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@incollection{viro,
	Author = {O. Viro},
	Booktitle = {European Congress of Mathematics, Vol. I (Barcelona, 2000)},
	Date-Added = {2017-05-23 10:05:43 +0000},
	Date-Modified = {2017-05-23 10:06:50 +0000},
	Pages = {135--146},
	Publisher = {Birkh\"auser},
	Series = {Progr. Math., Vol. 201},
	Title = {Dequantization of real algebraic geometry on logarithmic paper},
	Year = {2001}}

@article{akian,
	Author = {M. Akian},
	Date-Added = {2017-05-23 10:03:28 +0000},
	Date-Modified = {2017-05-23 10:05:06 +0000},
	Doi = {10.1090/S0002-9947-99-02153-4},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {4515--4543},
	Title = {Densities of idempotent measures and large deviations},
	Volume = {351},
	Year = {1999},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/S0002-9947-99-02153-4}}

@book{kolomaslov,
	Author = {V. N. Kolokoltsov and V. P. Maslov},
	Date-Added = {2017-05-23 10:01:49 +0000},
	Date-Modified = {2017-05-23 10:02:40 +0000},
	Publisher = {Kluwer Academic Publishers Group},
	Series = {Mathematics and its Applications, Vol. 401},
	Title = {Idempotent Analysis and its Applications},
	Year = {1997}}

@article{cgq02,
	Author = {G. Cohen and S. Gaubert and J.-P. Quadrat},
	Date-Added = {2017-05-23 09:58:06 +0000},
	Date-Modified = {2017-05-23 09:59:32 +0000},
	Doi = {10.1016/j.laa.2003.08.010},
	Journal = {Linear Algebra Appl.},
	Pages = {395--422},
	Title = {Duality and separation theorems in idempotent semimodules},
	Volume = {379},
	Year = {2004},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.laa.2003.08.010}}

@article{JoswigLoho:2016,
	Author = {Joswig, M. and Loho, G.},
	Date-Modified = {2017-04-07 06:10:18 +0000},
	Doi = {10.1016/j.laa.2016.02.027},
	Journal = {Linear Algebra Appl.},
	Pages = {304--343},
	Title = {Weighted digraphs and tropical cones},
	Volume = {501},
	Year = {2016},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.laa.2016.02.027}}

@article{JoswigKulas:2010,
	Author = {Joswig, M. and Kulas, K.},
	Date-Modified = {2017-04-07 06:09:49 +0000},
	Doi = {10.1515/advgeom.2010.012},
	Journal = {Adv. Geometry},
	Pages = {333-352},
	Title = {Tropical and ordinary convexity combined},
	Volume = {10},
	Year = {2010},
	Bdsk-Url-1 = {http://dx.doi.org/10.1515/advgeom.2010.012}}

@book{Butkovic:2010,
	Author = {Butkovi{\v{c}}, P.},
	Date-Modified = {2017-04-07 06:00:04 +0000},
	Doi = {10.1007/978-1-84996-299-5},
	Publisher = {Springer-Verlag London},
	Series = {Springer Monographs in Mathematics},
	Title = {Max-Linear Systems: Theory and Algorithms},
	Year = {2010},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-1-84996-299-5}}

@article{JohnsonKambites:2015,
	Author = {Johnson, M. and Kambites, M.},
	Date-Modified = {2017-04-07 06:08:52 +0000},
	Doi = {10.1016/j.laa.2015.08.006},
	Journal = {Linear Algebra Appl.},
	Pages = {531--544},
	Title = {Convexity of tropical polytopes},
	Volume = {485},
	Year = {2015},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.laa.2015.08.006}}

@misc{Tran:1310.2012,
	Author = {Tran, N. M.},
	Date-Modified = {2017-04-07 06:15:35 +0000},
	Eprint = {1310.2012},
	Eprinttype = {arxiv},
	Title = {Enumerating Polytropes},
	Year = 2013}

