Publications

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

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). 2017. doi: 10.1007/s12532-016-0104-z.
Sven Herrmann, Michael Joswig, Marc E Pfetsch. Computing the bounded subcomplex of an unbounded polyhedron. Comput. Geom (541–551). 2013. doi: 10.1016/j.comgeo.2011.11.002.
Michael Joswig, Andreas Paffenholz. Defect polytopes and counter-examples with polymake. ACM Commun. Comput. Algebra (177–179). 2011. doi: 10.1145/2110170.2110177.
Ewgenij Gawrilow, Michael Joswig, Thilo Rörig, Nikolaus Witte. Drawing polytopal graphs with polymake. Comput. Vis. Sci (99–110). 2010. doi: 10.1007/s00791-009-0127-3.
Michael Joswig, Benjamin Müller, Andreas Paffenholz. textttpolymake and lattice polytopes (491–502). Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS), 2009. https://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAK0141
Ewgenij Gawrilow, Michael Joswig. Geometric reasoning with polymake (37-52). Gesellschaft für wissenschaftliche Datenverarbeitung mbh Göttingen, 2005.
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. doi: 10.1145/378583.378673.
Ewgenij Gawrilow, Michael Joswig. polymake: a framework for analyzing convex polytopes (43–73). Basel: Birkhäuser, 2000.

Alexander Demin, Elizaveta Demitraki, Gleb Pogudin. Exact hierarchical reductions of dynamical models via linear transformations. Commun. Nonlinear Sci. Numer. Simul (16). 2024. doi: 10.1016/j.cnsns.2024.107816.
Geoffrey Mboya, Balázs Szendrői. On K3 fibred Calabi-Yau threefolds in weighted scrolls. Rend. Circ. Mat. Palermo (2) (621–635). 2024. doi: 10.1007/s12215-023-00933-0.
Per Berglund, Yang-Hui He, Elli Heyes, Edward Hirst, Vishnu Jejjala, Andre Lukas. New Calabi-Yau manifolds from genetic algorithms. Phys. Lett., B (10). 2024. doi: 10.1016/j.physletb.2024.138504.
Alheydis Geiger, Marta Panizzut. Computing tropical bitangents to smooth quartic curves in polymake. J. Symb. Comput (17). 2024. doi: 10.1016/j.jsc.2023.102225.
Fabian M. Faulstich, Mathias Oster. Coupled cluster theory: toward an algebraic geometry formulation. SIAM J. Appl. Algebra Geom (138–188). 2024. doi: 10.1137/22M1491113.
Ziqin Feng, Naga Chandra Padmini Nukala. On Vietoris-Rips complexes of finite metric spaces with scale 2. J. Homotopy Relat. Struct (79–98). 2024. doi: 10.1007/s40062-024-00340-x.
Daniel Corey. Initial degenerations of spinor varieties. Eur. J. Math (41). 2024. doi: 10.1007/s40879-023-00715-z.
Oliver Clarke, Fatemeh Mohammadi, Francesca Zaffalon. Toric degenerations of partial flag varieties and combinatorial mutations of matching field polytopes. J. Algebra (90–128). 2024. doi: 10.1016/j.jalgebra.2023.09.026.
Dominik Bendle, Janko Böhm, Yue Ren, Benjamin Schröter. Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians. J. Symb. Comput (28). 2024. doi: 10.1016/j.jsc.2023.102224.
T. Duff, S. Telen, E. Walker, T Yahl. Polyhedral homotopies in Cox coordinates. J. Algebra Appl (35). 2024. doi: 10.1142/S0219498824500737.
Julian Pfeifle. Positive Plücker tree certificates for non-realizability. Exp. Math (69–85). 2024. doi: 10.1080/10586458.2021.1994487.
Andrei Comăneci, Michael Joswig. Tropical medians by transportation. Math. Program (813–839). 2024. doi: 10.1007/s10107-023-01996-8.
Dan Abramovich, Bernd Schober. Desingularization of binomial varieties using toric Artin stacks. Math. Z (25). 2024. doi: 10.1007/s00209-024-03441-8.
Thomas Lam, Alexander Postnikov. Polypositroids. Forum Math. Sigma (67). 2024. doi: 10.1017/fms.2024.11.
Alperen A. Ergür, Timo de Wolff. A polyhedral homotopy algorithm for real zeros. Arnold Math. J (305–338). 2023. doi: 10.1007/s40598-022-00219-w.
Ayush Kumar Tewari. Characterization of tropical plane curves up to genus six. Arch. Math (479–491). 2023. doi: 10.1007/s00013-023-01842-5.
Igor P. Vieira, Fernando O. Souza, Leonardo A Mozelli. Geometric approach to robust stability analysis of linear parameter-varying systems: computational trade-offs between the exact and the simplex convex hulls. Appl. Math. Comput (15). 2023. doi: 10.1016/j.amc.2023.128017.
Cheng Wang, Ri-Gui Zhou. Secure multi-party convex hull protocol based on quantum homomorphic encryption. Quantum Inf. Process (12). 2023. doi: 10.1007/s11128-022-03779-0.
Markus Chimani, Martina Juhnke-Kubitzke, Alexander Nover. On the bond polytope. Adv. Geom (461–480). 2023. doi: 10.1515/advgeom-2023-0014.
