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Eternal dominating set

In graph theory, an eternal dominating set for a graph G = (V, E) is a subset D of V such that D is a dominating set on which mobile guards are… 
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Papers overview

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2017
2017
  • M. Messinger
  • 2017
  • Corpus ID: 27114397
The domination number for grid graphs has been a long studied problem; the first results appeared over thirty years ago [Jacobson… 
2017
2017
In the Spy game, a spy is placed first at some vertex of a graph G. Then, k > 0 guards are also occupying some vertices of G. At… 
2016
2016
2016
We define and study the following two-player game on a graph G. Let k in N^*. A set of k guards is occupying some vertices of G… 
2013
2013
: During the last decades, many combinatorial games involving two persons playing on a (directed) graph have received a lot of…