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  author = {Ramsey, Frank Plumpton},
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}

@article{ErdosSzekeres1935,
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  title = {A combinatorial problem in geometry},
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}

@article{AKS1980,
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  title = {A note on {Ramsey} numbers},
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}

@article{LiRousseauZang2001,
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}

@article{Spencer1977,
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}

@article{Kim1995,
  author = {Kim, Jeong Han},
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@article{BohmanKeevash2010,
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}

@article{MattheusVerstraete2024,
  author = {Mattheus, Sam and Verstra{\"e}te, Jacques},
  title = {The asymptotics of {$r(4,t)$}},
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}

@article{MubayiVerstraete2024,
  author = {Mubayi, Dhruv and Verstra{\"e}te, Jacques},
  title = {A note on pseudorandom {Ramsey} graphs},
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}

@misc{Bradac2026,
  author = {Brada{\v c}, Domagoj},
  title = {Off-diagonal {Ramsey} numbers},
  year = {2026}, note = {arXiv:2605.28793v3, 16 June 2026},
  url = {https://arxiv.org/abs/2605.28793v3}
}

@article{AlonKrivelevich1997,
  author = {Alon, Noga and Krivelevich, Michael},
  title = {Constructive bounds for a {Ramsey}-type problem},
  journal = {Graphs and Combinatorics},
  volume = {13}, number = {3}, year = {1997}, pages = {217--225},
  doi = {10.1007/BF03352998},
  url = {https://web.math.princeton.edu/~nalon/PDFS/kriv4.pdf}
}

@article{CodenottiPudlakResta2000,
  author = {Codenotti, Bruno and Pudl{\'a}k, Pavel and Resta, Giovanni},
  title = {Some structural properties of low-rank matrices related to computational complexity},
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}

@article{KostochkaPudlakRodl2010,
  author = {Kostochka, Alexandr and Pudl{\'a}k, Pavel and R{\"o}dl, Vojt{\v e}ch},
  title = {Some constructive bounds on {Ramsey} numbers},
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}

@article{AlonRodl2005,
  author = {Alon, Noga and R{\"o}dl, Vojt{\v e}ch},
  title = {Sharp bounds for some multicolor {Ramsey} numbers},
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}

@misc{RaghavendraTan2011,
  author = {Raghavendra, Prasad and Tan, Ning},
  title = {Approximating {CSPs} with global cardinality constraints using {SDP} hierarchies},
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  note = {arXiv:1110.1064v1},
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}

@article{Dvir2009,
  author = {Dvir, Zeev},
  title = {On the size of {Kakeya} sets in finite fields},
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}

@article{GuthKatz2010,
  author = {Guth, Larry and Katz, Nets Hawk},
  title = {Algebraic methods in discrete analogs of the {Kakeya} problem},
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  doi = {10.1016/j.aim.2010.05.015},
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}

@article{ElekesKaplanSharir2011,
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  title = {On lines, joints, and incidences in three dimensions},
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}

@article{EllenbergHablicsek2016,
  author = {Ellenberg, Jordan S. and Hablicsek, M{\'a}rton},
  title = {An incidence conjecture of {Bourgain} over fields of positive characteristic},
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}

@article{NieWang2015,
  author = {Nie, Zipei and Wang, Anthony Y.},
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}

@article{Schwartz1980,
  author = {Schwartz, Jacob T.},
  title = {Fast probabilistic algorithms for verification of polynomial identities},
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}

@inproceedings{Zippel1979,
  author = {Zippel, Richard},
  title = {Probabilistic algorithms for sparse polynomials},
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}

@article{Shearer1983,
  author = {Shearer, James B.},
  title = {A note on the independence number of triangle-free graphs},
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}

@article{Alon1996,
  author = {Alon, Noga},
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}

@article{DJPR2018,
  author = {Davies, Ewan and Jenssen, Matthew and Perkins, Will and Roberts, Barnaby},
  title = {On the average size of independent sets in triangle-free graphs},
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}

@misc{RamseyFive,
  author = {{OpenAI}},
  title = {{The sharp logarithmic exponent of $r(5,t)$}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/The-Sharp-Logarithmic-Exponent-of-r-5-t-September-24-2026/paper.pdf}{OAI:The-Sharp-Logarithmic-Exponent-of-r-5-t-September-24-2026}},
  year = {2026}
}

@misc{EOT,
  author = {Ellenberg, Jordan S. and Oberlin, Richard and Tao, Terence},
  title = {The {Kakeya} set and maximal conjectures for algebraic varieties over finite fields},
  year = {2009},
  eprint = {0903.1879},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/0903.1879},
  note = {\href{https://doi.org/10.1112/S0025579309000400}{Published version}}
}