Frederik Wieder, Martin Henk, Alexander Bockmayr. On the geometry of elementary flux modes. J. Math. Biol (22). 2023. doi: 10.1007/s00285-023-01982-w.
Gonzalo Muñoz, David Salas, Anton Svensson. Exploiting the polyhedral geometry of stochastic linear bilevel programming (363–377). Cham: Springer, 2023. doi: 10.1007/978-3-031-32726-1_26.
Muhammad Ardiyansyah, Dimitra Kosta, Jordi Roca-Lacostena. Embeddability of centrosymmetric matrices capturing the double-helix structure in natural and synthetic DNA. J. Math. Biol (37). 2023. doi: 10.1007/s00285-023-01895-8.
Matteo Castiglioni, Andrea Celli, Alberto Marchesi, Nicola Gatti. Regret minimization in online Bayesian persuasion: handling adversarial receiver's types under full and partial feedback models. Artif. Intell (29). 2023. doi: 10.1016/j.artint.2022.103821.
Daniel Corey, Dante Luber. The Grassmannian of 3-planes in ( mathbbC^8 ) is schön. Algebr. Comb (1273–1299). 2023. doi: 10.5802/alco.302.
Alheydis Geiger, Marta Panizzut. A tropical count of real bitangents to plane quartic curves. Electron. J. Comb (research paper p2.55, 30). 2023. doi: 10.37236/11099.
Rida Ait El Manssour, Anna-Laura Sattelberger. Combinatorial differential algebra of (x^p ). J. Symb. Comput (193–208). 2023. doi: 10.1016/j.jsc.2022.04.010.
Peter Spacek, Charles Wang. Towards Landau-Ginzburg models for cominuscule spaces via the exceptional cominuscule family. J. Algebra (334–393). 2023. doi: 10.1016/j.jalgebra.2023.03.039.
João Gouveia, Antonio Macchia, Amy Wiebe. General non-realizability certificates for spheres with linear programming. J. Symb. Comput (172–192). 2023. doi: 10.1016/j.jsc.2022.04.013. https://hdl.handle.net/10316/100147
Edvard Aksnes. Tropical Poincaré duality spaces. Adv. Geom (345–370). 2023. doi: 10.1515/advgeom-2023-0017. https://urn.nb.no/URN:NBN:no-72569
Federico Castillo, Jean-Philippe Labbé, Julia Liebert, Arnau Padrol, Eva Philippe, Christian Schilling. An effective solution to convex 1-body (N )-representability. Ann. Henri Poincaré (2241–2321). 2023. doi: 10.1007/s00023-022-01264-z.
Taylor Brysiewicz, Holger Eble, Lukas Kühne. Computing characteristic polynomials of hyperplane arrangements with symmetries. Discrete Comput. Geom (1356–1377). 2023. doi: 10.1007/s00454-023-00557-2.
Ruriko Yoshida, Keiji Miura, David Barnhill. Hit and run sampling from tropically convex sets. Algebr. Stat (37–69). 2023. doi: 10.2140/astat.2023.14.37.
B. Ananthanarayan, Sumit Banik, Souvik Bera, Sudeepan Datta. textttFeynGKZ: a emphMathematica package for solving Feynman integrals using GKZ hypergeometric systems. Comput. Phys. Commun (15). 2023. doi: 10.1016/j.cpc.2023.108699.
Christian Bick, Elizabeth Gross, Heather A. Harrington, Michael T Schaub. What are higher-order networks?. SIAM Rev (686–731). 2023. doi: 10.1137/21M1414024.
Andreas Bärmann, Alexander Martin, Oskar Schneider. The bipartite Boolean quadric polytope with multiple-choice constraints. SIAM J. Optim (2909–2934). 2023. doi: 10.1137/22M147579X.
Erik Nilsson, Julie Rowlett, Felix Rydell. The isospectral problem for flat tori from three perspectives. Bull. Am. Math. Soc., New Ser (39–83). 2023. doi: 10.1090/bull/1770.
Michael Joswig, Max Klimm, Sylvain Spitz. The polyhedral geometry of truthful auctions (231–245). Cham: Springer, 2023. doi: 10.1007/978-3-031-32726-1_17.
Svante Linusson, Petter Restadh, Liam Solus. Greedy causal discovery is geometric. SIAM J. Discrete Math (233–252). 2023. doi: 10.1137/21M1457205.
Hannah Markwig, Sam Payne, Kris Shaw. Bitangents to plane quartics via tropical geometry: rationality, ( mathbbA^1 )-enumeration, and real signed count. Res. Math. Sci (54). 2023. doi: 10.1007/s40687-023-00383-1.
Catherine Babecki, Rekha R Thomas. Graphical designs and gale duality. Math. Program (703–737). 2023. doi: 10.1007/s10107-022-01861-0.
Dominic Bunnett, Michael Joswig, Julian Pfeifle. Generalised cone complexes and tropical moduli in polymake (100–106). New York, NY: Association for Computing Machinery (ACM), 2023. doi: 10.1145/3597066.3597093.
Michael Borinsky, Anna-Laura Sattelberger, Bernd Sturmfels, Simon Telen. Bayesian integrals on toric varieties. SIAM J. Appl. Algebra Geom (77–103). 2023. doi: 10.1137/22M1490569.
