% ── Foundational papers (cops-and-robbers) ──────────────────────────────────

@article{AignerFromme,
  author  = {Aigner, M. and Fromme, M.},
  title   = {A game of cops and robbers},
  journal = {Discrete Applied Mathematics},
  volume  = {8},
  year    = {1984},
  pages   = {1--12},
}

% ── Meyniel's conjecture: bounds and partial progress ───────────────────────

@article{LuPeng,
  author  = {Lu, L. and Peng, X.},
  title   = {On {Meyniel}'s conjecture of the cop number},
  journal = {Journal of Graph Theory},
  volume  = {71},
  number  = {2},
  year    = {2012},
  pages   = {192--205},
}

@article{ScottSudakov,
  author  = {Scott, A. and Sudakov, B.},
  title   = {A bound for the cops and robbers problem},
  journal = {SIAM Journal on Discrete Mathematics},
  volume  = {25},
  number  = {3},
  year    = {2011},
  pages   = {1438--1442},
}

@article{BoseEsperetHodorJoretMicekRambaud,
  author  = {Bose, P. and Esperet, L. and Hodor, J. and Joret, G. and Micek, P. and Rambaud, C.},
  title   = {Cops and robber in graphs with bounded vertex cover number},
  journal = {arXiv:2602.07435},
  year    = {2026},
}

@article{BradshawHosseiniMoharStacho,
  author  = {Bradshaw, P. and Hosseini, S. A. and Mohar, B. and Stacho, L.},
  title   = {On the cop number of graphs of high girth},
  journal = {Journal of Graph Theory},
  volume  = {102},
  year    = {2023},
  pages   = {15--34},
  note    = {arXiv:2005.10849},
}

@misc{Clow,
  author = {Clow, A.},
  title  = {Expanders satisfy the weak {Meyniel} conjecture},
  year   = {2023},
  note   = {Withdrawn preprint, arXiv:2311.13792},
}

@article{HMG,
  author  = {Hosseini, S. A. and Mohar, B. and {Gonzalez Hermosillo de la Maza}, S.},
  title   = {{Meyniel}'s conjecture on graphs of bounded degree},
  journal = {Journal of Graph Theory},
  volume  = {97},
  year    = {2021},
  pages   = {401--407},
  note    = {arXiv:1912.06957},
}

@article{PralatWormald,
  author  = {Pra{\l}at, P. and Wormald, N.},
  title   = {{Meyniel}'s conjecture holds for random graphs},
  journal = {Random Structures \& Algorithms},
  volume  = {48},
  number  = {2},
  year    = {2016},
  pages   = {396--421},
  note    = {arXiv:1301.2841},
}

% ── Expansion, isoperimetry, and product/replacement structures ────────────

@article{BollobasKunLeader,
  author  = {Bollob\'as, B. and Kun, G. and Leader, I.},
  title   = {Cops and robbers in a random graph},
  journal = {Journal of Combinatorial Theory, Series B},
  volume  = {103},
  year    = {2013},
  pages   = {226--236},
}

@article{BollobasLeader,
  author  = {Bollob\'as, B. and Leader, I.},
  title   = {An isoperimetric inequality on the discrete torus},
  journal = {SIAM Journal on Discrete Mathematics},
  volume  = {3},
  year    = {1990},
  pages   = {32--37},
}

@article{ReingoldVadhanWigderson,
  author  = {Reingold, O. and Vadhan, S. and Wigderson, A.},
  title   = {Entropy waves, the zig-zag graph product, and new constant-degree expanders},
  journal = {Annals of Mathematics},
  volume  = {155},
  year    = {2002},
  pages   = {157--187},
}

% ── Cop number on tori and products ─────────────────────────────────────────

@article{Lehner,
  author  = {Lehner, F.},
  title   = {On the cop number of toroidal graphs},
  journal = {Journal of Combinatorial Theory, Series B},
  volume  = {151},
  year    = {2021},
  pages   = {250--262},
}

@article{NeufeldNowakowski,
  author  = {Neufeld, S. and Nowakowski, R.},
  title   = {A game of cops and robbers played on products of graphs},
  journal = {Discrete Mathematics},
  volume  = {186},
  year    = {1998},
  pages   = {253--268},
}