% Verified official metadata, retrieved 2026-10-20.
% Raw exports and provenance are preserved in papers/metadata/.
@misc{Pham2026,
  author    = {Huy Tuan Pham and Lisa Sauermann},
  title     = {On {Graham}'s rearrangement conjecture},
  year      = {2026},
  eprint    = {2602.15797},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  note      = {Version 1, 17 February 2026},
  url       = {https://arxiv.org/abs/2602.15797v1}
}

@misc{Costa2023,
  author    = {Costa, Simone and {Della Fiore}, Stefano and Ollis, M. A.},
  title     = {Sequencings in Semidirect Products via the Polynomial Method},
  year      = {2023},
  eprint    = {2301.09367},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  note      = {Version 1; Theorem 2.8(ii) gives the small-set input used here},
  url       = {https://arxiv.org/abs/2301.09367v1}
}

@misc{Costa2025,
  author    = {Costa, Simone and {Della Fiore}, Stefano and Engel, Eva R.},
  title     = {Graham's rearrangement for a class of semidirect products},
  year      = {2025},
  eprint    = {2503.18101},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  note      = {Version 2, 19 August 2025},
  url       = {https://arxiv.org/abs/2503.18101v2}
}

@misc{Costa2026a,
  author    = {Costa, Simone and {Della Fiore}, Stefano and Feng, Tao and Liu, Hengrui},
  title     = {Kneserized Anticoncentration and Reverse Absorption for {Graham}'s Rearrangement Conjecture},
  year      = {2026},
  eprint    = {2608.10015},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  note      = {Version 2, 18 August 2026},
  url       = {https://arxiv.org/abs/2608.10015v2}
}

@misc{Costa2026b,
  author    = {Costa, Simone and {Della Fiore}, Stefano},
  title     = {New bounds for (weak) sequenceability in {$\mathbb{Z}_k$}},
  year      = {2026},
  eprint    = {2602.19989},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  note      = {Version 1, 23 February 2026},
  url       = {https://arxiv.org/abs/2602.19989v1}
}

@article{Bedert2025a,
  author    = {Benjamin Bedert and Noah Kravitz},
  title     = {Graham's rearrangement conjecture beyond the rectification barrier},
  journal   = {Israel Journal of Mathematics},
  volume    = {273},
  number    = {1},
  pages     = {471--500},
  year      = {2026},
  doi       = {10.1007/s11856-025-2871-6},
  note      = {Published online 30 November 2025}
}

@misc{Bedert2025b,
  author    = {Benjamin Bedert and Matija Buci\'c and Noah Kravitz and Richard Montgomery and Alp M\"uyesser},
  title     = {On {Graham}'s rearrangement conjecture over {$\mathbb{F}_2^n$}},
  year      = {2025},
  eprint    = {2508.18254},
  archivePrefix = {arXiv},
  primaryClass = {math.CO},
  note      = {Version 1, 25 August 2025},
  url       = {https://arxiv.org/abs/2508.18254v1}
}

% Stable key retained; cited publication is the journal version.
@article{Ollis2019,
  author    = {M. A. Ollis},
  title     = {Sequences in Dihedral Groups with Distinct Partial Products},
  journal   = {Australasian Journal of Combinatorics},
  volume    = {78},
  number    = {1},
  pages     = {35--60},
  year      = {2020},
  url       = {https://ajc.maths.uq.edu.au/pdf/78/ajc_v78_p035.pdf}
}

@article{Lu2007,
  author    = {Linyuan Lu and L\'aszl\'o Sz\'ekely},
  title     = {Using {Lov{\'a}sz} Local Lemma in the Space of Random Injections},
  journal   = {The Electronic Journal of Combinatorics},
  volume    = {14},
  number    = {1},
  pages     = {R63},
  year      = {2007},
  doi       = {10.37236/981},
  note      = {Research Paper R63}
}

@article{Harris2017,
  author    = {David G. Harris and Aravind Srinivasan},
  title     = {A Constructive {Lov{\'a}sz} Local Lemma for Permutations},
  journal   = {Theory of Computing},
  volume    = {13},
  number    = {17},
  pages     = {1--41},
  year      = {2017},
  doi       = {10.4086/toc.2017.v013a017}
}

@article{Nguyen2011,
  author    = {Hoi Nguyen and Van Vu},
  title     = {Optimal inverse {Littlewood--Offord} theorems},
  journal   = {Advances in Mathematics},
  volume    = {226},
  number    = {6},
  pages     = {5298--5319},
  year      = {2011},
  doi       = {10.1016/j.aim.2011.01.005}
}

% Resolved from authoritative metadata on 2026-10-21; raw resolver output preserved in papers/metadata/.
@article{Kos2011,
  author    = {Kós, Géza},
  title     = {On the Grasshopper Problem with Signed Jumps},
  journal   = {The American Mathematical Monthly},
  publisher = {Informa UK Limited},
  volume    = {118},
  number    = {10},
  pages     = {877--886},
  year      = {2011},
  doi       = {10.4169/amer.math.monthly.118.10.877}
}

@article{Odlyzko1988,
  author    = {Odlyzko, A. M.},
  title     = {On subspaces spanned by random selections of {$\pm1$} vectors},
  journal   = {Journal of Combinatorial Theory, Series A},
  publisher = {Elsevier BV},
  volume    = {47},
  number    = {1},
  pages     = {124--133},
  year      = {1988},
  doi       = {10.1016/0097-3165(88)90046-5},
  note      = {Proof of Proposition 2.2 is cited from the author's manuscript, pp. 5--6},
  url       = {https://www-users.cse.umn.edu/~odlyzko/doc/arch/random.vectors.pdf}
}

@book{Bapat2010,
  author    = {Bapat, R. B.},
  title     = {Graphs and Matrices},
  publisher = {Springer London},
  year      = {2010},
  doi       = {10.1007/978-1-84882-981-7},
  isbn      = {9781848829817}
}

@article{Kwan2025,
  author    = {Kwan, Matthew and Sauermann, Lisa},
  title     = {Resolution of the quadratic {Littlewood--Offord} problem},
  journal   = {Compositio Mathematica},
  publisher = {Cambridge University Press (CUP)},
  volume    = {161},
  number    = {12},
  pages     = {3089--3139},
  year      = {2025},
  doi       = {10.1112/s0010437x25102789},
  note      = {Lemma 3.7 is cited from arXiv:2312.13826v1}
}

% Verified primary-source transcription; see agent/exposition/original-bibliography-verification-2026-10-21.md.
@inproceedings{Graham1971,
  author    = {R. L. Graham},
  title     = {On sums of integers taken from a fixed sequence},
  booktitle = {Proceedings of the Washington State University Conference on Number Theory},
  pages     = {22--40},
  year      = {1971},
  url       = {https://mathweb.ucsd.edu/~ronspubs/71_08_integer_sums.pdf}
}

% Verified primary-source transcription; see agent/exposition/original-bibliography-verification-2026-10-21.md.
@book{ErdosGraham1980,
  author    = {P. Erd\H{o}s and R. L. Graham},
  title     = {Old and new problems and results in combinatorial number theory},
  series    = {Monographies de L'Enseignement Math\'ematique},
  number    = {28},
  publisher = {L'Enseignement Math\'ematique, Universit\'e de Gen\`eve},
  address   = {Gen\`eve},
  year      = {1980},
  url       = {https://mathweb.ucsd.edu/~ronspubs/80_11_number_theory.pdf}
}