Daniele Agostini, Claudia Fevola, Yelena Mandelshtam, Bernd Sturmfels. KP solitons from tropical limits. J. Symb. Comput (282–301). 2023. doi: 10.1016/j.jsc.2022.04.009.
Michael Joswig, Georg Loho, Dante Luber, Jorge Alberto Olarte. Generalized permutahedra and positive flag dressians. Int. Math. Res. Not. IMRN (16748–16777). 2023. doi: 10.1093/imrn/rnac349. https://doi.org/10.1093/imrn/rnac349
Daniel Corey, Dante Luber. Degenerations of the Grassmannian via matroidal subdivisions of the hypersimplex. Sém. Lothar. Combin (Art. 44, 12). 2023.
Cristina G. Fernandes, José C. De Pina, Jorge Luis Ramı́rez Alfonsı́n, Sinai Robins. Period collapse in Ehrhart quasi-polynomials of ({1,3} )-graphs. Comb. Theory (42). 2022. doi: 10.5070/C62359168.
Leon Eifler, Ambros Gleixner, Jonad Pulaj. A safe computational framework for integer programming applied to Chvátal's conjecture. ACM Trans. Math. Softw (12). 2022. doi: 10.1145/3485630.
Marc Moreno Maza, Linxiao Wang. Computing the integer hull of convex polyhedral sets (246–267). Cham: Springer, 2022. doi: 10.1007/978-3-031-14788-3_14.
Hiroshi Sato, Ryota Sumiyoshi. Terminal toric Fano (3 )-folds with numerical conditions. Kyoto J. Math (163–177). 2022. doi: 10.1215/21562261-2022-0003.
Amir Beck, Nadav Hallak. The regularized feasible directions method for nonconvex optimization. Oper. Res. Lett (517–523). 2022. doi: 10.1016/j.orl.2022.07.005.
Francisco Criado, Francisco Santos. Topological prismatoids and small simplicial spheres of large diameter. Exp. Math (461–473). 2022. doi: 10.1080/10586458.2019.1641766.
Georgios Papathanasiou. The SAGEX review on scattering amplitudes chapter 5: analytic bootstraps for scattering amplitudes and beyond. J. Phys. A, Math. Theor (49). 2022. doi: 10.1088/1751-8121/ac7e8e.
Paul Görlach, Yue Ren, Leon Zhang. Computing zero-dimensional tropical varieties via projections. Comput. Complexity (33). 2022. doi: 10.1007/s00037-022-00222-9.
Jacob Hartzer, Olivia Röhrig, Timo de Wolff, Oğuzhan Yürük. Initial steps in the classification of maximal mediated sets. J. Symb. Comput (404–425). 2022. doi: 10.1016/j.jsc.2020.07.013.
Maël Forcier, Vincent Leclère. Generalized adaptive partition-based method for two-stage stochastic linear programs: geometric oracle and analysis. Oper. Res. Lett (452–457). 2022. doi: 10.1016/j.orl.2022.06.004.
Sara Lamboglia. Tropical Fano schemes. Bull. Lond. Math. Soc (1249–1264). 2022. doi: 10.1112/blms.12626.
Lukas Kühne, Joshua Maglione. On the geometry of flag Hilbert-Poincaré series for matroids. Sémin. Lothar. Comb (11). 2022. https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2022//68.html
Yassine El Maazouz. The Gaussian entropy map in valued fields. Algebr. Stat (1–18). 2022. doi: 10.2140/astat.2022.13.1.
Yu-Ting Liu. Antipodal symmetry of two-loop MHV amplitudes. J. High Energy Phys (13). 2022. doi: 10.1007/JHEP09(2022)131.
Elisenda Feliu, Máté L Telek. On generalizing Descartes' rule of signs to hypersurfaces. Adv. Math (29). 2022. doi: 10.1016/j.aim.2022.108582.
Stefan Schupp, Erika Ábrahám, Tristan Ebert. Recent developments in theory and tool support for hybrid systems verification with textscHyPro. Inf. Comput (25). 2022. doi: 10.1016/j.ic.2022.104945.
Marta Panizzut, Magnus Dehli Vigeland. Tropical lines on cubic surfaces. SIAM J. Discrete Math (383–410). 2022. doi: 10.1137/20M136520X.
Philipp Jell, Hannah Markwig, Felipe Rincón, Benjamin Schröter. Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization. Electron. J. Comb (research paper p2.31, 33). 2022. doi: 10.37236/10674.
Vsevolod Chestnov, Federico Gasparotto, Manoj K. Mandal, Pierpaolo Mastrolia, Saiei J. Matsubara-Heo, Henrik J. Munch, Nobuki Takayama. Macaulay matrix for Feynman integrals: linear relations and intersection numbers. J. High Energy Phys (57). 2022. doi: 10.1007/JHEP09(2022)187.
Oliver Clarke, Akihiro Higashitani, Fatemeh Mohammadi. Combinatorial mutations and block diagonal polytopes. Collect. Math (305–335). 2022. doi: 10.1007/s13348-021-00321-w.
Daniele Catanzaro, Martin Frohn, Olivier Gascuel, Raffaele Pesenti. A tutorial on the balanced minimum evolution problem. Eur. J. Oper. Res (1–19). 2022. doi: 10.1016/j.ejor.2021.08.004.
Renzo Cavalieri, Andreas Gross, Hannah Markwig. Tropical ( psi ) classes. Geom. Topol (3421–3524). 2022. doi: 10.2140/gt.2022.26.3421.
