The domination game played on unions of graphs

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چکیده

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The domination game played on unions of graphs

In a graph G, a vertex is said to dominate itself and its neighbors. The Domination game is a two player game played on a finite graph. Players alternate turns in choosing a vertex that dominates at least one new vertex. The game ends when no move is possible, that is when the set of chosen vertices forms a dominating set of the graph. One player (Dominator) aims to minimize the size of this se...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2015

ISSN: 0012-365X

DOI: 10.1016/j.disc.2014.08.024