publications

Publications

The references are sorted by date of appearance, the most recent papers are at the top.

  1. Benjamin Assarf, Ewgenij Gawrilow, Katrin Herr, Michael Joswig, Benjamin Lorenz, Andreas Paffenholz, Thomas Rehn. Computing convex hulls and counting integer points with polymake. Math. Program. Comput (1–38). Springer, Berlin/Heidelberg, 2017.
  2. Sven Herrmann, Michael Joswig, Marc E. Pfetsch. Computing the bounded subcomplex of an unbounded polyhedron. Comput. Geom (541–551). Elsevier (North-Holland), Amsterdam, 2013.
  3. Michael Joswig, Andreas Paffenholz. Defect polytopes and counter-examples with polymake. ACM Commun. Comput. Algebra (177–179). Association for Computing Machinery (ACM), New York, NY, 2011.
  4. Ewgenij Gawrilow, Michael Joswig, Thilo Rörig, Nikolaus Witte. Drawing polytopal graphs with polymake. Comput. Vis. Sci (99–110). Springer, Berlin/Heidelberg, 2010.
  5. Michael Joswig, Benjamin Müller, Andreas Paffenholz. polymake and lattice polytopes (491–502). Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS), 2009.
  6. Ewgenij Gawrilow, Michael Joswig. Geometric reasoning with polymake (37-52). Gesellschaft für wissenschaftliche Datenverarbeitung mbh Göttingen, 2005.
  7. Ewgenij Gawrilow, Michael Joswig. polymake: an approach to modular software design in computational geometry (222–231). New York, NY: Association for Computing Machinery (ACM), 2001.
  8. Ewgenij Gawrilow, Michael Joswig. polymake: a framework for analyzing convex polytopes (43–73). Basel: Birkhäuser, 2000.
  1. Joseph Doolittle, Eran Nevo, Guillermo Pineda-Villavicencio, Julien Ugon, David Yost. On the reconstruction of polytopes. Discrete Comput. Geom (285–302). Springer US, New York, NY, 2019.
  2. Cesar Ceballos, Arnau Padrol, Camilo Sarmiento. Geometry of \(\nu \)-Tamari lattices in types \(A\) and \(B\). Trans. Am. Math. Soc (2575–2622). American Mathematical Society (AMS), Providence, RI, 2019.
  3. Jörg Grande. Red-green refinement of simplicial meshes in \(d\) dimensions. Math. Comput (751–782). American Mathematical Society (AMS), Providence, RI, 2019.
  4. Simon Hampe, Michael Joswig, Benjamin Schröter. Algorithms for tight spans and tropical linear spaces. J. Symb. Comput (116–128). Elsevier (Academic Press), London, 2019.
  5. Maria Angelica Cueto, Hannah Markwig. Tropical geometry of genus two curves. J. Algebra (457–512). Elsevier (Academic Press), San Diego, CA, 2019.
  6. Holger Eble, Michael Joswig, Lisa Lamberti, William B. Ludington. Cluster partitions and fitness landscapes of the Drosophila fly microbiome. J. Math. Biol (861–899). Springer, Berlin/Heidelberg, 2019.
  7. Nikolai Yu. Zolotykh, Sergei I. Bastrakov. Two variations of graph test in double description method. Comput. Appl. Math (9). Springer, Berlin/Heidelberg; Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC), São Carlos, 2019.
  8. Benjamin Schröter. Multi-splits and tropical linear spaces from nested matroids. Discrete Comput. Geom (661–685). Springer US, New York, NY, 2019.
  9. Charles Jordan, Michael Joswig, Lars Kastner. Parallel enumeration of triangulations. Electron. J. Comb (research paper p3.6, 27). Prof. André Kündgen c/o California State University San Marcos, Deptartment of Mathematics, San Marcos, CA, 2018.
  10. Michael Joswig, Lars Kastner. New counts for the number of triangulations of cyclic polytopes (264–271). Springer, Cham, 2018.
  11. Ali Alilooee, Ivan Soprunov, Javid Validashti. Generalized multiplicities of edge ideals. J. Algebr. Comb (441–472). Springer US, New York, NY, 2018.
  12. Benjamin Assarf, Michael Joswig, Julian Pfeifle. Webs of stars or how to triangulate free sums of point configurations. J. Comb. Theory, Ser. A (183–214). Elsevier (Academic Press), San Diego, CA, 2018.
  13. Bo Lin, Ruriko Yoshida. Tropical Fermat-Weber points. SIAM J. Discrete Math (1229–1245). Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2018.
  14. Francesco Grande, Arnau Padrol, Raman Sanyal. Extension complexity and realization spaces of hypersimplices. Discrete Comput. Geom (621–642). Springer US, New York, NY, 2018.
