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Publications
Papers about polymake
- . Computing convex hulls and counting integer points with polymake. Math. Program. Comput (1–38). Springer, Berlin/Heidelberg, 2017.
- . Computing the bounded subcomplex of an unbounded polyhedron. Comput. Geom (541–551). Elsevier (North-Holland), Amsterdam, 2013.
- . Defect polytopes and counter-examples with polymake. ACM Commun. Comput. Algebra (177–179). Association for Computing Machinery (ACM), New York, NY, 2011.
- . Drawing polytopal graphs with polymake. Comput. Vis. Sci (99–110). Springer, Berlin/Heidelberg, 2010.
- . polymake and lattice polytopes (491–502). Nancy: The Association. Discrete Mathematics & Theoretical Computer Science (DMTCS), 2009.
- . polymake: an approach to modular software design in computational geometry (222–231). New York, NY: Association for Computing Machinery (ACM), 2001.
- . polymake: a framework for analyzing convex polytopes (43–73). Basel: Birkhäuser, 2000.
- . Geometric reasoning with polymake (37-52). Gesellschaft für wissenschaftliche Datenverarbeitung mbh Göttingen, 2005.
Publications with references to polymake
- . Cluster partitions and fitness landscapes of the Drosophila fly microbiome. J. Math. Biol (861–899). Springer, Berlin/Heidelberg, 2019.
- . 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.
- . Tropical geometry of genus two curves. J. Algebra (457–512). Elsevier (Academic Press), San Diego, CA, 2019.
- . Algorithms for tight spans and tropical linear spaces. J. Symb. Comput (116–128). Elsevier (Academic Press), London, 2019.
- . Red-green refinement of simplicial meshes in (d ) dimensions. Math. Comput (751–782). American Mathematical Society (AMS), Providence, RI, 2019.
- . Geometry of ( nu )-Tamari lattices in types (A ) and (B ). Trans. Am. Math. Soc (2575–2622). American Mathematical Society (AMS), Providence, RI, 2019.
- . On the reconstruction of polytopes. Discrete Comput. Geom (285–302). Springer US, New York, NY, 2019.
- . Multi-splits and tropical linear spaces from nested matroids. Discrete Comput. Geom (661–685). Springer US, New York, NY, 2019.
- . Smooth polytopes with negative Ehrhart coefficients. J. Comb. Theory, Ser. A (316–331). Elsevier (Academic Press), San Diego, CA, 2018.
- . mplrs: a scalable parallel vertex/facet enumeration code. Math. Program. Comput (267–302). Springer, Berlin/Heidelberg, 2018.
- . Solving polynomial systems via truncated normal forms. SIAM J. Matrix Anal. Appl (1421–1447). Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2018.
- . Ehrhart tensor polynomials. Linear Algebra Appl (72–93). Elsevier (North-Holland), New York, NY, 2018.
- . The degree of a tropical basis. Proc. Am. Math. Soc (961–970). American Mathematical Society (AMS), Providence, RI, 2018.
- . A computational approach to the ample cone of moduli spaces of curves. Int. J. Algebra Comput (37–51). World Scientific, Singapore, 2018.
- . Extension complexity and realization spaces of hypersimplices. Discrete Comput. Geom (621–642). Springer US, New York, NY, 2018.
- . Tropical Fermat-Weber points. SIAM J. Discrete Math (1229–1245). Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2018.
- . 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.
- . 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.
- . Generalized multiplicities of edge ideals. J. Algebr. Comb (441–472). Springer US, New York, NY, 2018.
- . 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.
- . 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}
- . 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}
- . 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}
- . New counts for the number of triangulations of cyclic polytopes (264–271). Springer, Cham, 2018.
- . 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.
- . polyDB: a database for polytopes and related objects (533–547). Cham: Springer, 2017.
- . Normaliz 2013–2016 (123–146). Cham: Springer, 2017.
