Abstract:In m-eternal domination attacker and defender play on a graph. Initially, the defender places guards on vertices. In each round, the attacker chooses a vertex to attack. Then, the defender can move each guard to a neighboring vertex and must move a guard to the attacked vertex. The m-eternal domination number is the minimum number of guards such that the graph can be defended indefinitely.In this paper, we study the m-eternal domination number of cactus graphs. We consider two variants of the m-eternal dominat… Show more
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