  15. Claudio Fontanari, Riccardo Ghiloni, Paolo Lella. A computational approach to the ample cone of moduli spaces of curves. Int. J. Algebra Comput (37–51). World Scientific, Singapore, 2018.
  16. Michael Joswig, Benjamin Schröter. The degree of a tropical basis. Proc. Am. Math. Soc (961–970). American Mathematical Society (AMS), Providence, RI, 2018.
  17. Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, Michael Joswig. Log-barrier interior point methods are not strongly polynomial. SIAM J. Appl. Algebra Geom (140–178). Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2018.
  18. Sören Berg, Katharina Jochemko, Laura Silverstein. Ehrhart tensor polynomials. Linear Algebra Appl (72–93). Elsevier (North-Holland), New York, NY, 2018.
  19. Simon Telen, Bernard Mourrain, Marc Van Barel. Solving polynomial systems via truncated normal forms. SIAM J. Matrix Anal. Appl (1421–1447). Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2018.
  20. Anna Seigal, Guido Montúfar. Mixtures and products in two graphical models. J. Algebr. Stat (1–20). 2018. doi: 10.18409/jas.v9i1.90. https://doi.org/10.18409/jas.v9i1.90
  21. Federico Castillo, Fu Liu, Benjamin Nill, Andreas Paffenholz. Smooth polytopes with negative Ehrhart coefficients. J. Comb. Theory, Ser. A (316–331). Elsevier (Academic Press), San Diego, CA, 2018.
  22. David Avis, Charles Jordan. mplrs: a scalable parallel vertex/facet enumeration code. Math. Program. Comput (267–302). Springer, Berlin/Heidelberg, 2018.
  23. Bea Schumann, Jacinta Torres. A non-levi branching rule in terms of Littelmann paths. Proc. Lond. Math. Soc. (3) (1077–1100). 2018. doi: 10.1112/plms.12175. https://doi.org/10.1112/plms.12175
  24. Johannes Hofscheier, Lukas Katthän, Benjamin Nill. Ehrhart theory of spanning lattice polytopes. Int. Math. Res. Not. IMRN (5947–5973). 2018. doi: 10.1093/imrn/rnx065. https://doi.org/10.1093/imrn/rnx065
  25. Karim A. Adiprasito, Bruno Benedetti, Frank H. Lutz. Extremal examples of collapsible complexes and random discrete Morse theory. Discrete Comput. Geom (824–853). Springer US, New York, NY, 2017.
  26. P. E. Haxell, A. D. Scott. On lower bounds for the matching number of subcubic graphs. J. Graph Theory (336–348). Wiley, Hoboken, NJ, 2017.
  27. Michael Joswig, Benjamin Schröter. Matroids from hypersimplex splits. J. Comb. Theory, Ser. A (254–284). Elsevier (Academic Press), San Diego, CA, 2017.
  28. Ulf-Rainer Fiebig, Kirstin Strokorb, Martin Schlather. The realization problem for tail correlation functions. Extremes (121–168). Springer US, New York, NY, 2017.
  29. Asghar Moeini. Identification of unidentified equality constraints for integer programming problems. Eur. J. Oper. Res (460–467). Elsevier (North-Holland), Amsterdam, 2017.
  30. Sarah B. Brodsky, Cesar Ceballos, Jean-Philippe Labbé. Cluster algebras of type \(D_4\), tropical planes, and the positive tropical Grassmannian. Beitr. Algebra Geom (25–46). Springer, Berlin/Heidelberg, 2017.
  31. Simon Keicher, Thomas Kremer. A test for monomial containment. J. Symb. Comput (74–90). Elsevier (Academic Press), London, 2017.
  32. Xavier Caruso. Estimation des dimensions de certaines variétés de Kisin. J. Reine Angew. Math (1–77). De Gruyter, Berlin, 2017.
  33. Simon Hampe. The intersection ring of matroids. J. Comb. Theory, Ser. B (578–614). Elsevier (Academic Press), San Diego, CA, 2017.
  34. József Balogh, Ping Hu, Bernard Lidický, Florian Pfender, Jan Volec, Michael Young. Rainbow triangles in three-colored graphs. J. Comb. Theory, Ser. B (83–113). Elsevier (Academic Press), San Diego, CA, 2017.
  35. Gregory S. Warrington. Orthogonal bases for transportation polytopes applied to Latin squares, magic squares and sudoku boards. Linear Algebra Appl (285–304). Elsevier (North-Holland), New York, NY, 2017.
  36. Teodor Backhaus, Xin Fang, Ghislain Fourier. Degree cones and monomial bases of Lie algebras and quantum groups. Glasg. Math. J (595–621). Cambridge University Press, Cambridge, 2017.
