A deterministic version of the game of zombies and survivors on graphs

@article{Fitzpatrick2016ADV,
  title={A deterministic version of the game of zombies and survivors on graphs},
  author={Shannon L. Fitzpatrick and J. Howell and Margaret-Ellen Messinger and David A. Pike},
  journal={Discrete Applied Mathematics},
  year={2016},
  volume={213},
  pages={1-12}
}
We consider a variant of the pursuit–evasion game Cops and Robber, called Zombies and Survivors. The zombies, being of limited intelligence, have a very simple objective at each round: move closer to a survivor. The zombies capture a survivor if one of the zombies moves onto the same vertex as a survivor. The survivor’s objective is to avoid capture for as long as possible, hopefully indefinitely. Because there may be multiple geodesics, or shortest paths, joining a zombie and its nearest… CONTINUE READING
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