@article{Sergeev:2007,
	Author = {Sergeev, S.},
	Date-Modified = {2017-04-07 06:14:15 +0000},
	Doi = {10.1016/j.laa.2006.02.038},
	Journal = {Linear Algebra Appl.},
	Pages = {182--201},
	Title = {Max-plus definite matrix closures and their eigenspaces},
	Volume = {421},
	Year = {2007},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.laa.2006.02.038}}

@misc{JiminezDelaPuente:1205.4162,
	Author = {Jim\'enez, A. and de la Puente, M. J.},
	Date-Modified = {2017-04-07 06:08:21 +0000},
	Eprint = {1205.4162},
	Eprinttype = {arxiv},
	Title = {Six combinatorial clases of maximal convex tropical polyhedra},
	Year = 2012}

@misc{ABGJ:1405.4161,
	Author = {Allamigeon, X. and Benchimol, P. and Gaubert, S. and Joswig, M.},
	Date-Modified = {2017-04-05 07:27:42 +0000},
	Eprint = {1405.4161},
	Eprinttype = {arxiv},
	Title = {Long and winding central paths},
	Year = 2014}

@article{SturmfelsTran:2013,
	Author = {Sturmfels, B. and Tran, N. M.},
	Date-Modified = {2017-04-07 06:14:44 +0000},
	Doi = {10.1112/blms/bds058},
	Journal = {Bull. Lond. Math. Soc.},
	Pages = {27--36},
	Title = {Combinatorial types of tropical eigenvectors},
	Volume = {45},
	Year = {2013},
	Bdsk-Url-1 = {http://dx.doi.org/10.1112/blms/bds058}}

@incollection{DMV:polymake,
	Author = {Gawrilow, E. and Joswig, M.},
	Booktitle = {Polytopes -- Combinatorics and Computation},
	Date-Modified = {2017-04-07 06:07:44 +0000},
	Doi = {10.1007/978-3-0348-8438-9_2},
	Pages = {43--73},
	Publisher = {Birkh\"auser},
	Series = {DMV Sem., Vol. 29},
	Title = {polymake: a Framework for Analyzing Convex Polytopes},
	Year = {2000},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-3-0348-8438-9_2}}

@incollection{DTZ08,
	Author = {Deza, A. and Terlaky, T. and Zinchenko, Y.},
	Booktitle = {Advances in Applied Mathematics and Global Optimization},
	Date-Modified = {2017-04-07 06:03:58 +0000},
	Doi = {10.1007/978-0-387-75714-8_7},
	Pages = {223--256},
	Publisher = {Springer},
	Series = {Adv. Mech. Math., Vol. 17},
	Title = {Central path curvature and iteration-complexity for redundant {K}lee-{M}inty cubes},
	Year = {2009},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-0-387-75714-8_7}}

@book{DDG,
	Date-Modified = {2017-04-07 05:57:44 +0000},
	Editor = {Bobenko, A. I.},
	Publisher = {Springer},
	Title = {Advances in Discrete Differential Geometry},
	Year = 2016}

@article{Blasjo:2005,
	Author = {Bl\r{a}sj\"{o}, V.},
	Date-Modified = {2017-04-05 07:29:46 +0000},
	Doi = {10.2307/30037526},
	Journal = {Amer. Math. Monthly},
	Pages = {526--566},
	Title = {The isoperimetric problem},
	Volume = {112},
	Year = {2005},
	Bdsk-Url-1 = {http://dx.doi.org/10.2307/30037526}}

@article{KosowskyYuille:1994,
	Author = {Kosowsky, J. J. and Yuille, A. L.},
	Date-Modified = {2017-04-07 06:11:18 +0000},
	Doi = {10.1016/0893-6080(94)90081-7},
	Journal = {Neural Networks},
	Pages = {477-490},
	Title = {The invisible hand algorithm: Solving the assignment problem with statistical physics},
	Volume = 7,
	Year = 1994,
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/0893-6080(94)90081-7}}

