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Perpetually Dominating Large Grids
[article]
2018
arXiv
pre-print
In the m-Eternal Domination game, a team of guard tokens initially occupies a dominating set on a graph G. An attacker then picks a vertex without a guard on it and attacks it. The guards defend against the attack: one of them has to move to the attacked vertex, while each remaining one can choose to move to one of his neighboring vertices. The new guards' placement must again be dominating. This attack-defend procedure continues eternally. The guards win if they can eternally maintain a
arXiv:1611.08204v3
fatcat:u43m253ncvaqhc6lycohf235cy