- . The intersection ring of matroids. J. Comb. Theory, Ser. B (578–614). Elsevier (Academic Press), San Diego, CA, 2017.
- . Estimation des dimensions de certaines variétés de Kisin. J. Reine Angew. Math (1–77). De Gruyter, Berlin, 2017.
- . A test for monomial containment. J. Symb. Comput (74–90). Elsevier (Academic Press), London, 2017.
- . Cluster algebras of type (D_4 ), tropical planes, and the positive tropical Grassmannian. Beitr. Algebra Geom (25–46). Springer, Berlin/Heidelberg, 2017.
- . Extremal examples of collapsible complexes and random discrete Morse theory. Discrete Comput. Geom (824–853). Springer US, New York, NY, 2017.
- . On lower bounds for the matching number of subcubic graphs. J. Graph Theory (336–348). Wiley, Hoboken, NJ, 2017.
- . Matroids from hypersimplex splits. J. Comb. Theory, Ser. A (254–284). Elsevier (Academic Press), San Diego, CA, 2017.
- . The realization problem for tail correlation functions. Extremes (121–168). Springer US, New York, NY, 2017.
- . Rainbow triangles in three-colored graphs. J. Comb. Theory, Ser. B (83–113). Elsevier (Academic Press), San Diego, CA, 2017.
- . 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.
- . Convexity in tree spaces. SIAM J. Discrete Math (2015–2038). Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2017.
- . Degree cones and monomial bases of Lie algebras and quantum groups. Glasg. Math. J (595–621). Cambridge University Press, Cambridge, 2017.
- . Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations. Transform. Groups (321–352). Springer (Birkhäuser), Boston, MA, 2017.
- . A tropical isoperimetric inequality. Sémin. Lothar. Comb (78b.27, 12). Universität Wien, Fakultät für Mathematik, Wien, 2017.
- . Identification of unidentified equality constraints for integer programming problems. Eur. J. Oper. Res (460–467). Elsevier (North-Holland), Amsterdam, 2017.
- . Moduli spaces of curves in tropical varieties (253–286). Cham: Springer, 2017.
- . Tropical moduli spaces of stable maps to a curve (287–309). Cham: Springer, 2017.
- . Toric Ext and Tor in polymake and Singular: the two-dimensional case and beyond (423–441). Cham: Springer, 2017.
- . Some recent developments in spectrahedral computation (717–739). Cham: Springer, 2017.
- . The polytope of $k$-star densities. Electron. J. Combin (Paper 1.4, 21). 2017.
- . 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}
- . A general method to determine limiting optimal shapes for edge-isoperimetric inequalities. Electron. J. Combin (Paper 1.26, 22). 2017.
- . On a vertex-minimal triangulation of $ mathbb R rm P^4$. Electron. J. Combin (Paper 1.52, 23). 2017.
- . The polymake interface in singular and its applications (109–117). Springer, Cham, 2017.
- . 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.
- . Pruning algorithms for pretropisms of Newton polytopes (489–503). Cham: Springer, 2016.
- . Two-level polytopes with a prescribed facet (285–296). Cham: Springer, 2016.
- . The power of pyramid decomposition in Normaliz. J. Symb. Comput (513–536). Elsevier (Academic Press), London, 2016.
- . Homometry and direct-sum decompositions of lattice-convex sets. Discrete Comput. Geom (216–249). Springer US, New York, NY, 2016.
- . Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence. J. Pure Appl. Algebra (606–620). Elsevier (North-Holland), Amsterdam, 2016.
- . Affine symmetries of orbit polytopes. Adv. Math (386–425). Elsevier (Academic Press), San Diego, CA, 2016.
- . PBW-degenerated Demazure modules and Schubert varieties for triangular elements. J. Comb. Theory, Ser. A (132–152). Elsevier (Academic Press), San Diego, CA, 2016.
- . A bound for the splitting of smooth Fano polytopes with many vertices. J. Algebr. Comb (153–172). Springer US, New York, NY, 2016.
