Cops and robbers on directed and undirected abelian Cayley graphs

  title={Cops and robbers on directed and undirected abelian Cayley graphs},
  author={Peter Bradshaw and Seyyed Aliasghar Hosseini and J'er'emie Turcotte},
  journal={Eur. J. Comb.},
We discuss the game of cops and robbers on abelian Cayley graphs. We improve the upper bound for cop number in the undirected case, and we give an upper bound for the directed version. We also construct Meyniel extremal families of graphs with cop number $\Theta (\sqrt{n})$. 
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