Vertex-to-vertex pursuit in a graph
نویسندگان
چکیده
A graph G is given and two players, a cop and a robber, play the folioking game: the cop chooses a vertex, then the robber chooses a vertex, then the players move alternately beginning with the cop. A move consists of staying at one’s present vertex or moving to an adjacent vertex; each move is seen by both players. The cop wins if he manages to occupy the same vertex as the robber, and the robber wins if he avoids this forever. We characterize the graphs on which the cop has a winning strategy, and connect the problem with the structure theory of graphs based on products and retracts.
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ورودعنوان ژورنال:
- Discrete Mathematics
دوره 43 شماره
صفحات -
تاریخ انتشار 1983