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}

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   JOURNAL = {Forum Math. Sigma},
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   MRCLASS = {52C40 (05C31 05E18 52B20 52B40)},
  MRNUMBER = {4061968},
MRREVIEWER = {Hery\ Randriamaro},
       DOI = {10.1017/fms.2019.40},
}

@article{BH,
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  author={Backman, Spencer and Hopkins, Sam},
  journal={Research in the Mathematical Sciences},
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  year={2017},
  publisher={Springer}
}

@article {BSY,
    AUTHOR = {Backman, Spencer and Santos, Francisco and Yuen, Chi Ho},
     TITLE = {Topological bijections for oriented matroids},
   JOURNAL = {S\'{e}m. Lothar. Combin.},
  FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire},
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      YEAR = {2020},
     PAGES = {Art. 39, 12},
   MRCLASS = {05B35 (52B40)},
  MRNUMBER = {4098260},
}

@misc{BSY2,
    AUTHOR = {Backman, Spencer and Santos, Francisco and Yuen, Chi Ho},
     TITLE = {Lift-and-extension Bijections for Oriented Matroids},
   NOTE = {In preparation},
}

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}

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}

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}

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}

@article{Ding1,
author = {Ding, Changxin},
title = {Geometric bijections between spanning subgraphs and orientations of a graph},
journal = {Journal of the London Mathematical Society},
year = {2023},
}


@misc{Ding2,
author = {Ding,Changxin},
title = {A framework unifying some bijections for graphs and its connection to Lawrence polytopes},
  EPRINT = {2306.07376},
  EPRINTTYPE = {arxiv},
year = {2023},
}

@article{GM, title={Rotor-Routing Induces the Only Consistent Sandpile Torsor Structure on Plane Graphs}, volume={11}, DOI={10.1017/fms.2023.77}, journal={Forum of Mathematics, Sigma}, author={Ganguly, Ankan and McDonough, Alex}, year={2023}, pages={e78}}

@article{Gioan,
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}

@article {Gioan2,
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MRREVIEWER = {Haidong Wu},
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}

@article {GY,
    AUTHOR = {Gioan, Emeric and Yuen, Chi Ho},
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      YEAR = {2019},
    NUMBER = {4},
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   MRCLASS = {05B35 (05C31)},
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}

@incollection {Hol08,
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     TITLE = {Chip-firing and rotor-routing on directed graphs},
 BOOKTITLE = {In and out of equilibrium. 2},
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    VOLUME = {60},
     PAGES = {331--364},
 PUBLISHER = {Birkh\"{a}user, Basel},
      YEAR = {2008},
   MRCLASS = {82C20 (05C25 20K01)},
  MRNUMBER = {2477390},
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}

@phdthesis{Merino,
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    school   = {University of Oxford},
    author   = {Merino, Criel},
    year     = {1999},
}

@book{Oxley_book,
    AUTHOR = {Oxley, James},
     TITLE = {Matroid theory},
    SERIES = {Oxford Graduate Texts in Mathematics},
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 PUBLISHER = {Oxford University Press, Oxford},
      YEAR = {2011},
     PAGES = {xiv+684},
   MRCLASS = {05-01 (05B35 90C27)},
  MRNUMBER = {2849819},
MRREVIEWER = {Maruti M. Shikare},
       DOI = {10.1093/acprof:oso/9780198566946.001.0001},
}

@book{Santos,
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  author={Santos, Francisco},
  year={2002},
  publisher={American Mathematical Soc.}
} 

@article {SW,
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     TITLE = {The lattice of integer flows of a regular matroid},
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    VOLUME = {100},
      YEAR = {2010},
    NUMBER = {6},
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  MRNUMBER = {2718687},
MRREVIEWER = {Gary Gordon},
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}

@misc{Wagner,
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  year={2000}
}


@article {SW_torsors,
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     TITLE = {On torsor structures on spanning trees},
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  FJOURNAL = {SIAM Journal on Discrete Mathematics},
    VOLUME = {37},
      YEAR = {2023},
    NUMBER = {3},
     PAGES = {2126--2147},
   MRCLASS = {05C10 (05C05 05C25)},
  MRNUMBER = {4643471},
       DOI = {10.1137/22M149154X},
}


@article {Ding_torsors,
    AUTHOR = {Ding, Changxin},
     TITLE = {The rotor-routing torsor and the {B}ernardi torsor disagree
              for every non-planar ribbon graph},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {28},
      YEAR = {2021},
    NUMBER = {4},
     PAGES = {Paper No. 4.1, 17},
   MRCLASS = {05C10 (05C25)},
  MRNUMBER = {4328899},
       DOI = {10.37236/10275},
}


@article{CCG,
  title={Rotor-routing and spanning trees on planar graphs},
  author={Chan, Melody and Church, Thomas and Grochow, Joshua A},
  journal={International Mathematics Research Notices},
  volume={2015},
  number={11},
  year={2015},
  publisher={Oxford University Press}
}

@article{trinity_sandpile,
    AUTHOR = {K\'{a}lm\'{a}n, Tam\'{a}s and Lee, Seunghun and T\'{o}thm\'{e}r\'{e}sz, Lilla},
     TITLE = {The sandpile group of a trinity and a canonical definition for
              the planar {B}ernardi action},
   JOURNAL = {Combinatorica},
  FJOURNAL = {Combinatorica. An International Journal on Combinatorics and
              the Theory of Computing},
    VOLUME = {42},
      YEAR = {2022},
     PAGES = {1283--1316},
      ISSN = {0209-9683},
   MRCLASS = {05E18 (05A19 05C10)},
  MRNUMBER = {4543731},
MRREVIEWER = {Nik Lygeros},
       DOI = {10.1007/s00493-021-4798-9},
       URL = {https://doi.org/10.1007/s00493-021-4798-9},
}

@book{Klivans, 
title="The Mathematics of Chip firing",
publisher="Chapman \& Hall", 
author="Klivans, Caroline",
year="2018"
}

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}