Title
Eternally dominating large grids
Abstract
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 dominating set against any sequence of attacks, otherwise the attacker wins.
Year
DOI
Venue
2019
10.1016/j.tcs.2018.09.008
Theoretical Computer Science
Keywords
Field
DocType
Eternal domination,Combinatorial game,Two players,Graph Protection,Grid
Discrete mathematics,Graph,Combinatorics,Dominating set,Vertex (geometry),Upper and lower bounds,Domination analysis,Guard (information security),Asymptotically optimal algorithm,Mathematics
Journal
Volume
ISSN
Citations 
794
0304-3975
0
PageRank 
References 
Authors
0.34
10
3
Name
Order
Citations
PageRank
I. Lamprou101.01
Russell Martin218017.35
Sven Schewe3124.70