open Mathematics

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For a given connected graph G = (V, E), a set D ⊆ V ( G ) is a doubly connected dominating set if it is dominating and both 〈D〉 and 〈V (G)-D〉 are connected. The cardinality of the minimum doubly connected dominating set in G is the doubly connected domination number. We investigate several properties of doubly connected dominating sets and give some bounds on the doubly connected domination number.