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- W2040414111 abstract "The domination number α(G) of a graph G is the size of a minimum dominating set, i.e., a set of points with the property that every other point is adjacent to a point of the set. In general α(G) can be made to increase or decrease by the removal of points from G. Our main objective is the study of this phenomenon. For example we show that if T is a tree with at least three points then α(T − v) > α (T) if and only if ν is in every minimum dominating set of T. Removal of a set of lines from a graph G cannot decrease the domination number. We obtain some upper bounds on the size of a minimum set of lines which when removed from G increases the domination number." @default.
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- W2040414111 date "1983-01-01" @default.
- W2040414111 modified "2023-10-16" @default.
- W2040414111 title "Domination alteration sets in graphs" @default.
- W2040414111 cites W1965211543 @default.
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- W2040414111 doi "https://doi.org/10.1016/0012-365x(83)90085-7" @default.
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