@phdthesis{Henderson1971,
  author = {Henderson, John Robert},
  title = {Permutation Decompositions of $(0,1)$-Matrices and Decomposition Transversals},
  school = {California Institute of Technology},
  year = {1971},
  doi = {10.7907/J1Z1-SK19},
  url = {https://thesis.caltech.edu/5726/}
}

@article{Aharoni2001,
  author = {Aharoni, Ron},
  title = {{Ryser}'s Conjecture for Tripartite 3-Graphs},
  journal = {Combinatorica},
  volume = {21},
  number = {1},
  pages = {1--4},
  year = {2001},
  doi = {10.1007/s004930170001}
}

@article{Tuza1983,
  author = {Tuza, Zsolt},
  title = {{Ryser}'s conjecture on transversals of $r$-partite hypergraphs},
  journal = {Ars Combinatoria},
  volume = {16-B},
  pages = {201--209},
  year = {1983},
  url = {https://combinatorialpress.com/ars/vol16b/}
}

@article{FranceticHerkeMcKayWanless2017,
  author = {Franceti{\'c}, Nevena and Herke, Sarada and McKay, Brendan D. and Wanless, Ian M.},
  title = {On {Ryser}'s conjecture for linear intersecting multipartite hypergraphs},
  journal = {European Journal of Combinatorics},
  volume = {61},
  pages = {91--105},
  year = {2017},
  doi = {10.1016/j.ejc.2016.10.004},
  eprint = {1508.00951},
  archivePrefix = {arXiv},
  primaryClass = {math.CO}
}

@article{SzonyiWeiner2012,
  author = {Sz{\H o}nyi, Tam{\'a}s and Weiner, Zsuzsa},
  title = {A stability theorem for lines in {Galois} planes of prime order},
  journal = {Designs, Codes and Cryptography},
  volume = {62},
  number = {1},
  pages = {103--108},
  year = {2012},
  doi = {10.1007/s10623-011-9495-z}
}

@article{HegerNagy2017,
  author = {H{\'e}ger, Tam{\'a}s and Nagy, Zolt{\'a}n L{\'o}r{\'a}nt},
  title = {Dominating sets in projective planes},
  journal = {Journal of Combinatorial Designs},
  volume = {25},
  number = {7},
  pages = {293--309},
  year = {2017},
  doi = {10.1002/jcd.21527},
  eprint = {1603.02933},
  archivePrefix = {arXiv},
  primaryClass = {math.CO}
}

@article{Azuma1967,
  author = {Azuma, Kazuoki},
  title = {Weighted sums of certain dependent random variables},
  journal = {T\^ohoku Mathematical Journal, Second Series},
  volume = {19},
  number = {3},
  pages = {357--367},
  year = {1967},
  doi = {10.2748/tmj/1178243286}
}

@incollection{ErdosLovasz1975,
  author = {Erd{\H o}s, Paul and Lov{\'a}sz, L{\'a}szl{\'o}},
  title = {Problems and results on 3-chromatic hypergraphs and some related questions},
  booktitle = {Infinite and Finite Sets},
  editor = {Hajnal, Andr{\'a}s and Rado, Richard and S{\'o}s, Vera T.},
  series = {Colloquia Mathematica Societatis J{\'a}nos Bolyai},
  volume = {10},
  pages = {609--627},
  publisher = {North-Holland},
  address = {Amsterdam},
  year = {1975},
  url = {https://www.renyi.hu/~p_erdos/1975-34.pdf}
}

@article{LohSudakov2007,
  author = {Loh, Po-Shen and Sudakov, Benny},
  title = {Independent transversals in locally sparse graphs},
  journal = {Journal of Combinatorial Theory, Series B},
  volume = {97},
  number = {6},
  pages = {904--918},
  year = {2007},
  doi = {10.1016/j.jctb.2007.02.003},
  eprint = {0706.2124},
  archivePrefix = {arXiv},
  primaryClass = {math.CO}
}

@article{ClowHaxellMohar2025,
  author = {Clow, Alexander and Haxell, Penny and Mohar, Bojan},
  title = {A Counterexample to a Conjecture of {Lov{\'a}sz}},
  journal = {Combinatorica},
  volume = {46},
  pages = {26},
  year = {2026},
  doi = {10.1007/s00493-026-00220-3},
  note = {Article 26},
  eprint = {2505.05339},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  url = {https://link.springer.com/article/10.1007/s00493-026-00220-3}
}

@misc{AbiadGarbePovillSpiegel2025,
  author = {Abiad, Aida and Garbe, Frederik and Povill, Xavier and Spiegel, Christoph},
  title = {Infinitely many counterexamples to a conjecture of {Lov{\'a}sz}},
  year = {2025},
  eprint = {2506.21286},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  note = {Version 2, 14 July 2025},
  howpublished = {\href{https://arxiv.org/abs/2506.21286v2}{arXiv:2506.21286v2}},
  url = {https://arxiv.org/abs/2506.21286v2}
}