- . 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.
- . Faster geometric algorithms via dynamic determinant computation. Comput. Geom (1–16). Elsevier (North-Holland), Amsterdam, 2016.
- . A polyhedral investigation of star colorings. Discrete Appl. Math (59–78). Elsevier (North-Holland), Amsterdam, 2016.
- . Multigraded Hilbert functions and toric complete intersection codes. J. Algebra (446–467). Elsevier (Academic Press), San Diego, CA, 2016.
- . Smooth monomial Togliatti systems of cubics. J. Comb. Theory, Ser. A (66–87). Elsevier (Academic Press), San Diego, CA, 2016.
- . Marked chain-order polytopes. Eur. J. Comb (267–282). Elsevier (Academic Press), London, 2016.
- . Facets of the balanced minimal evolution polytope. J. Math. Biol (447–468). Springer, Berlin/Heidelberg, 2016.
- . 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.
- . Extending singular with new types and algorithms (110–113). Cham: Springer, 2016.
- . The polymake XML file format (403–410). Cham: Springer, 2016.
- . Semantic-aware fingerprints of symbolic research data (411–418). Cham: Springer, 2016.
- . Book review of: D. Maclagan and B. Sturmfels, Introduction to tropical geometry. Jahresber. Dtsch. Math.-Ver (233–237). Springer, Berlin/Heidelberg, 2016.
- . The linear extension polytope of a poset (81–84). Amsterdam: Elsevier, 2016.
- . 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}
- . 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}
- . Affine hom-complexes. Port. Math (183–205). 2016. doi: 10.4171/PM/1984. {https://doi.org/10.4171/PM/1984}
- . Enumeration of 2-level polytopes (191–202). Berlin: Springer, 2015.
- . Tight complexes in 3-space admit perfect discrete Morse functions. Eur. J. Comb (71–84). Elsevier (Academic Press), London, 2015.
- . Permutonestohedra. J. Algebr. Comb (125–155). Springer US, New York, NY, 2015.
- . Computing in arithmetic groups with Voronoı̈'s algorithm. J. Algebra (263–285). Elsevier (Academic Press), San Diego, CA, 2015.
- . 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.
- . Vertex maps between ( triangle ), ( square ), and ( diamond ). Geom. Dedicata (375–399). Springer Netherlands, Dordrecht, 2015.
- . Determinantal schemes and pure O-sequences. J. Pure Appl. Algebra (3873–3888). Elsevier (North-Holland), Amsterdam, 2015.
- . Lossy gossip and composition of metrics. Discrete Comput. Geom (890–913). Springer US, New York, NY, 2015.
- . Finitely many smooth (d )-polytopes with (n ) lattice points. Isr. J. Math (301–329). Springer, Berlin/Heidelberg; Hebrew University Magnes Press, Jerusalem, 2015.
- . On the number of numerical semigroups containing two coprime integers (p ) and (q ). Semigroup Forum (833–842). Springer US, New York, NY, 2015.
- . Combinatorics of tropical Hurwitz cycles. J. Algebr. Comb (1027–1058). Springer US, New York, NY, 2015.
- . PANDA: a software for polyhedral transformations. EURO J. Comput. Optim (297–308). Springer, Berlin/Heidelberg; EURO - Association of European Operational Research Societies, 2015.
- . A geometric method for model reduction of biochemical networks with polynomial rate functions. Bull. Math. Biol (2180–2211). Springer US, New York, NY, 2015.
- . On smooth Gorenstein polytopes. Tohoku Math. J. (2) (513–530). Tohoku University, Mathematical Institute, Sendai, 2015.
- . Moduli of tropical plane curves. Res. Math. Sci (31). Springer International Publishing (SpringerOpen), Cham, 2015.
- . Detection of Hopf bifurcations in chemical reaction networks using convex coordinates. J. Comput. Phys (279–302). Elsevier (Academic Press), Amsterdam, 2015.
