Copandrobbergameand
In this note, we prove that all cop-win graphs G in the game in which the robber and the cop move at different speeds s and s' with s'0, this establishes a new - game-theoretical - characterization of Gromov hyperbolicity. We also show that for weakly mo
Cop–robber gameA cop鈥搑obber guarding game is played by the robber-player and the cop-player on a graph G with a partition R and C of the vertex set. The robber-player starts the game by placing a robber (her pawn) on a vertex in R, followed by the cop-player who places a ...
Keywords: pursuit game, cops and robber game, graph guarding game, computational complexity,E-completeness. At any time of the game both players know the positions of all pawns Thecomplexity of the decision problem related to the Cops-and-Robbers game was studied pursuit...
We present an upper bound n 4 for the maximum length of a cop and robber game (the capture-time) on a cop-win graph of order n. This bound matches the known lower bound. We analyze the structure of the class of all graphs attaining this maximum and describe an inductive construction ...
Cops and robbers is a vertex-pursuit game played on graphs. In the classical cops-and-robbers game, a set of cops and a robber occupy the vertices of the graph and move alternately along the graph’s edges with perfect information about each other’s positions. If a cop eventually occupies...
Summary: A cop-robber guarding game is played by the robber-player and the cop-player on a graph $G$ with a partition $R$ and $C$ of the vertex set. The robber-player starts the game by placing a robber (her pawn) on a vertex in $R$, followed by the cop-player who places a ...
Hoping to cut a deal, a professional bank robber agrees to return all the money he stole in exchange for a reduced sentence. But when two FBI agents set him up for murder, he must now go on the run to clear his name and bring them to justice. Released: 2020 Directed by:...
In this paper we consider the optimal capture time of the one-cop-moves game. Given a graph with a set of cops and a single robber located on vertices, in each round of the game, the robber moves from her location to an adjacent vertex and then one of the cops moves from his locati...
We give an algorithmic characterisation of finite cop-win digraphs. The case of k>1 cops and kl1 robbers is then reduced to the one cop case. Similar characterisations are also possible in many situations where the movements of the cops and/or the robbers are somehow restricted.关键词:Cop...