  37. Evgeny Feigin, Ghislain Fourier, Peter Littelmann. Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations. Transform. Groups (321–352). Springer (Birkhäuser), Boston, MA, 2017.
  38. Jules Depersin, Stéphane Gaubert, Michael Joswig. A tropical isoperimetric inequality. Sémin. Lothar. Comb (78b.27, 12). Universität Wien, Fakultät für Mathematik, Wien, 2017.
  39. Bo Lin, Bernd Sturmfels, Xiaoxian Tang, Ruriko Yoshida. Convexity in tree spaces. SIAM J. Discrete Math (2015–2038). Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2017.
  40. Andreas Gathmann, Dennis Ochse. Moduli spaces of curves in tropical varieties (253–286). Cham: Springer, 2017.
  41. Raul Epure, Yue Ren, Hans Schönemann. The polymake interface in singular and its applications (109–117). Springer, Cham, 2017.
  42. Andreas Gathmann, Hannah Markwig, Dennis Ochse. Tropical moduli spaces of stable maps to a curve (287–309). Cham: Springer, 2017.
  43. Winfried Bruns, Richard Sieg, Christof Söger. Normaliz 2013–2016 (123–146). Cham: Springer, 2017.
  44. Johannes Rauh. The polytope of $k$-star densities. Electron. J. Combin (Paper 1.4, 21). 2017.
  45. Michał Lasoń, Mateusz Michałek. Non-normal very ample polytopes—constructions and examples. Exp. Math (130–137). 2017. doi: 10.1080/10586458.2015.1128370. https://doi.org/10.1080/10586458.2015.1128370
  46. Sonia Balagopalan. On a vertex-minimal triangulation of $\mathbb R\rm P^4$. Electron. J. Combin (Paper 1.52, 23). 2017.
  47. Emmanuel Tsukerman, Ellen Veomett. A general method to determine limiting optimal shapes for edge-isoperimetric inequalities. Electron. J. Combin (Paper 1.26, 22). 2017.
  48. Andreas Paffenholz. polyDB: a database for polytopes and related objects (533–547). Cham: Springer, 2017.
  49. Hayato Waki, Florin Nae. Boundary modeling in model-based calibration for automotive engines via the vertex representation of the convex hulls. Pac. J. Math. Ind (1–7). Kyushu University, Faculty of Mathematics, Institute of Mathematics for Industry, Fukuoka; Springer (SpringerOpen), Berlin/Heidelberg, 2017.
  50. Thorsten Theobald. Some recent developments in spectrahedral computation (717–739). Cham: Springer, 2017.
  51. Lars Kastner. Toric Ext and Tor in polymake and Singular: the two-dimensional case and beyond (423–441). Cham: Springer, 2017.
  52. Stefan Forcey, Logan Keefe, William Sands. Facets of the balanced minimal evolution polytope. J. Math. Biol (447–468). Springer, Berlin/Heidelberg, 2016.
  53. Benjamin Assarf, Benjamin Nill. A bound for the splitting of smooth Fano polytopes with many vertices. J. Algebr. Comb (153–172). Springer US, New York, NY, 2016.
  54. Ghislain Fourier. PBW-degenerated Demazure modules and Schubert varieties for triangular elements. J. Comb. Theory, Ser. A (132–152). Elsevier (Academic Press), San Diego, CA, 2016.
  55. Jason Cantarella, Clayton Shonkwiler. The symplectic geometry of closed equilateral random walks in 3-space. Ann. Appl. Probab (549–596). Institute of Mathematical Statistics (IMS), Beachwood, OH/Bethesda, MD, 2016.
  56. Vissarion Fisikopoulos, Luis Peñaranda. Faster geometric algorithms via dynamic determinant computation. Comput. Geom (1–16). Elsevier (North-Holland), Amsterdam, 2016.
  57. Jeff Sommars, Jan Verschelde. Pruning algorithms for pretropisms of Newton polytopes (489–503). Cham: Springer, 2016.
  58. Mesut Şahin, Ivan Soprunov. Multigraded Hilbert functions and toric complete intersection codes. J. Algebra (446–467). Elsevier (Academic Press), San Diego, CA, 2016.
  59. Mateusz Michałek, Rosa M. Miró-Roig. Smooth monomial Togliatti systems of cubics. J. Comb. Theory, Ser. A (66–87). Elsevier (Academic Press), San Diego, CA, 2016.
  60. Xin Fang, Ghislain Fourier. Marked chain-order polytopes. Eur. J. Comb (267–282). Elsevier (Academic Press), London, 2016.