@misc{BestWanless2018,
  howpublished = {\href{https://arxiv.org/abs/1801.02893}{arXiv:1801.02893}},
  author = {Best, Darcy and Wanless, Ian M.},
  title = {What did {Ryser} Conjecture?},
  year = {2018},
  eprint = {1801.02893},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  url = {https://arxiv.org/abs/1801.02893}
}

@article{KiralyTothmeresz2017,
  author = {Kir{\'a}ly, Zolt{\'a}n and T{\'o}thm{\'e}r{\'e}sz, Lilla},
  title = {On {Ryser}'s Conjecture for $t$-Intersecting and Degree-Bounded Hypergraphs},
  journal = {The Electronic Journal of Combinatorics},
  volume = {24},
  number = {4},
  pages = {P4.40},
  year = {2017},
  doi = {10.37236/6448},
  eprint = {1705.10024},
  archivePrefix = {arXiv},
  primaryClass = {math.CO}
}

@article{AbuKhaznehBaratPokrovskiySzabo2019,
  author = {Abu-Khazneh, Ahmad and Bar{\'a}t, J{\'a}nos and Pokrovskiy, Alexey and Szab{\'o}, Tibor},
  title = {A family of extremal hypergraphs for {Ryser}'s conjecture},
  journal = {Journal of Combinatorial Theory, Series A},
  volume = {161},
  pages = {164--177},
  year = {2019},
  doi = {10.1016/j.jcta.2018.07.011},
  eprint = {1605.06361},
  archivePrefix = {arXiv},
  primaryClass = {math.CO}
}

@article{Kahn1992,
  author = {Kahn, Jeff},
  title = {On a problem of {Erd{\H o}s} and {Lov{\'a}sz}: Random lines in a projective plane},
  journal = {Combinatorica},
  volume = {12},
  number = {4},
  pages = {417--423},
  year = {1992},
  doi = {10.1007/BF01305234}
}

@misc{OpenAIExtension2026,
  author = {{OpenAI}},
  title = {{A counterexample to Ryser's covering conjecture}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/A-Counterexample-to-Rysers-Covering-Conjecture-September-23-2026/paper.pdf}{OAI:A-Counterexample-to-Rysers-Covering-Conjecture-September-23-2026}},
  year = {2026}
}


@misc{White2026,
  author = {White, Patrick},
  title = {{Tuza}'s {Ryser}-conjecture claim for four-partite hypergraphs with matching number two},
  year = {2026},
  eprint = {2609.14281},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  note = {Version 1, 13 September 2026},
  howpublished = {\href{https://arxiv.org/abs/2609.14281v1}{arXiv:2609.14281v1}},
  url = {https://arxiv.org/abs/2609.14281v1}
}

@article{HaxellScott2012,
  author = {Haxell, P. E. and Scott, A. D.},
  title = {On {Ryser}'s conjecture},
  journal = {The Electronic Journal of Combinatorics},
  volume = {19},
  number = {1},
  pages = {P23},
  year = {2012},
  doi = {10.37236/1175},
  note = {\href{https://doi.org/10.37236/1175}{doi:10.37236/1175}}
}

@article{ErdosGyarfasPyber1991,
  author = {Erd{\H o}s, Paul and Gy{\'a}rf{\'a}s, Andr{\'a}s and Pyber, L{\'a}szl{\'o}},
  title = {Vertex coverings by monochromatic cycles and trees},
  journal = {Journal of Combinatorial Theory, Series B},
  volume = {51},
  number = {1},
  pages = {90--95},
  year = {1991},
  doi = {10.1016/0095-8956(91)90007-7}
}

@article{HaxellScott2017,
  author = {Haxell, P. E. and Scott, A. D.},
  title = {A note on intersecting hypergraphs with large cover number},
  journal = {The Electronic Journal of Combinatorics},
  volume = {24},
  number = {3},
  pages = {P3.26},
  year = {2017},
  doi = {10.37236/6460},
  eprint = {1609.05458},
  archivePrefix = {arXiv},
  primaryClass = {math.CO}
}

@misc{Milicevic2017,
  author = {Mili{\'c}evi{\'c}, Luka},
  title = {Covering complete graphs by monochromatically bounded sets},
  year = {2017},
  eprint = {1705.09370},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  note = {Version 1, 25 May 2017},
  howpublished = {Preprint, \href{https://arxiv.org/abs/1705.09370v1}{arXiv:1705.09370v1}},
  url = {https://arxiv.org/abs/1705.09370v1}
}