@article{BZ2005,
  author  = {Berenstein, Arkady and Zelevinsky, Andrei},
  title   = {Quantum cluster algebras},
  journal = {Advances in Mathematics},
  volume  = {195},
  number  = {2},
  year    = {2005},
  pages   = {405--455},
  doi     = {10.1016/j.aim.2004.08.003}
}

@article{LLZ2014,
  author        = {Lee, Kyungyong and Li, Li and Zelevinsky, Andrei},
  title         = {Greedy elements in rank 2 cluster algebras},
  journal       = {Selecta Mathematica. New Series},
  volume        = {20},
  number        = {1},
  year          = {2014},
  pages         = {57--82},
  doi           = {10.1007/s00029-012-0115-1},
  eprint        = {1208.2391},
  archivePrefix = {arXiv}
}

@article{LLRZ2014,
  author        = {Lee, Kyungyong and Li, Li and Rupel, Dylan and Zelevinsky, Andrei},
  title         = {Greedy bases in rank 2 quantum cluster algebras},
  journal       = {Proceedings of the National Academy of Sciences of the United States of America},
  volume        = {111},
  number        = {27},
  year          = {2014},
  pages         = {9712--9716},
  doi           = {10.1073/pnas.1313078111},
  eprint        = {1405.2311},
  archivePrefix = {arXiv}
}

@article{LLRZ2016,
  author        = {Lee, Kyungyong and Li, Li and Rupel, Dylan and Zelevinsky, Andrei},
  title         = {The existence of greedy bases in rank 2 quantum cluster algebras},
  journal       = {Advances in Mathematics},
  volume        = {300},
  year          = {2016},
  pages         = {360--389},
  doi           = {10.1016/j.aim.2016.03.022},
  eprint        = {1405.2414},
  archivePrefix = {arXiv},
  note          = {Preprint version used for numbered references: arXiv:1405.2414v1}
}

@misc{LiPan2022,
  author        = {Li, Fang and Pan, Jie},
  title         = {Recurrence formula, positivity and polytope basis in cluster algebras via {N}ewton polytopes},
  year          = {2022},
  eprint        = {2201.01440},
  archivePrefix = {arXiv},
  note          = {arXiv:2201.01440v4 (5 May 2025)}
}

@article{SZ2004,
  author  = {Sherman, Paul and Zelevinsky, Andrei},
  title   = {Positivity and canonical bases in rank 2 cluster algebras of finite and affine types},
  journal = {Moscow Mathematical Journal},
  volume  = {4},
  number  = {4},
  year    = {2004},
  pages   = {947--974},
  doi     = {10.17323/1609-4514-2004-4-4-947-974}
}


@article{Rupel2012,
  author = {Rupel, Dylan},
  title = {Proof of the {Kontsevich} non-commutative cluster positivity conjecture},
  journal = {Comptes Rendus Mathematique},
  volume = {350},
  number = {21--22},
  pages = {929--932},
  year = {2012},
  doi = {10.1016/j.crma.2012.10.034},
  eprint = {1201.3426},
  archivePrefix = {arXiv}
}

@article{LLZT2014,
 author={Lee, Kyungyong and Li, Li and Zelevinsky, Andrei},
 title={Positivity and tameness in rank 2 cluster algebras},
 journal={Journal of Algebraic Combinatorics},
 volume={40}, number={3}, pages={823--840}, year={2014},
 doi={10.1007/s10801-014-0509-6},
 eprint={1303.5806}, archivePrefix={arXiv},
 note={Preprint version used for numbered references: arXiv:1303.5806v1}
}