  61. Jean-Paul Doignon, Samuel Fiorini, Selim Rexhep. The linear extension polytope of a poset (81–84). Amsterdam: Elsevier, 2016.
  62. Liam Solus, Caroline Uhler, Ruriko Yoshida. Extremal positive semidefinite matrices whose sparsity pattern is given by graphs without \(K_{5}\) minors. Linear Algebra Appl (247–275). Elsevier (North-Holland), New York, NY, 2016.
  63. Hans Schönemann. Extending singular with new types and algorithms (110–113). Cham: Springer, 2016.
  64. Ewgenij Gawrilow, Simon Hampe, Michael Joswig. The polymake XML file format (403–410). Cham: Springer, 2016.
  65. Hans-Gert Gräbe. Semantic-aware fingerprints of symbolic research data (411–418). Cham: Springer, 2016.
  66. Michael Joswig. Book review of: D. Maclagan and B. Sturmfels, Introduction to tropical geometry. Jahresber. Dtsch. Math.-Ver (233–237). Springer, Berlin/Heidelberg, 2016.
  67. Janko Böhm, Wolfram Decker, Simon Keicher, Yue Ren. Current challenges in developing open source computer algebra systems (3–24). Springer, [Cham], 2016. doi: 10.1007/978-3-319-32859-1_1. https://doi.org/10.1007/978-3-319-32859-1_1
  68. Malkhaz Bakuradze, Alexander Gamkrelidze, Joseph Gubeladze. Affine hom-complexes. Port. Math (183–205). 2016. doi: 10.4171/PM/1984. https://doi.org/10.4171/PM/1984
  69. Michael Joswig, Georg Loho, Benjamin Lorenz, Benjamin Schröter. Linear programs and convex hulls over fields of Puiseux fractions (429–445). Springer, [Cham], 2016. doi: 10.1007/978-3-319-32859-1_37. https://doi.org/10.1007/978-3-319-32859-1_37
  70. Ghislain Fourier. Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence. J. Pure Appl. Algebra (606–620). Elsevier (North-Holland), Amsterdam, 2016.
  71. Erik Friese, Frieder Ladisch. Affine symmetries of orbit polytopes. Adv. Math (386–425). Elsevier (Academic Press), San Diego, CA, 2016.
  72. Michel Deza, Mathieu Dutour Sikirić. Enumeration of the facets of cut polytopes over some highly symmetric graphs. Int. Trans. Oper. Res (853–860). Wiley, Oxford; International Federation of Operational Research Societies (IFORS), 2016.
  73. Christopher Hojny, Marc E. Pfetsch. A polyhedral investigation of star colorings. Discrete Appl. Math (59–78). Elsevier (North-Holland), Amsterdam, 2016.
  74. Samuel Fiorini, Vissarion Fisikopoulos, Marco Macchia. Two-level polytopes with a prescribed facet (285–296). Cham: Springer, 2016.
  75. Winfried Bruns, Bogdan Ichim, Christof Söger. The power of pyramid decomposition in Normaliz. J. Symb. Comput (513–536). Elsevier (Academic Press), London, 2016.
  76. Gennadiy Averkov, Barbara Langfeld. Homometry and direct-sum decompositions of lattice-convex sets. Discrete Comput. Geom (216–249). Springer US, New York, NY, 2016.
  77. Simon Hampe. Combinatorics of tropical Hurwitz cycles. J. Algebr. Comb (1027–1058). Springer US, New York, NY, 2015.
  78. Guido F. Montúfar, Jason Morton. When does a mixture of products contain a product of mixtures?. SIAM J. Discrete Math (321–347). Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2015.
  79. Joseph Gubeladze, Jack Love. Vertex maps between \(\triangle \), \(\square\), and \(\diamond\). Geom. Dedicata (375–399). Springer Netherlands, Dordrecht, 2015.
  80. Alexandru Constantinescu, Matey Mateev. Determinantal schemes and pure O-sequences. J. Pure Appl. Algebra (3873–3888). Elsevier (North-Holland), Amsterdam, 2015.
  81. Andries E. Brouwer, Jan Draisma, Bart J. Frenk. Lossy gossip and composition of metrics. Discrete Comput. Geom (890–913). Springer US, New York, NY, 2015.
  82. M. Hellus, R. Waldi. On the number of numerical semigroups containing two coprime integers \(p\) and \(q\). Semigroup Forum (833–842). Springer US, New York, NY, 2015.
  83. Benjamin Lorenz, Benjamin Nill. On smooth Gorenstein polytopes. Tohoku Math. J. (2) (513–530). Tohoku University, Mathematical Institute, Sendai, 2015.