- . Faces of Birkhoff polytopes. Electron. J. Combin (Paper 1.67, 36). 2015.
- . Estimating the discrete geometric Lusternik-Schnirelmann category. Topol. Methods Nonlinear Anal (103–116). 2015. doi: 10.12775/TMNA.2015.006. {https://doi.org/10.12775/TMNA.2015.006}
- . Cayley-Bacharach 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}
- . Toric varieties in phylogenetics. Dissertationes Math (86). 2015.
- . On the factor alpha in Peyre's constant. Math. Comput (965–977). American Mathematical Society (AMS), Providence, RI, 2014.
- . On stretching the interval simplex-permutohedron. J. Algebr. Comb (99–125). Springer US, New York, NY, 2014.
- . a-tint: a polymake extension for algorithmic tropical intersection theory. Eur. J. Comb (579–607). Elsevier (Academic Press), London, 2014.
- . New compact forms of the trigonometric Ruijsenaars-Schneider system. Nucl. Phys., B (97–127). Elsevier (North-Holland), Amsterdam, 2014.
- . Markov degree of the three-state toric homogeneous Markov chain model. Beitr. Algebra Geom (161–188). Springer, Berlin/Heidelberg, 2014.
- . Computing all maps into a sphere. J. ACM (44). Association for Computing Machinery (ACM), New York, NY, 2014.
- . Smooth Fano polytopes with many vertices. Discrete Comput. Geom (153–194). Springer US, New York, NY, 2014.
- . Tropicalization of classical moduli spaces. Math. Comput. Sci (119–145). Springer (Birkhäuser), Basel, 2014.
- . On lattice-free orbit polytopes. Discrete Comput. Geom (144–172). Springer US, New York, NY, 2014.
- . 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.
- . 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}
- . Higher-level $ mathfraksl_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}
- . On counterexamples to a conjecture of Wills and Ehrhart polynomials whose roots have equal real parts. Electron. J. Combin (Paper 1.28, 12). 2014.
- . 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}
- . Prequantization of the moduli space of flat $ mathrmPU(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}
- . 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}
- . 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.
- . Algorithms for highly symmetric linear and integer programs. Math. Program (65–90). Springer, Berlin/Heidelberg, 2013.
- . Computing the vertices of tropical polyhedra using directed hypergraphs. Discrete Comput. Geom (247–279). Springer US, New York, NY, 2013.
- . Hom-polytopes. Math. Z (1267–1296). Springer, Berlin/Heidelberg, 2013.
- . 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.
- . Ideals of graph homomorphisms. Ann. Comb (71–103). Springer (Birkhäuser), Basel, 2013.
- . The flag polynomial of the Minkowski sum of simplices. Ann. Comb (401–426). Springer (Birkhäuser), Basel, 2013.
- . Maximum lilkelihood estimation in the ( beta )-model. Ann. Stat (1085–1110). Institute of Mathematical Statistics (IMS), Beachwood, OH/Bethesda, MD, 2013.
- . Special cycles in independence complexes and superfrustration in some lattices. Topology Appl (943–950). Elsevier (North-Holland), Amsterdam, 2013.
- . Minkowski decomposition of associahedra and related combinatorics. Discrete Comput. Geom (903–939). Springer US, New York, NY, 2013.
- . Triangulations of Cayley and Tutte polytopes. Adv. Math (1–33). Elsevier (Academic Press), San Diego, CA, 2013.
- . Exploiting polyhedral symmetries in social choice. Soc. Choice Welfare (1097–1110). Springer, Berlin/Heidelberg, 2013.
- . Searching for realizations of finite metric spaces in tight spans. Discrete Optim (310–319). Elsevier, Amsterdam, 2013.
- . 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}
- . 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}
- . 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}
- . 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}
- . 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}
- . Face numbers of centrally symmetric polytopes produced from split graphs. Electron. J. Combin (Paper 32, 15). 2013.
