% ── Cops-and-robbers background ─────────────────────────────────────────────

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

@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{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},
}

@article{PralatWormaldRegular,
  author  = {Pra{\l}at, P. and Wormald, N.},
  title   = {{Meyniel}'s conjecture holds for random $d$-regular graphs},
  journal = {Random Structures \& Algorithms},
  volume  = {55},
  number  = {3},
  year    = {2019},
  pages   = {719--741},
}

@misc{NeuwirthBranchCapture,
  author = {Neuwirth, Levi},
  title  = {Branch-tube persistence and static coverage in tree-ball geometry},
  note   = {Preprint},
  year   = {2026},
  url    = {https://levineuwirth.org/essays/branch-based-local-capture-in-tree-balls/index.html},
}

% ── Random-regular / configuration-model background ────────────────────────

@incollection{Wormald,
  author    = {Wormald, N. C.},
  title     = {Models of random regular graphs},
  booktitle = {Surveys in Combinatorics, 1999},
  series    = {London Mathematical Society Lecture Note Series},
  volume    = {267},
  publisher = {Cambridge University Press},
  year      = {1999},
  pages     = {239--298},
}

@article{Janson,
  author  = {Janson, S.},
  title   = {The probability that a random multigraph is simple},
  journal = {Combinatorics, Probability and Computing},
  volume  = {18},
  year    = {2009},
  pages   = {205--225},
}

% ── Domination in regular / random graphs ───────────────────────────────────

@book{CohenHonkalaLitsynLobstein,
  author    = {Cohen, G. and Honkala, I. and Litsyn, S. and Lobstein, A.},
  title     = {Covering Codes},
  series    = {North-Holland Mathematical Library},
  volume    = {54},
  publisher = {Elsevier},
  year      = {1997},
}

@article{Duckworth,
  author  = {Duckworth, W.},
  title   = {Randomized greedy algorithms for finding small $k$-dominating sets of regular graphs},
  journal = {Random Structures \& Algorithms},
  volume  = {27},
  year    = {2005},
  pages   = {401--412},
}

@article{DuckworthWormald,
  author  = {Duckworth, W. and Wormald, N. C.},
  title   = {On the independent domination number of random regular graphs},
  journal = {Combinatorics, Probability and Computing},
  volume  = {15},
  year    = {2006},
  pages   = {513--522},
}

@article{CutlerRadcliffe,
  author  = {Cutler, J. and Radcliffe, A. J.},
  title   = {Counting dominating sets and related structures in graphs},
  journal = {Discrete Mathematics},
  volume  = {339},
  year    = {2016},
  pages   = {1593--1599},
}

@article{GlebovLiebenauSzabo,
  author  = {Glebov, R. and Liebenau, A. and Szab{\'o}, T.},
  title   = {On the concentration of the domination number of the random graph},
  journal = {SIAM Journal on Discrete Mathematics},
  volume  = {29},
  year    = {2015},
  pages   = {1186--1206},
}

% ── Statistical-mechanics / message-passing antecedents ─────────────────────

@article{ZhaoHabibullaZhou,
  author  = {Zhao, J.-H. and Habibulla, Y. and Zhou, H.-J.},
  title   = {Statistical mechanics of the minimum dominating set problem},
  journal = {Journal of Statistical Physics},
  volume  = {159},
  year    = {2015},
  pages   = {1154--1174},
}

@misc{HabibullaQin,
  author       = {Habibulla, Y. and Qin, S.-m.},
  title        = {Two-distance minimal dominating set problem studied by statistical mechanics and simulated annealing},
  howpublished = {arXiv:1910.07933},
  year         = {2019},
}

% ── Variational-analysis background ─────────────────────────────────────────

@book{RockafellarWets,
  author    = {Rockafellar, R. T. and Wets, R. J.-B.},
  title     = {Variational Analysis},
  series    = {Grundlehren der mathematischen Wissenschaften},
  volume    = {317},
  publisher = {Springer},
  year      = {1998},
}