  84. Stefan Lörwald, Gerhard Reinelt. PANDA: a software for polyhedral transformations. EURO J. Comput. Optim (297–308). Springer, Berlin/Heidelberg; EURO - Association of European Operational Research Societies, 2015.
  85. Satya Swarup Samal, Dima Grigoriev, Holger Fröhlich, Andreas Weber, Ovidiu Radulescu. A geometric method for model reduction of biochemical networks with polynomial rate functions. Bull. Math. Biol (2180–2211). Springer US, New York, NY, 2015.
  86. Giovanni Gaiffi. Permutonestohedra. J. Algebr. Comb (125–155). Springer US, New York, NY, 2015.
  87. Sarah Brodsky, Michael Joswig, Ralph Morrison, Bernd Sturmfels. Moduli of tropical plane curves. Res. Math. Sci (31). Springer International Publishing (SpringerOpen), Cham, 2015.
  88. Hassan Errami, Markus Eiswirth, Dima Grigoriev, Werner M. Seiler, Thomas Sturm, Andreas Weber. Detection of Hopf bifurcations in chemical reaction networks using convex coordinates. J. Comput. Phys (279–302). Elsevier (Academic Press), Amsterdam, 2015.
  89. Brian Green, Nicholas A. Scoville, Mimi Tsuruga. Estimating the discrete geometric Lusternik-{S}chnirelmann category. Topol. Methods Nonlinear Anal (103–116). 2015. doi: 10.12775/TMNA.2015.006. https://doi.org/10.12775/TMNA.2015.006
  90. Andreas Paffenholz. Faces of Birkhoff polytopes. Electron. J. Combin (Paper 1.67, 36). 2015.
  91. Oliver Braun, Renaud Coulangeon, Gabriele Nebe, Sebastian Schönnenbeck. Computing in arithmetic groups with Voronoı̈'s algorithm. J. Algebra (263–285). Elsevier (Academic Press), San Diego, CA, 2015.
  92. Tristram Bogart, Christian Haase, Milena Hering, Benjamin Lorenz, Benjamin Nill, Andreas Paffenholz, Günter Rote, Francisco Santos, Hal Schenck. Finitely many smooth \(d\)-polytopes with \(n\) lattice points. Isr. J. Math (301–329). Springer, Berlin/Heidelberg; Hebrew University Magnes Press, Jerusalem, 2015.
  93. Karim Adiprasito, Bruno Benedetti. Tight complexes in 3-space admit perfect discrete Morse functions. Eur. J. Comb (71–84). Elsevier (Academic Press), London, 2015.
  94. Qingchun Ren, Jürgen Richter-Gebert, Bernd Sturmfels. Cayley-{B}acharach formulas. Amer. Math. Monthly (845–854). 2015. doi: 10.4169/amer.math.monthly.122.9.845. https://doi.org/10.4169/amer.math.monthly.122.9.845
  95. Adam Bohn, Yuri Faenza, Samuel Fiorini, Vissarion Fisikopoulos, Marco Macchia, Kanstantsin Pashkovich. Enumeration of 2-level polytopes (191–202). Berlin: Springer, 2015.
  96. Mateusz Michałek. Toric varieties in phylogenetics. Dissertationes Math (86). 2015.
  97. Barbara Baumeister, Christian Haase, Benjamin Nill, Andreas Paffenholz. Polytopes associated to dihedral groups. Ars Math. Contemp (30–38). 2014. doi: 10.26493/1855-3974.289.91d. https://doi.org/10.26493/1855-3974.289.91d
  98. Valery Alexeev, Angela Gibney, David Swinarski. Higher-level $\mathfrak{sl}_2$ conformal blocks divisors on $\overline M_{0,n}$. Proc. Edinb. Math. Soc. (2) (7–30). 2014. doi: 10.1017/S0013091513000941. https://doi.org/10.1017/S0013091513000941
  99. Matthias Henze. On counterexamples to a conjecture of Wills and Ehrhart polynomials whose roots have equal real parts. Electron. J. Combin (Paper 1.28, 12). 2014.
  100. Michał Adamaszek. Small flag complexes with torsion. Canad. Math. Bull (225–230). 2014. doi: 10.4153/CMB-2013-032-9. https://doi.org/10.4153/CMB-2013-032-9
  101. Derek Krepski. Prequantization of the moduli space of flat $\mathrm{PU}(p)$-bundles with prescribed boundary holonomies. SIGMA Symmetry Integrability Geom. Methods Appl (Paper 109, 13). 2014. doi: 10.3842/SIGMA.2014.109. https://doi.org/10.3842/SIGMA.2014.109
  102. V. A. Bondarenko, A. V. Nikolaev, M. E. Symanovich, R. O. Shemyakin. On a recognition problem on cut polytope relaxations. Autom. Remote Control (1626–1636). Springer US, New York, NY; Pleiades Publishing, New York, NY; MAIK ``Nauka/Interperiodica'', Moscow, 2014.
