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- W2061602850 abstract "Let G be a graph and γ ( G ) denote the domination number of G . A dominating set D of a graph G with | D | = γ ( G ) is called a γ -set of G . A vertex x of a graph G is called: (i) γ -fixed if x belongs to every γ -set, (ii) γ -free if x belongs to some γ -set but not to all γ -sets, (iii) γ -bad if x belongs to no γ -set, (iv) γ - -free if x is γ -free and γ ( G - x ) = γ ( G ) - 1 , (v) γ 0 -free if x is γ -free and γ ( G - x ) = γ ( G ) , and (vi) γ q -fixed if x is γ -fixed and γ ( G - x ) = γ ( G ) + q . In this paper we investigate for any vertex x of a graph G whether x is γ q -fixed, γ 0 -free, γ - -free or γ -bad when G is modified by deleting a vertex or adding or deleting an edge." @default.
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- W2061602850 date "2008-11-01" @default.
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- W2061602850 title "Changing and unchanging of the domination number of a graph" @default.
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- W2061602850 doi "https://doi.org/10.1016/j.disc.2007.08.088" @default.
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