Jonathan Kliem, Christian Stump. A new face iterator for polyhedra and for more general finite locally branched lattices. Discrete Comput. Geom (1147–1173). 2022. doi: 10.1007/s00454-021-00344-x.
Michał Adamaszek, Henry Adams. On Vietoris-Rips complexes of hypercube graphs. J. Appl. Comput. Topol (177–192). 2022. doi: 10.1007/s41468-021-00083-1.
Sebastian Mizera, Simon Telen. Landau discriminants. J. High Energy Phys (57). 2022. doi: 10.1007/JHEP08(2022)200.
Madeline Brandt, David E Speyer. Computation of Dressians by dimensional reduction. Adv. Geom (409–420). 2022. doi: 10.1515/advgeom-2022-0016.
Danny Nguyen, Igor Pak. Short Presburger arithmetic is hard. SIAM J. Comput (stoc17–1–stoc17–30). 2022. doi: 10.1137/17M1151146.
Michael Joswig, Max Klimm, Sylvain Spitz. Generalized permutahedra and optimal auctions. SIAM J. Appl. Algebra Geom (711–739). 2022. doi: 10.1137/21M1441286.
Oliver Habeck, Marc E Pfetsch. Combinatorial acyclicity models for potential-based flows. Networks (83–104). 2022. doi: 10.1002/net.22038.
Claus Fieker, Tommy Hofmann, Michael Joswig. Computing Galois groups of Ehrhart polynomials in OSCAR. Sémin. Lothar. Comb (9). 2022. https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2022//87.html
Tom Coates, Alessio Corti, Genival jun Da Silva. On the topology of Fano smoothings (135–156). Cham: Springer, 2022. doi: 10.1007/978-3-030-98327-7_6.
Michael Joswig, Benjamin Schröter. Parametric shortest-path algorithms via tropical geometry. Math. Oper. Res (2065–2081). 2022. doi: 10.1287/moor.2021.1199.
Michael Joswig, Davide Lofano, Frank H. Lutz, Mimi Tsuruga. Frontiers of sphere recognition in practice. J. Appl. Comput. Topol (503–527). 2022. doi: 10.1007/s41468-022-00092-8.
Marc E. Pfetsch, Giovanni Rinaldi, Paolo Ventura. Optimal patchings for consecutive ones matrices. Math. Program. Comput (43–84). 2022. doi: 10.1007/s12532-021-00203-z.
Andrew Newman. Doubly random polytopes. Random Struct. Algorithms (364–382). 2022. doi: 10.1002/rsa.21059.
Francisco Criado, Michael Joswig, Francisco Santos. Tropical bisectors and Voronoi diagrams. Found. Comput. Math (1923–1960). 2022. doi: 10.1007/s10208-021-09538-4.
Yassine El Maazouz, Marvin Anas Hahn, Gabriele Nebe, Mima Stanojkovski, Bernd Sturmfels. Orders and polytropes: matrix algebras from valuations. Beitr. Algebra Geom (515–531). 2022. doi: 10.1007/s13366-021-00600-4.
Georgios Papathanasiou. Chapter 5: Analytic bootstraps for scattering amplitudes and beyond. J. Phys. A (Paper No. 443006, 49). 2022.
Marcel Celaya, Georg Loho, Chi Ho Yuen. Patchworking oriented matroids. J. Lond. Math. Soc. (2) (3545–3576). 2022. doi: 10.1112/jlms.12667. https://doi.org/10.1112/jlms.12667
Yuji Sano, Hiroshi Sato, Yusuke Suyama. Toric Fano manifolds of dimension at most eight with positive second Chern characters. Kumamoto J. Math (1–13). 2021.
Michael Joswig. Essentials of tropical combinatorics. Providence, RI: American Mathematical Society (AMS), 2021. doi: 10.1090/gsm/219.
A. Al Ahmadieh, M. Kummer, M. Ş Sorea. A generalization of the space of complete quadrics. Matematiche (431–446). 2021. doi: 10.4418/2021.76.2.9.
Inbar Daum-Sadon, Gabriel Nivasch. Upper bounds for stabbing simplices by a line. Discrete Appl. Math (248–259). 2021. doi: 10.1016/j.dam.2021.07.038.
Leon Eifler, Ambros Gleixner. A computational status update for exact rational mixed integer programming (163–177). Cham: Springer, 2021. doi: 10.1007/978-3-030-73879-2_12.
Winfried Bruns, Bogdan Ichim. Polytope volume by descent in the face lattice and applications in social choice. Math. Program. Comput (415–442). 2021. doi: 10.1007/s12532-020-00198-z.
Yuji Sano. A polar dual to the momentum of toric Fano manifolds. Complex Manifolds (230–246). 2021. doi: 10.1515/coma-2020-0116.
Bernard Mourrain, Simon Telen, Marc Van Barel. Truncated normal forms for solving polynomial systems: generalized and efficient algorithms. J. Symb. Comput (63–85). 2021. doi: 10.1016/j.jsc.2019.10.009.
Maren H. Ring, Robert Schüler. (f )-vectors of 3-polytopes symmetric under rotations and rotary reflections. Discrete Math (24). 2021. doi: 10.1016/j.disc.2021.112315.