  103. Sven Herrmann, Michael Joswig, David E Speyer. Dressians, tropical Grassmannians, and their rays. Forum Math (1853–1881). 2014. doi: 10.1515/forum-2012-0030. https://doi.org/10.1515/forum-2012-0030
  104. Ulrich Derenthal, Andreas-Stephan Elsenhans, Jörg Jahnel. On the factor alpha in Peyre's constant. Math. Comput (965–977). American Mathematical Society (AMS), Providence, RI, 2014.
  105. Simon Hampe. a-tint: a polymake extension for algorithmic tropical intersection theory. Eur. J. Comb (579–607). Elsevier (Academic Press), London, 2014.
  106. L. Fehér, T. J. Kluck. New compact forms of the trigonometric Ruijsenaars-Schneider system. Nucl. Phys., B (97–127). Elsevier (North-Holland), Amsterdam, 2014.
  107. David Haws, Abraham Martı́n del Campo, Akimichi Takemura, Ruriko Yoshida. Markov degree of the three-state toric homogeneous Markov chain model. Beitr. Algebra Geom (161–188). Springer, Berlin/Heidelberg, 2014.
  108. Martin Čadek, Marek Krčál, Jiřı́ Matoušek, Francis Sergeraert, Lukáš Vokřı́nek, Uli Wagner. Computing all maps into a sphere. J. ACM (44). Association for Computing Machinery (ACM), New York, NY, 2014.
  109. Benjamin Assarf, Michael Joswig, Andreas Paffenholz. Smooth Fano polytopes with many vertices. Discrete Comput. Geom (153–194). Springer US, New York, NY, 2014.
  110. Qingchun Ren, Steven V. Sam, Bernd Sturmfels. Tropicalization of classical moduli spaces. Math. Comput. Sci (119–145). Springer (Birkhäuser), Basel, 2014.
  111. Katrin Herr, Thomas Rehn, Achill Schürmann. On lattice-free orbit polytopes. Discrete Comput. Geom (144–172). Springer US, New York, NY, 2014.
  112. Zoran Petrić. On stretching the interval simplex-permutohedron. J. Algebr. Comb (99–125). Springer US, New York, NY, 2014.
  113. Ragnar Freij, Matthias Henze, Moritz W. Schmitt, Günter M Ziegler. Face numbers of centrally symmetric polytopes produced from split graphs. Electron. J. Combin (Paper 32, 15). 2013.
  114. J. A. De Loera, B. Dutra, M. Köppe, S. Moreinis, G. Pinto, J Wu. Software for exact integration of polynomials over polyhedra. Comput. Geom (232–252). 2013. doi: 10.1016/j.comgeo.2012.09.001. https://doi.org/10.1016/j.comgeo.2012.09.001
  115. Ruth Davidson, Seth Sullivant. Polyhedral combinatorics of UPGMA cones. Adv. in Appl. Math (327–338). 2013. doi: 10.1016/j.aam.2012.10.002. https://doi.org/10.1016/j.aam.2012.10.002
  116. Nathan Owen Ilten, Lars Kastner. Calculating generators of multigraded algebras. J. Symbolic Comput (22–33). 2013. doi: 10.1016/j.jsc.2012.03.005. https://doi.org/10.1016/j.jsc.2012.03.005
  117. Xavier Allamigeon, Ricardo D Katz. Minimal external representations of tropical polyhedra. J. Combin. Theory Ser. A (907–940). 2013. doi: 10.1016/j.jcta.2013.01.011. https://doi.org/10.1016/j.jcta.2013.01.011
  118. Arnau Padrol. Many neighborly polytopes and oriented matroids. Discrete Comput. Geom (865–902). 2013. doi: 10.1007/s00454-013-9544-7. https://doi.org/10.1007/s00454-013-9544-7
  119. Milan Studený, David C Haws. On polyhedral approximations of polytopes for learning Bayesian networks. J. Algebr. Stat (59–92). 2013. doi: 10.18409/jas.v4i1.19. https://doi.org/10.18409/jas.v4i1.19
  120. Roland R Ramsahai. Probabilistic causality and detecting collections of interdependence patterns. J. R. Stat. Soc. Ser. B. Stat. Methodol (705–723). 2013. doi: 10.1111/rssb.12006. https://doi.org/10.1111/rssb.12006
  121. Matthias Beck, Jessica De Silva, Gabriel Dorfsman-Hopkins, Joseph Pruitt, Amanda Ruiz. The combinatorics of interval-vector polytopes. Electron. J. Combin (Paper 22, 12). 2013.