- . 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}
- . 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}
- . The combinatorics of interval-vector polytopes. Electron. J. Combin (Paper 22, 12). 2013.
- . Maximum likelihood estimation in the $ beta$-model. Ann. Statist (1085–1110). 2013. doi: 10.1214/12-AOS1078. {https://doi.org/10.1214/12-AOS1078}
- . 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}
- . Isotropical linear spaces and valuated Delta-matroids. J. Comb. Theory, Ser. A (14–32). Elsevier (Academic Press), San Diego, CA, 2012.
- . Alternatives for testing total dual integrality. Math. Program (57–78). Springer, Berlin/Heidelberg, 2012.
- . Splittings of independence complexes and the powers of cycles. J. Comb. Theory, Ser. A (1031–1047). Elsevier (Academic Press), San Diego, CA, 2012.
- . Maximum likelihood estimation in log-linear models. Ann. Stat (996–1023). Institute of Mathematical Statistics (IMS), Beachwood, OH/Bethesda, MD, 2012.
- . A counterexample to the Hirsch conjecture. Ann. Math. (2) (383–412). Princeton University, Mathematics Department, Princeton, NJ, 2012.
- . Polytope mit vielen Splits und ihre Sekundärfächer. Math. Semesterber (145–152). Springer, Berlin/Heidelberg, 2012.
- . Minkowski length of 3D lattice polytopes. Discrete Comput. Geom (1137–1158). Springer US, New York, NY, 2012.
- . Hilbert polynomial of the Kimura 3-parameter model. J. Algebr. Stat (64–69). 2012. doi: 10.18409/jas.v3i1.16. {https://doi.org/10.18409/jas.v3i1.16}
- . Causal bounds and observable constraints for non-deterministic models. J. Mach. Learn. Res (829–848). 2012.
- . Examples of Kähler-Einstein toric Fano manifolds associated to non-symmetric reflexive polytopes. Beitr. Algebra Geom (297–304). Springer, Berlin/Heidelberg, 2011.
- . On the facets of the secondary polytope. J. Comb. Theory, Ser. A (425–447). Elsevier (Academic Press), San Diego, CA, 2011.
- . Minimal half-spaces and external representation of tropical polyhedra. J. Algebr. Comb (325–348). Springer US, New York, NY, 2011.
- . Parametric analysis of alignment and phylogenetic uncertainty. Bull. Math. Biol (795–810). Springer US, New York, NY, 2011.
- . Polyhedral geometry of phylogenetic rogue taxa. Bull. Math. Biol (1202–1226). Springer US, New York, NY, 2011.
- . Roots of Ehrhart polynomials arising from graphs. J. Algebr. Comb (721–749). Springer US, New York, NY, 2011.
- . On the occurrence probability of local binary patterns: a theoretical study. J. Math. Imaging Vis (259–268). Springer US, New York, NY, 2011.
- . Projecting lattice polytopes without interior lattice points. Math. Oper. Res (462–467). 2011. doi: 10.1287/moor.1110.0503. {https://doi.org/10.1287/moor.1110.0503}
- . Gröbner techniques for low-degree Hilbert stability. Exp. Math (34–56). 2011. doi: 10.1080/10586458.2011.544577. {https://doi.org/10.1080/10586458.2011.544577}
- . Combinatorial properties of the $K3$ surface: simplicial blowups and slicings. Exp. Math (201–216). 2011. doi: 10.1080/10586458.2011.564546. {https://doi.org/10.1080/10586458.2011.564546}
- . An asymptotic behaviour of the marginal likelihood for general Markov models. J. Mach. Learn. Res (3283–3310). 2011.
- . Normaliz: Algorithms for affine monoids and rational cones. J. Algebra (1098–1113). Elsevier (Academic Press), San Diego, CA, 2010.