Rodica Dinu, Martin Vodička. Gorenstein property for phylogenetic trivalent trees. J. Algebra (233–255). 2021. doi: 10.1016/j.jalgebra.2021.02.012.
Niklas Henke, Georgios Papathanasiou. Singularities of eight- and nine-particle amplitudes from cluster algebras and tropical geometry. J. High Energy Phys (61). 2021. doi: 10.1007/JHEP10(2021)007.
Leon Zhang. Computing min-convex hulls in the affine building of ( mathrmSL_d ). Discrete Comput. Geom (1314–1336). 2021. doi: 10.1007/s00454-020-00223-x.
Muhammad Ardiyansyah, Dimitra Kosta, Kaie Kubjas. The model-specific Markov embedding problem for symmetric group-based models. J. Math. Biol (26). 2021. doi: 10.1007/s00285-021-01656-5.
Gleb Pogudin, Xingjian Zhang. Interpretable exact linear reductions via positivity (91–107). Cham: Springer, 2021. doi: 10.1007/978-3-030-85633-5_6.
Daniel Corey. Initial degenerations of Grassmannians. Sel. Math., New Ser (40). 2021. doi: 10.1007/s00029-021-00679-6.
Irem Portakal. On rigidity of toric varieties arising from bipartite graphs. J. Algebra (784–822). 2021. doi: 10.1016/j.jalgebra.2020.09.032.
Alexander Müller-Hermes. Decomposable Pauli diagonal maps and tensor squares of qubit maps. J. Math. Phys (44). 2021. doi: 10.1063/5.0049533.
James Drummond, Jack Foster, Ömer Gürdoğan, Chrysostomos Kalousios. Tropical fans, scattering equations and amplitudes. J. High Energy Phys (27). 2021. doi: 10.1007/JHEP11(2021)071.
Robert Krone, Kaie Kubjas. Uniqueness of nonnegative matrix factorizations by rigidity theory. SIAM J. Matrix Anal. Appl (134–164). 2021. doi: 10.1137/19M1279472.
Ralph Morrison, Ayush Kumar Tewari. Convex lattice polygons with all lattice points visible. Discrete Math (19). 2021. doi: 10.1016/j.disc.2020.112161.
Davide Lofano, Andrew Newman. The worst way to collapse a simplex. Isr. J. Math (625–647). 2021. doi: 10.1007/s11856-021-2184-3.
Marvin Anas Hahn, Hannah Markwig, Yue Ren, Ilya Tyomkin. Tropicalized quartics and canonical embeddings for tropical curves of genus 3. Int. Math. Res. Not (8946–8976). 2021. doi: 10.1093/imrn/rnz084.
Eric Goubault, Sébastien Palumby, Sylvie Putot, Louis Rustenholz, Sriram Sankaranarayanan. Static analysis of ReLU neural networks with tropical polyhedra (166–190). Cham: Springer, 2021. doi: 10.1007/978-3-030-88806-0_8.
Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert, Michael Joswig. What tropical geometry tells us about the complexity of linear programming. SIAM Rev (123–164). 2021. doi: 10.1137/20M1380211.
M. Blanco, C. Haase, J. Hofmann, F Santos. The finiteness threshold width of lattice polytopes. Trans. Am. Math. Soc., Ser. B (399–419). 2021. doi: 10.1090/btran/62.
Michael Joswig, Ayush Kumar Tewari. Forbidden patterns in tropical plane curves. Beitr. Algebra Geom (65–81). 2021. doi: 10.1007/s13366-020-00523-6.
Christian Haase, Andreas Paffenholz, Lindsey C. Piechnik, Francisco Santos. Existence of unimodular triangulations – positive results. Providence, RI: American Mathematical Society (AMS), 2021. doi: 10.1090/memo/1321.
Türkü Özlüm Çelik, Asgar Jamneshan, Guido Montúfar, Bernd Sturmfels, Lorenzo Venturello. Wasserstein distance to independence models. J. Symb. Comput (855–873). 2021. doi: 10.1016/j.jsc.2020.10.005.
Gabriele Balletti, Marta Panizzut, Bernd Sturmfels. (K3 ) polytopes and their quartic surfaces. Adv. Geom (85–98). 2021. doi: 10.1515/advgeom-2020-0016.
David Avis, Charles Jordan. bf mts: a light framework for parallelizing tree search codes. Optim. Methods Softw (279–300). 2021. doi: 10.1080/10556788.2019.1692344. https://doi.org/10.1080/10556788.2019.1692344
L. Solus, Y. Wang, C Uhler. Consistency guarantees for greedy permutation-based causal inference algorithms. Biometrika (795–814). 2021. doi: 10.1093/biomet/asaa104. https://doi.org/10.1093/biomet/asaa104
Michael Joswig, Robert Löwe, Boris Springborn. Secondary fans and secondary polyhedra of punctured Riemann surfaces. Exp. Math (426–442). 2020. doi: 10.1080/10586458.2018.1477078.
Christopher Hojny. Packing, partitioning, and covering symresacks. Discrete Appl. Math (689–717). 2020. doi: 10.1016/j.dam.2020.03.002.
Laura Colmenarejo, Francesco Galuppi, Mateusz Michałek. Toric geometry of path signature varieties. Adv. Appl. Math (35). 2020. doi: 10.1016/j.aam.2020.102102.
