Cops and Robbers is EXPTIME-complete
@article{Kinnersley2015CopsAR, title={Cops and Robbers is EXPTIME-complete}, author={B. Kinnersley}, journal={J. Comb. Theory, Ser. B}, year={2015}, volume={111}, pages={201-220} }
We investigate the computational complexity of deciding whether k cops can capture a robber on a graph G. Goldstein and Reingold (1995) 8] conjectured that the problem is EXPTIME-complete when both G and k are part of the input; we prove this conjecture.
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