- . Hamiltonian submanifolds of regular polytopes. Discrete Comput. Geom (242–262). Springer US, New York, NY, 2010.
- . 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.
- . On cardinality constrained cycle and path polytopes. Math. Program (371–394). Springer, Berlin/Heidelberg, 2010.
- . A geometric interpretation of the characteristic polynomial of reflection arrangements. Proc. Am. Math. Soc (2873–2887). American Mathematical Society (AMS), Providence, RI, 2010.
- . Siphons in chemical reaction networks. Bull. Math. Biol (1448–1463). Springer US, New York, NY, 2010.
- . An implicitization challenge for binary factor analysis. J. Symb. Comput (1296–1315). Elsevier (Academic Press), London, 2010.
- . Cardinality constrained combinatorial optimization: complexity and polyhedra. Discrete Optim (99–113). Elsevier, Amsterdam, 2010.
- . Tropical and ordinary convexity combined. Adv. Geom (333–352). 2010. doi: 10.1515/ADVGEOM.2010.012. {https://doi.org/10.1515/ADVGEOM.2010.012}
- . An update on the Hirsch conjecture. Jahresber. Dtsch. Math.-Ver (73–98). 2010. doi: 10.1365/s13291-010-0001-8. {https://doi.org/10.1365/s13291-010-0001-8}
- . Binary Hermitian forms over a cyclotomic field. J. Algebra (4132–4142). Elsevier (Academic Press), San Diego, CA, 2009.
- . Hierarchical models, marginal polytopes, and linear codes. Kybernetika (189–207). Academy of Sciences of the Czech Republic, Institute of Information Theory and Automation, Prague, 2009.
- . Matching polytopes, toric geometry, and the totally non-negative Grassmannian. J. Algebr. Comb (173–191). Springer US, New York, NY, 2009.
- . Graphs of transportation polytopes. J. Comb. Theory, Ser. A (1306–1325). Elsevier (Academic Press), San Diego, CA, 2009.
- . Zonotopes with large 2D-cuts. Discrete Comput. Geom (527–541). Springer US, New York, NY, 2009.
- . Grid graphs, Gorenstein polytopes, and domino stackings. Graphs Comb (409–426). Springer Japan, Tokyo, 2009.
- . Wythoff polytopes and low-dimensional homology of Mathieu groups. J. Algebra (4143–4150). Elsevier (Academic Press), San Diego, CA, 2009.
- . Facets of the ((s,t)-p )-path polytope. Discrete Appl. Math (3119–3132). Elsevier (North-Holland), Amsterdam, 2009.
- . Galois groups of Schubert problems via homotopy computation. Math. Comput (1749–1765). American Mathematical Society (AMS), Providence, RI, 2009.
- . On Minkowski sums of simplices. Ann. Comb (271–287). Springer (Birkhäuser), Basel, 2009.
- . How to draw tropical planes. Electron. J. Combin (Research Paper 6, 26). 2009. {http://www.combinatorics.org/Volume_16/Abstracts/v16i2r6.html}
- . Convex rank tests and semigraphoids. SIAM J. Discrete Math (1117–1134). 2009. doi: 10.1137/080715822. {https://doi.org/10.1137/080715822}
- . Flow polytopes and the graph of reflexive polytopes. Discrete Math (4992–4999). 2009. doi: 10.1016/j.disc.2009.03.001. {https://doi.org/10.1016/j.disc.2009.03.001}
- . Quadratic Gröbner bases for smooth times3$ transportation polytopes. J. Algebraic Combin (477–489). 2009. doi: 10.1007/s10801-009-0173-4. {https://doi.org/10.1007/s10801-009-0173-4}
- . Traveling salesman path problems. Math. Program (39–59). Springer, Berlin/Heidelberg, 2008.
- . Equivalence of mirror families constructed from toric degenerations of flag varieties. Transform. Groups (173–194). Springer (Birkhäuser), Boston, MA, 2008.
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