A tight lower bound for the capture time of the cops and robbers game (Q2196569)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A tight lower bound for the capture time of the cops and robbers game |
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A tight lower bound for the capture time of the cops and robbers game (English)
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3 September 2020
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The authors answer on the negative to a question by \textit{A. Bonato} and \textit{R. J. Nowakowski} [The game of cops and robbers on graphs. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1298.91004)] on the impossibility of improving the known lower bound of the capture time in the \(k\)-cop-win graphs, \(k\geq 2\), pertaining to the game of cops and robbers. This is in sharp contrast with the \(k=1\) case.
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lower bound
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mobile agents
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cops and robbers
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