polytropes.bib

@article{AGM2014a,
  author = {Marianne Akian and St\'ephane Gaubert and Andrea Marchesini},
  title = {Tropical bounds for eigenvalues of matrices},
  journal = {Linear Algebra and its Applications},
  year = {2014},
  volume = 446,
  pages = {281--303},
  eprint = {1309.7319},
  doi = {10.1016/j.laa.2013.12.021}
}
@book{Butkovic:2010,
  author = {Butkovi{\v{c}}, Peter},
  title = {Max-linear systems: theory and algorithms},
  series = {Springer Monographs in Mathematics},
  publisher = {Springer-Verlag London, Ltd., London},
  year = {2010},
  pages = {xviii+272},
  isbn = {978-1-84996-298-8},
  mrclass = {15A80 (90C27 91B02 93B03)},
  mrnumber = {2681232 (2011e:15049)},
  doi = {10.1007/978-1-84996-299-5},
  url = {http://dx.doi.org/10.1007/978-1-84996-299-5}
}
@article{DevelinSturmfels:2004,
  author = {Develin, Mike and Sturmfels, Bernd},
  title = {Tropical convexity},
  journal = {Doc. Math.},
  year = {2004},
  volume = {9},
  pages = {1--27 (electronic)},
  note = {correction: ibid., pp.\ 205--206},
  fjournal = {Documenta Mathematica},
  issn = {1431-0635},
  mrclass = {52A30 (52B10 92D15)},
  mrnumber = {MR2054977 (2005i:52010)},
  mrreviewer = {Gerard Sierksma}
}
@misc{JiminezDelaPuente:1205.4162,
  author = {Jim\'enez, Adri\'an and de la Puente, Mar{\'{\i}}a Jes{\'u}s},
  title = {Six combinatorial clases of maximal convex tropical polyhedra},
  year = 2012,
  eprint = {1205.4162}
}
@article{JohnsonKambites:2015,
  author = {Johnson, Marianne and Kambites, Mark},
  title = {Convexity of tropical polytopes},
  journal = {Linear Algebra Appl.},
  fjournal = {Linear Algebra and its Applications},
  volume = {485},
  year = {2015},
  pages = {531--544},
  issn = {0024-3795},
  mrclass = {15A80 (52A01 52B12)},
  mrnumber = {3394163},
  mrreviewer = {Nikolai Krivulin},
  doi = {10.1016/j.laa.2015.08.006},
  url = {http://dx.doi.org/10.1016/j.laa.2015.08.006}
}
@article{JoswigKulas:2010,
  author = {Joswig, Michael and Kulas, Katja},
  title = {Tropical and Ordinary Convexity Combined},
  journal = {Adv. Geometry},
  year = {2010},
  volume = {10},
  pages = {333-352}
}
@article{JoswigLoho:2016,
  author = {Joswig, Michael and Loho, Georg},
  title = {Weighted digraphs and tropical cones},
  journal = {Linear Algebra Appl.},
  volume = {501},
  year = {2016},
  pages = {304-343},
  doi = {10.1016/j.laa.2016.02.027}
}
@article{LamPostnikov:2005,
  author = {Lam, Thomas and Postnikov, Alexander},
  title = {Alcoved polytopes. {I}},
  journal = {Discrete Comput. Geom.},
  year = {2007},
  volume = {38},
  pages = {453--478},
  number = {3},
  coden = {DCGEER},
  fjournal = {Discrete \& Computational Geometry. An International Journal of Mathematics
	and Computer Science},
  issn = {0179-5376},
  mrclass = {52Bxx},
  mrnumber = {MR2352704}
}
@article{delaPuente:2013,
  author = {de la Puente, Mar{\'{\i}}a Jes{\'u}s},
  title = {On tropical {K}leene star matrices and alcoved polytopes},
  journal = {Kybernetika (Prague)},
  fjournal = {Kybernetika},
  volume = {49},
  year = {2013},
  number = {6},
  pages = {897--910},
  issn = {0023-5954},
  mrclass = {15A80},
  mrnumber = {3182647}
}
@book{Schrijver03:CO_A,
  title = {Combinatorial optimization. {P}olyhedra and efficiency. {V}ol. {A}},
  publisher = {Springer-Verlag},
  year = {2003},
  author = {Schrijver, Alexander},
  volume = {24},
  pages = {xxxviii+647},
  series = {Algorithms and Combinatorics},
  address = {Berlin},
  note = {Paths, flows, matchings, Chapters 1--38},
  isbn = {3-540-44389-4},
  mrclass = {90-02 (05-02 52B55 68Q25 68R10 90C27 90C35 90C57)},
  mrnumber = {MR1956924 (2004b:90004a)},
  mrreviewer = {Alexander I. Barvinok}
}
@article{Sergeev:2007,
  author = {Sergeev, Serge{\u\i}},
  title = {Max-plus definite matrix closures and their eigenspaces},
  journal = {Linear Algebra Appl.},
  fjournal = {Linear Algebra and its Applications},
  volume = {421},
  year = {2007},
  number = {2-3},
  pages = {182--201},
  issn = {0024-3795},
  coden = {LAAPAW},
  mrclass = {15A18 (06F15 52A01 52A99)},
  mrnumber = {2294335},
  mrreviewer = {Hans Arwed Keller},
  doi = {10.1016/j.laa.2006.02.038},
  url = {http://dx.doi.org/10.1016/j.laa.2006.02.038}
}
@article{SturmfelsTran:2013,
  author = {Sturmfels, Bernd and Tran, Ngoc Mai},
  title = {Combinatorial types of tropical eigenvectors},
  journal = {Bull. Lond. Math. Soc.},
  fjournal = {Bulletin of the London Mathematical Society},
  volume = {45},
  year = {2013},
  number = {1},
  pages = {27--36},
  issn = {0024-6093},
  mrclass = {05C50 (14T05 91B14)},
  mrnumber = {3033951},
  doi = {10.1112/blms/bds058},
  url = {http://dx.doi.org/10.1112/blms/bds058}
}
@misc{Tran:1310.2012,
  author = {Tran, Ngoc Mai},
  title = {Enumerating Polytropes},
  year = 2013,
  eprint = {1310.2012}
}

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