@article{DevelinYu:2007,
	Author = {Develin, M. and Yu, J.},
	Date-Modified = {2017-04-07 06:02:48 +0000},
	Doi = {10.1080/10586458.2007.10129009},
	Journal = {Experiment. Math.},
	Pages = {277--291},
	Title = {Tropical polytopes and cellular resolutions},
	Volume = {16},
	Year = {2007},
	Bdsk-Url-1 = {http://dx.doi.org/10.1080/10586458.2007.10129009}}

@book{Tropical+Book,
	Author = {Maclagan, D. and Sturmfels, B.},
	Date-Modified = {2017-04-07 06:11:49 +0000},
	Publisher = {American Mathematical Society},
	Series = {Graduate Studies in Mathematics, Vol. 161},
	Title = {Introduction to Tropical Geometry},
	Year = {2015}}

@incollection{RichtergebertSturmfelsTheobald:2005,
	Author = {Richter-Gebert, J. and Sturmfels, B. and Theobald, T.},
	Booktitle = {Idempotent Mathematics and Mathematical Physics},
	Date-Modified = {2017-04-07 06:12:43 +0000},
	Pages = {289--317},
	Publisher = {American Mathematical Society},
	Series = {Contemp. Math., Vol. 377},
	Title = {First steps in tropical geometry},
	Year = {2005}}

@book{Schrijver03:CO_A,
	Author = {Schrijver, A.},
	Date-Modified = {2017-04-07 06:13:46 +0000},
	Publisher = {Springer-Verlag},
	Series = {Algorithms and Combinatorics, Vol. 24},
	Title = {Combinatorial Optimization -- {P}olyhedra and Efficiency. {V}ol. {A}},
	Year = {2003}}

@article{DyerFrieze:1988,
	Author = {Dyer, M. E. and Frieze, A. M.},
	Date-Modified = {2017-04-07 06:04:32 +0000},
	Doi = {10.1137/0217060},
	Journal = {SIAM J. Comput.},
	Pages = {967--974},
	Title = {On the complexity of computing the volume of a polyhedron},
	Volume = {17},
	Year = {1988},
	Bdsk-Url-1 = {http://dx.doi.org/10.1137/0217060}}

@book{Triangulations,
	Author = {De Loera, J. A. and Rambau, J. and Santos, F.},
	Date-Modified = {2017-04-07 06:00:49 +0000},
	Publisher = {Springer-Verlag},
	Series = {Algorithms and Computation in Mathematics, Vol. 25},
	Title = {Triangulations},
	Year = {2010}}

@book{Assignment,
	Author = {Burkard, R. and Dell'Amico, M. and Martello, S.},
	Date-Modified = {2017-04-07 05:58:32 +0000},
	Doi = {10.1137/1.9780898717754},
	Publisher = {Society for Industrial and Applied Mathematics (SIAM)},
	Title = {Assignment Problems},
	Year = {2009},
	Bdsk-Url-1 = {http://dx.doi.org/10.1137/1.9780898717754}}

@article{alessandrini2013,
	Author = {Alessandrini, D.},
	Date-Modified = {2017-04-05 07:27:01 +0000},
	Doi = {10.1515/advgeom-2012-0020},
	Journal = {Adv. Geom},
	Pages = {155--190},
	Title = {Logarithmic limit sets of real semi-algebraic sets},
	Volume = {13},
	Year = {2013},
	Bdsk-Url-1 = {http://dx.doi.org/10.1515/advgeom-2012-0020}}

@article{Gallai:1958,
	Author = {Gallai, T.},
	Date-Modified = {2017-04-07 06:05:14 +0000},
	Journal = {Acta Math. Acad. Sci. Hungar.},
	Pages = {395--434},
	Title = {Maximum-minimum {S}\"atze \"uber {G}raphen},
	Volume = {9},
	Year = {1958}}