  122. Alessandro Rinaldo, Sonja Petrović, Stephen E Fienberg. Maximum likelihood estimation in the $\beta$-model. Ann. Statist (1085–1110). 2013. doi: 10.1214/12-AOS1078. https://doi.org/10.1214/12-AOS1078
  123. Alexander Engström, Patrik Norén. Ideals of graph homomorphisms. Ann. Comb (71–103). Springer (Birkhäuser), Basel, 2013.
  124. David Eppstein, Maarten Löffler. Bounds on the complexity of halfspace intersections when the bounded faces have small dimension. Discrete Comput. Geom (1–21). Springer US, New York, NY, 2013.
  125. Sandra Di Rocco, Christian Haase, Benjamin Nill, Andreas Paffenholz. Polyhedral adjunction theory. Algebra Number Theory (2417–2446). 2013. doi: 10.2140/ant.2013.7.2417. https://doi.org/10.2140/ant.2013.7.2417
  126. Guido F. Montúfar. Mixture decompositions of exponential families using a decomposition of their sample spaces. Kybernetika (23–39). Academy of Sciences of the Czech Republic, Institute of Information Theory and Automation, Prague, 2013.
  127. Richard Bödi, Katrin Herr, Michael Joswig. Algorithms for highly symmetric linear and integer programs. Math. Program (65–90). Springer, Berlin/Heidelberg, 2013.
  128. Xavier Allamigeon, Stéphane Gaubert, Éric Goubault. Computing the vertices of tropical polyhedra using directed hypergraphs. Discrete Comput. Geom (247–279). Springer US, New York, NY, 2013.
  129. Tristram Bogart, Mark Contois, Joseph Gubeladze. Hom-polytopes. Math. Z (1267–1296). Springer, Berlin/Heidelberg, 2013.
  130. Sven Herrmann, Vincent Moulton, Andreas Spillner. Searching for realizations of finite metric spaces in tight spans. Discrete Optim (310–319). Elsevier, Amsterdam, 2013.
  131. Achill Schürmann. Exploiting polyhedral symmetries in social choice. Soc. Choice Welfare (1097–1110). Springer, Berlin/Heidelberg, 2013.
  132. Matjaž Konvalinka, Igor Pak. Triangulations of Cayley and Tutte polytopes. Adv. Math (1–33). Elsevier (Academic Press), San Diego, CA, 2013.
  133. Carsten E. M. C. Lange. Minkowski decomposition of associahedra and related combinatorics. Discrete Comput. Geom (903–939). Springer US, New York, NY, 2013.
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  153. Anna-Sapfo Malaspinas, Nicholas Eriksson, Peter Huggins. Parametric analysis of alignment and phylogenetic uncertainty. Bull. Math. Biol (795–810). Springer US, New York, NY, 2011.
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  157. Lars Schewe. Nonrealizable minimal vertex triangulations of surfaces: showing nonrealizability using oriented matroids and satisfiability solvers. Discrete Comput. Geom (289–302). Springer US, New York, NY, 2010.
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  166. Anne Shiu, Bernd Sturmfels. Siphons in chemical reaction networks. Bull. Math. Biol (1448–1463). Springer US, New York, NY, 2010.
  167. Sven Herrmann, Anders Jensen, Michael Joswig, Bernd Sturmfels. How to draw tropical planes. Electron. J. Combin (Research Paper 6, 26). 2009. http://www.combinatorics.org/Volume_16/Abstracts/v16i2r6.html
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  172. Alexander Postnikov, David Speyer, Lauren Williams. Matching polytopes, toric geometry, and the totally non-negative Grassmannian. J. Algebr. Comb (173–191). Springer US, New York, NY, 2009.
  173. Jesús A. De Loera, Edward D. Kim, Shmuel Onn, Francisco Santos. Graphs of transportation polytopes. J. Comb. Theory, Ser. A (1306–1325). Elsevier (Academic Press), San Diego, CA, 2009.
  174. Thilo Rörig, Nikolaus Witte, Günter M. Ziegler. Zonotopes with large 2D-cuts. Discrete Comput. Geom (527–541). Springer US, New York, NY, 2009.
  175. Matthias Beck, Christian Haase, Steven V Sam. Grid graphs, Gorenstein polytopes, and domino stackings. Graphs Comb (409–426). Springer Japan, Tokyo, 2009.
  176. Mathieu Dutour Sikirić, Graham Ellis. Wythoff polytopes and low-dimensional homology of Mathieu groups. J. Algebra (4143–4150). Elsevier (Academic Press), San Diego, CA, 2009.
