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Fully active cops and robbers. (English) Zbl 1439.05154
Summary: We study a variation of the classical pursuit-evasion game of Cops and Robbers in which agents are required to move to an adjacent vertex on every turn. We explore how the minimum number of cops needed to catch the robber can change when this condition is added to the rules of the game. We study this “fully active Cops and Robbers” game for a number of classes of graphs and present some open problems for future research.
05C57 Games on graphs (graph-theoretic aspects)
91A43 Games involving graphs
91A24 Positional games (pursuit and evasion, etc.)
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