Akshay Gupte, Thomas Kalinowski, Fabian Rigterink, Hamish Waterer. Extended formulations for convex hulls of some bilinear functions. Discrete Optim (33). 2020. doi: 10.1016/j.disopt.2020.100569.
Saiei-Jaeyeong Matsubara-Heo, Nobuki Takayama. Algorithms for Pfaffian systems and cohomology intersection numbers of hypergeometric integrals (73–84). Cham: Springer, 2020. doi: 10.1007/978-3-030-52200-1_7.
Anna Becchi, Enea Zaffanella. PPLite: zero-overhead encoding of NNC polyhedra. Inf. Comput (37). 2020. doi: 10.1016/j.ic.2020.104620.
Michael Joswig, Paul Vater. Real tropical hyperfaces by patchworking in polymake (202–211). Cham: Springer, 2020. doi: 10.1007/978-3-030-52200-1_20.
Amir Beck, Nadav Hallak. On the convergence to stationary points of deterministic and randomized feasible descent directions methods. SIAM J. Optim (56–79). 2020. doi: 10.1137/18M1217760.
Jelena Ivanović. Geometrical realisations of the simple permutoassociahedron by Minkowski sums. Appl. Anal. Discrete Math (055–093). 2020. doi: 10.2298/AADM190414011I.
Simon Telen. Numerical root finding via Cox rings. J. Pure Appl. Algebra (26). 2020. doi: 10.1016/j.jpaa.2020.106367.
Nariankadu D. Shyamalkumar, Siyang Tao. On tail dependence matrices. The realization problem for parametric families. Extremes (245–285). 2020. doi: 10.1007/s10687-019-00366-y.
Alheydis Geiger. On realizability of lines on tropical cubic surfaces and the Brundu-Logar normal form. Matematiche (651–671). 2020. doi: 10.4418/2020.75.2.15.
Lars Kastner, Robert Löwe. The Newton polytope of the discriminant of a quaternary cubic form. Matematiche (471–487). 2020. doi: 10.4418/2020.75.2.5.
Georg Loho, Matthias Schymura. Tropical Ehrhart theory and tropical volume. Res. Math. Sci (33). 2020. doi: 10.1007/s40687-020-00228-1.
Cassandra Durell, Stefan Forcey. Level-1 phylogenetic networks and their balanced minimum evolution polytopes. J. Math. Biol (1235–1263). 2020. doi: 10.1007/s00285-019-01458-w.
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Raymond Hemmecke, Jason Morton, Anne Shiu, Bernd Sturmfels, Oliver Wienand. Three counter-examples on semi-graphoids. Comb. Probab. Comput (239–257). 2008. doi: 10.1017/S0963548307008838.
Frederick A. Matsen, Elchanan Mossel, Mike Steel. Mixed-up trees: the structure of phylogenetic mixtures. Bull. Math. Biol (1115–1139). 2008. doi: 10.1007/s11538-007-9293-y.
Bernd Sturmfels, Josephine Yu. Tropical implicitization and mixed fiber polytopes (111–131). New York, NY: Springer, 2008.
Komei Fukuda. Exact algorithms and software in optimization and polyhedral computation (333–334). New York, NY: Association for Computing Machinery (ACM), 2008. doi: 10.1145/1390768.1390814.
Kord Eickmeyer, Ruriko Yoshida. The geometry of the neighbor-joining algorithm for small trees (81–95). Berlin: Springer, 2008. doi: 10.1007/978-3-540-85101-1_7.
J Rusinko. Equivalence of mirror families constructed from toric degenerations of flag varieties. Transform. Groups (173–194). 2008. doi: 10.1007/s00031-008-9008-y.
Fumei Lam, Alantha Newman. Traveling salesman path problems. Math. Program (39–59). 2008. doi: 10.1007/s10107-006-0046-8.
Hadrien Mélot. Facet defining inequalities among graph invariants: The system graphedron. Discrete Appl. Math (1875–1891). 2008. doi: 10.1016/j.dam.2007.09.005.
Satyan Devadoss, Stefan Forcey. Marked tubes and the graph multiplihedron. Algebr. Geom. Topol (2081–2108). 2008. doi: 10.2140/agt.2008.8.2081.
Stefan Forcey. Convex hull realizations of the multiplihedra. Topology Appl (326–347). 2008. doi: 10.1016/j.topol.2008.07.010.
Peter Huggins, Bernd Sturmfels, Josephine Yu, Debbie S Yuster. The hyperdeterminant and triangulations of the 4-cube. Math. Comput (1653–1679). 2008. doi: 10.1090/S0025-5718-08-02073-5.
Michael Armbruster, Christoph Helmberg, Marzena Fügenschuh, Alexander Martin. On the graph bisection cut polytope. SIAM J. Discrete Math (1073–1098). 2008. doi: 10.1137/060675253. https://doi.org/10.1137/060675253
Sven Herrmann, Michael Joswig. Splitting polytopes. Münster J. Math (109–141). 2008.
Anders Björner, Gil Kalai, Günter M Ziegler. Geometric and topological combinatorics. Abstracts from the workshop held January 28 – February 3, 2007. 2007. doi: 10.4171/OWR/2007/04. https://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=4&iss=1&rank=4
J. Àlvarez Montaner, F. J. Castro-Jiménez, J. M Ucha. Localization at hyperplane arrangements: combinatorics and ( mathcal D )-modules. J. Algebra (662–679). 2007. doi: 10.1016/j.jalgebra.2006.12.006.
