Domination Games on In nite Graphs
نویسنده
چکیده
We consider two innnite games, played on a countable graph G given with an integer vertex labelling. One player seeks to construct a ray (a one-way innnite path) in G, so that the ray's labels dominate or elude domination by an integer sequence being constructed by another player. For each game, we give a structural characterization of the graphs on which one player or the other can win, providing explicit winning strategies. This answers a question of Deuber. 1 ]
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