@article{Baek24,
       author = {{Baek}, Jineon},
        title = "{Optimality of Gerver's Sofa}",
      journal = {arXiv e-prints},
     keywords = {Mathematics - Metric Geometry, Mathematics - Combinatorics, Mathematics - Optimization and Control, 49Q10, 49K15, 52A10, 52A41, 90C26},
         year = 2024,
        pages = {arXiv:2411.19826},
          doi = {10.48550/arXiv.2411.19826},
archivePrefix = {arXiv},
 primaryClass = {math.MG},
       url = {https://arxiv.org/abs/2411.19826}
}

@article{XingyiEA26,
       author = {{He}, Xingyi},
        title = "{A Gas-Driven Algorithm for Variants of the Moving Sofa Problem}",
      journal = {arXiv e-prints},
     keywords = {History and Overview, Metric Geometry, 49Q10},
         year = 2026,
        pages = {arXiv:2608.11206},
          doi = {10.48550/arXiv.2608.11206},
archivePrefix = {arXiv},
 primaryClass = {math.HO},
       url = {https://ui.adsabs.harvard.edu/abs/2026arXiv260811206H}
}

@article{Romik18,
    author = {Dan Romik},
    title = {{Differential Equations and Exact Solutions in the Moving Sofa Problem}},
    journal = {Experimental Mathematics},
    volume = {27},
    number = {3},
    pages = {316--330},
    year = {2018},
    publisher = {Taylor \& Francis},
    doi = {10.1080/10586458.2016.1270858},
    URL = {https://doi.org/10.1080/10586458.2016.1270858}
}

@article{KallusRomik18,
title = {{Improved upper bounds in the moving sofa problem}},
journal = {Advances in Mathematics},
volume = {340},
pages = {960-982},
year = {2018},
issn = {0001-8708},
doi = {https://doi.org/10.1016/j.aim.2018.10.022},
url = {https://www.sciencedirect.com/science/article/pii/S000187081830416X},
author = {Yoav Kallus and Dan Romik},
keywords = {Moving sofa problem, Geometric optimization, Branch-and-bound, Computer-assisted proof, Experimental mathematics}
}

@article{BaiandBai25,
    author = {Hanson Bai and John Bai},
    title = {{Modeling the moving sofas in circular hallways using
geometric methods}},
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    year = {2025},
    vol = {8},
    issue = {1},
    doi = {https://doi.org/10.59720/24-384}
}

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    author = {Gerver, Joseph L.},
    title = {{On moving a sofa around a corner}},
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    issue = {3},
    url = {https://doi.org/10.1007/BF02414066},
    doi = {10.1007/BF02414066}
}

@article{Moser66,
    author = {Moser, Leo},
    title = {{Moving Furniture Through a Hallway}},
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}

@article{Hammersley68,
    author = {Hammersley, J. M.},
    title = {{On the enfeeblement of mathematical skills by modern mathematics and by similar soft intellectual trash in schools and universities}},
    journal = {Bulletin of the Institute of Mathematics and Its Applications},
    year = {1968},
    volume = {4},
	pages = {66--85}
}

@misc{WikiSofa,
    author = "{Wikipedia contributors}",
    title = "Moving sofa problem",
    year = "2026",
    url = "https://en.wikipedia.org/w/index.php?title=Moving_sofa_problem&oldid=1331567260",
    note = "[Online; accessed 9-January-2026]"
  }