Peter Huggins, Lior Pachter, Bernd Sturmfels. Toward the human genotope. Bull. Math. Biol (2723–2735). 2007. doi: 10.1007/s11538-007-9244-7. https://authors.library.caltech.edu/74837/
Weronika Buczyńska, Jarosław A Wiśniewski. On geometry of binary symmetric models of phylogenetic trees. J. Eur. Math. Soc. (JEMS) (609–635). 2007. doi: 10.4171/JEMS/90.
Bernd Sturmfels, Jenia Tevelev, Josephine Yu. The Newton polytope of the implicit equation. Mosc. Math. J (327–346). 2007.
Michael Joswig, Bernd Sturmfels, Josephine Yu. Affine buildings and tropical convexity. Albanian J. Math (187–211). 2007. https://x.kerkoje.com/index.php/ajm/article/view/15/15
David Cox, Jessica Sidman. Secant varieties of toric varieties. J. Pure Appl. Algebra (651–669). 2007. doi: 10.1016/j.jpaa.2006.07.008.
Günter M Ziegler. Convex polytopes: extremal constructions and (f )-vector shapes (617–691). Providence, RI: American Mathematical Society (AMS); Princeton, NJ: Institute for Advanced Studies, 2007.
Julie Christophe, Jean-Paul Doignon. The polytope of (m )-subspaces of a finite affine space. RAIRO, Oper. Res (317–344). 2007. doi: 10.1051/ro:2007026.
Michael Joswig, Nikolaus Witte. Products of foldable triangulations. Adv. Math (769–796). 2007. doi: 10.1016/j.aim.2006.07.016.
Michael Joswig, Thilo Rörig. Neighborly cubical polytopes and spheres. Isr. J. Math (221–242). 2007. doi: 10.1007/s11856-007-0044-4.
Stephen E. Fienberg, Alessandro Rinaldo. Three centuries of categorical data analysis: Log-linear models and maximum likelihood estima -tion. J. Stat. Plann. Inference (3430–3445). 2007. doi: 10.1016/j.jspi.2007.03.022.
Ulrich Derenthal. On a constant arising in Manin's conjecture for del Pezzo surfaces. Math. Res. Lett (481–489). 2007. doi: 10.4310/MRL.2007.v14.n3.a12. https://doi.org/10.4310/MRL.2007.v14.n3.a12
Sven Herrmann, Michael Joswig. Bounds on the $f$-vectors of tight spans. Contrib. Discrete Math (161–184). 2007.
Niko Beerenwinkel, Lior Pachter, Bernd Sturmfels. Epistasis and shapes of fitness landscapes. Statist. Sinica (1317–1342). 2007.
Stephen Fienberg. Expanding the statistical toolkit with algebraic statistics. Statist. Sinica (1261–1272). 2007.
Peter Huggins. iB4e: a software framework for parametrizing specialized LP problems (245–247). Berlin: Springer, 2006. doi: 10.1007/11832225_24.
Lars Schewe. Generation of oriented matroids using satisfiability solvers (216–218). Berlin: Springer, 2006. doi: 10.1007/11832225_19.
Andreas Paffenholz, Axel Werner. Constructions for 4-polytopes and the cone of flag vectors (283–303). Providence, RI: American Mathematical Society (AMS), 2006.
Iglesias, Andrés and Takayama, Nobuki (Eds.). Mathematical software – ICMS 2006. Second international congress on mathematical software, Castro Urdiales, Spain, September 1–3, 2006. Proceedings. Berlin: Springer, 2006. doi: 10.1007/11832225.
Ewgenij Gawrilow, Michael Joswig. Flexible object hierarchies in polymake. (Extended abstract) (219–221). Berlin: Springer, 2006. doi: 10.1007/11832225_20.
Sonoko Moriyama, Masahiro Hachimori. (h )-assignments of simplicial complexes and reverse search. Discrete Appl. Math (594–597). 2006. doi: 10.1016/j.dam.2005.09.006.
Eric H Kuo. Viterbi sequences and polytopes. J. Symb. Comput (151–163). 2006. doi: 10.1016/j.jsc.2005.04.007.
Andreas Paffenholz. New polytopes from products. J. Comb. Theory, Ser. A (1396–1418). 2006. doi: 10.1016/j.jcta.2005.12.008.
Robert M. Guralnick, David Perkinson. Permutation polytopes and indecomposable elements in permutation groups. J. Comb. Theory, Ser. A (1243–1256). 2006. doi: 10.1016/j.jcta.2005.11.004.
Seth Sullivant. Compressed polytopes and statistical disclosure limitation. Tôhoku Math. J. (2) (433–445). 2006. doi: 10.2748/tmj/1163775139.
Nicholas Eriksson, Stephen E. Fienberg, Alessandro Rinaldo, Seth Sullivant. Polyhedral conditions for the nonexistence of the MLE for hierarchical log-linear models. J. Symb. Comput (222–233). 2006. doi: 10.1016/j.jsc.2005.04.003.