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  181. J. Rusinko. Equivalence of mirror families constructed from toric degenerations of flag varieties. Transform. Groups (173–194). Springer (Birkhäuser), Boston, MA, 2008.
  182. Nico Düvelmeyer. General embedding problems and two-distance sets in Minkowski planes. Beiträge Algebra Geom (549–598). 2008.
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  189. Peter Huggins, Bernd Sturmfels, Josephine Yu, Debbie S. Yuster. The hyperdeterminant and triangulations of the 4-cube. Math. Comput (1653–1679). American Mathematical Society (AMS), Providence, RI, 2008.
  190. Satyan Devadoss, Stefan Forcey. Marked tubes and the graph multiplihedron. Algebr. Geom. Topol (2081–2108). Mathematical Sciences Publishers (MSP), Berkeley, CA; Geometry & Topology Publications c/o University of Warwick, Mathematics Institute, Coventry, 2008.
  191. Stefan Forcey. Convex hull realizations of the multiplihedra. Topology Appl (326–347). Elsevier (North-Holland), Amsterdam, 2008.
  192. Raymond Hemmecke, Jason Morton, Anne Shiu, Bernd Sturmfels, Oliver Wienand. Three counter-examples on semi-graphoids. Combin. Probab. Comput (239–257). 2008. doi: 10.1017/S0963548307008838. https://doi.org/10.1017/S0963548307008838
  193. Sven Herrmann, Michael Joswig. Bounds on the $f$-vectors of tight spans. Contrib. Discrete Math (161–184). 2007.
  194. Stephen Fienberg. Expanding the statistical toolkit with algebraic statistics. Statist. Sinica (1261–1272). 2007.
  195. Peter Huggins, Lior Pachter, Bernd Sturmfels. Toward the human genotope. Bull. Math. Biol (2723–2735). 2007. doi: 10.1007/s11538-007-9244-7. https://doi.org/10.1007/s11538-007-9244-7
  196. Julie Christophe, Jean-Paul Doignon. The polytope of \(m\)-subspaces of a finite affine space. RAIRO, Oper. Res (317–344). EDP Sciences, Les Ulis; Société de Mathématiques Appliquées et Industrielles (SMAI), Institut Henri Poincaré, Paris, 2007.
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  200. Michael Joswig, Nikolaus Witte. Products of foldable triangulations. Adv. Math (769–796). Elsevier (Academic Press), San Diego, CA, 2007.
  201. Bernd Sturmfels, Jenia Tevelev, Josephine Yu. The Newton polytope of the implicit equation. Mosc. Math. J (327–346, 351). 2007. doi: 10.17323/1609-4514-2007-7-2-327-346. https://doi.org/10.17323/1609-4514-2007-7-2-327-346
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  214. M. Beck, J. A. De Loera, M. Develin, J. Pfeifle, R. P Stanley. Coefficients and roots of Ehrhart polynomials (15–36). Amer. Math. Soc., Providence, RI, 2005. doi: 10.1090/conm/374/06897. https://doi.org/10.1090/conm/374/06897
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  216. Michael Joswig, Günter M. Ziegler. Convex hulls, oracles, and homology. J. Symb. Comput (1247–1259). Elsevier (Academic Press), London, 2004.
  217. Bernd Sturmfels, Josephine Yu. Classification of six-point metrics. Electron. J. Combin (Research Paper 44, 16). 2004. http://www.combinatorics.org/Volume_11/Abstracts/v11i1r44.html
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  221. M. M. Bayer, A. M. Bruening, J. D Stewart. A combinatorial study of multiplexes and ordinary polytopes. Discrete Comput. Geom (49–63). 2002. doi: 10.1007/s00454-001-0051-x. https://doi.org/10.1007/s00454-001-0051-x
  222. Michael Joswig. Projectivities in simplicial complexes and colorings of simple polytopes. Math. Z (243–259). 2002. doi: 10.1007/s002090100381. https://doi.org/10.1007/s002090100381
  223. Christian Haase, Günter M Ziegler. Examples and counterexamples for the Perles conjecture. Discrete Comput. Geom (29–44). 2002. doi: 10.1007/s00454-001-0085-0. https://doi.org/10.1007/s00454-001-0085-0
  224. Michael Joswig, Volker Kaibel, Marc E. Pfetsch, Günter M. Ziegler. Vertex-facet incidences of unbounded polyhedra. Adv. Geom (23–36). De Gruyter, Berlin, 2001.
  225. M. Joswig, G. M Ziegler. Neighborly cubical polytopes. Discrete Comput. Geom (325–344). 2000. doi: 10.1007/s004540010039. https://doi.org/10.1007/s004540010039
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