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The independent domination number $$\gamma ^i(G)$$ γ i ( G ) of a graph G is the maximum, over all independent sets I, of the minimal number of vertices needed to dominate I. It is known (Aharoni et al. in Combinatorica 22:335–343, 2002) that in chordal graphs $$\gamma ^i$$ γ i is equal to $$\gamma $$ γ , the ordinary domination number. The weighted version of this result...
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