Locating a robber on a graph
نویسندگان
چکیده
منابع مشابه
Locating a robber on a graph
Consider the following game of a cop locating a robber on a connected graph. At each turn, the cop chooses a vertex of the graph to probe and receives the distance from the probe to the robber. If she can uniquely locate the robber after this probe, then she wins. Otherwise the robber may either stay put or move to any vertex adjacent to his location other than the probe vertex. The cop’s goal ...
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A cop wants to locate a robber hiding among the vertices of a graph. A round of the game consists of the robber moving to a neighbor of its current vertex (or not moving) and then the cop scanning some vertex to obtain the distance from that vertex to the robber. If the cop can at some point determine where the robber is, then the cop wins; otherwise, the robber wins. We prove that the robber w...
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The Cops and Robbers game as originally defined independently by Quilliot and by Nowakowski andWinkler in the 1980s has beenmuch studied, but very few results pertain to the algorithmic and complexity aspects of it. In this paper we prove that computing the minimumnumber of cops that are guaranteed to catch a robber on a given graph is NP-hard and that the parameterized version of the problem i...
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The robber locating game, introduced by Seager in [8], is a variation of the classic cops and robbers game on a graph. A cop attempts to locate an invisible robber on a graph by probing a single vertex v each turn, from which the cop learns the robber’s distance. The robber is then permitted to stay at his current vertex or move to an adjacent vertex other than v. A graph is locatable if the co...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2012
ISSN: 0012-365X
DOI: 10.1016/j.disc.2012.07.029