James Cruickshank, Séamus Kelly. Rearrangement inequalities and the alternahedron. Discrete Comput. Geom (241–254). 2006. doi: 10.1007/s00454-005-1199-6. https://doi.org/10.1007/s00454-005-1199-6
Matthias Beck, Serkan Hoşten. Cyclotomic polytopes and growth series of cyclotomic lattices. Math. Res. Lett (607–622). 2006. doi: 10.4310/MRL.2006.v13.n4.a10. https://doi.org/10.4310/MRL.2006.v13.n4.a10
Michael Joswig, Marc E Pfetsch. Computing optimal Morse matchings. SIAM J. Discrete Math (11–25). 2006. doi: 10.1137/S0895480104445885. https://doi.org/10.1137/S0895480104445885
Manoj K. Chari, Michael Joswig. Complexes of discrete Morse functions. Discrete Math (39–51). 2005. doi: 10.1016/j.disc.2004.07.027.
Karin Gatermann, Markus Eiswirth, Anke Sensse. Toric ideals and graph theory to analyze Hopf bifurcations in mass action systems. J. Symb. Comput (1361–1382). 2005. doi: 10.1016/j.jsc.2005.07.002.
David Speyer, Lauren Williams. The tropical totally positive Grassmannians. J. Algebr. Comb (189–210). 2005. doi: 10.1007/s10801-005-2513-3.
M. Beck, Jesús A. De Loera, M. Develin, J. Pfeifle, R. P Stanley. Coefficients and roots of Ehrhart polynomials (15–36). Providence, RI: American Mathematical Society (AMS), 2005.
Steffen Schön, Hansjörg Kutterer. Using zonotopes for overestimation-free interval least-squares – some geodetic applications. Reliab. Comput (137–155). 2005. doi: 10.1007/s11155-005-3034-4.
Bernd Sturmfels, Josephine Yu. Classification of six-point metrics. Electron. J. Comb (research paper r44, 16). 2004.
Lior Pachter, Bernd Sturmfels. Parametric inference for biological sequence analysis. Proc. Natl. Acad. Sci. USA (16138–16143). 2004. doi: 10.1073/pnas.0406011101.
Florian Pfender, Günter M Ziegler. Kissing numbers, sphere packings, and some unexpected proofs. Notices Am. Math. Soc (873–883). 2004. https://www.ams.org/notices/200408/200408-toc.html
Michael Joswig, Günter M Ziegler. Convex hulls, oracles, and homology. J. Symb. Comput (1247–1259). 2004. doi: 10.1016/j.jsc.2003.08.006.
Julian Pfeifle, Günter M Ziegler. On the monotone upper bound problem. Exp. Math (1–11). 2004. doi: 10.1080/10586458.2004.10504519. https://hdl.handle.net/2117/7737
Alexander Schwartz, Günter M Ziegler. Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds. Exp. Math (385–413). 2004. doi: 10.1080/10586458.2004.10504548.
Julian Pfeifle, Jörg Rambau. Computing triangulations using oriented matroids (49–75). Berlin: Springer, 2003.
Volker Kaibel, Alexander Schwartz. On the complexity of polytope isomorphism problems. Graphs Comb (215–230). 2003.
Michael Joswig. Beneath-and-beyond revisited (1–21). Berlin: Springer, 2003.
Volker Kaibel, Marc E Pfetsch. Some algorithmic problems in polytope theory (23–48). Berlin: Springer, 2003.
Martin Grötschel, Martin Henk. The representation of polyhedra by polynomial inequalities. Discrete Comput. Geom (485–504). 2003. doi: 10.1007/s00454-003-0782-y. https://doi.org/10.1007/s00454-003-0782-y
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.
Michael Joswig. Software integration and computer proofs (15–28). Singapore: World Scientific, 2002.
Joachim Hornegger, Volkmar Welker, Heinrich Niemann. Localization and classification based on projections. Pattern Recognition (1225–1235). 2002. doi: 10.1016/S0031-3203(01)00122-4.
Christian Haase, Günter M Ziegler. Examples and counterexamples for the Perles conjecture. Discrete Comput. Geom (29–44). 2002.
Günter M Ziegler. Face numbers of 4-polytopes and 3-spheres (625–634). Beijing: Higher Education Press; Singapore: World Scientific/distributor, 2002.
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
Michael Joswig, Volker Kaibel, Marc E. Pfetsch, Günter M Ziegler. Vertex-facet incidences of unbounded polyhedra. Adv. Geom (23–36). 2001. doi: 10.1515/advg.2001.002. https://depositonce.tu-berlin.de//handle/11303/8281
Kalai, Gil and Ziegler, Günter M (Eds.). Polytopes - combinatorics and computation. DMV-seminar Oberwolfach, Germany, November 1997. Basel: Birkhäuser, 2000.
Ulrich Reitebuch. Icosidodecahedron. Electronic Geometry Model. 2000. https://www.eg-models.de/2000.09.012
Ulrich Reitebuch. Rhombicosidodecahedron. Electronic Geometry Model. 2000. https://www.eg-models.de/2000.09.013
Ulrich Reitebuch. Rhombitruncated icosahedron. Electronic Geometry Model. 2000. https://www.eg-models.de/2000.09.016
Ulrich Reitebuch. Soccer ball. Electronic Geometry Model. 2000. https://www.eg-models.de/2000.09.019
Ulrich Reitebuch. Truncated dodecahedron. Electronic Geometry Model. 2000. https://www.eg-models.de/2000.09.021
Oswin Aichholzer. Extremal properties of 0/1-polytopes of dimension 5 (111–130). Basel: Birkhäuser, 2000.
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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