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publications [2014/01/03 15:45] – external edit 127.0.0.1 | publications [2014/03/28 17:23] – corrected links sherrmann |
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- [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], [[http://ehrhart.math.fu-berlin.de/people/benmuell/index.html|Benjamin Müller]], and [[http://ehrhart.math.fu-berlin.de/people/paffenho/|Andreas Paffenholz]]. Polymake and Lattice Polytopes, Proceedings of the 21th International Conference on Formal Power Series and Algebraic Combinatorics (2009), 493--504. [[http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAK0141/2751|dmAK0141/2751]] | - [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], [[http://ehrhart.math.fu-berlin.de/people/benmuell/index.html|Benjamin Müller]], and [[http://ehrhart.math.fu-berlin.de/people/paffenho/|Andreas Paffenholz]]. Polymake and Lattice Polytopes, Proceedings of the 21th International Conference on Formal Power Series and Algebraic Combinatorics (2009), 493--504. [[http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAK0141/2751|dmAK0141/2751]] |
- [[http://www.math.tu-berlin.de/coga/people/gawrilow/|Ewgenij Gawrilow]], [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], [[http://www.math.tu-berlin.de/~thilosch|Thilo Rörig]], and [[http://www.math.tu-berlin.de/~witte|Nikolaus Witte]]. Drawing polytopal graphs with polymake, Computing and Visualization in Science 13 (2010), no. 2, 99--110 [[http://www.springerlink.com/content/t3217196q6816344/fulltext.pdf|DOI:10.1007/s00791-009-0127-3]] | - [[http://www.math.tu-berlin.de/coga/people/gawrilow/|Ewgenij Gawrilow]], [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], [[http://www.math.tu-berlin.de/~thilosch|Thilo Rörig]], and [[http://www.math.tu-berlin.de/~witte|Nikolaus Witte]]. Drawing polytopal graphs with polymake, Computing and Visualization in Science 13 (2010), no. 2, 99--110 [[http://www.springerlink.com/content/t3217196q6816344/fulltext.pdf|DOI:10.1007/s00791-009-0127-3]] |
- Sven Herrmann, [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], and Marc E. Pfetsch. Computing the bounded subcomplex of an unbounded polyhedron. [[http://arxiv.org/abs/1006.2767|arXiv:1006.2767]] | - [[http://svenherrmann.net/math/|Sven Herrmann]], [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], and Marc E. Pfetsch. Computing the bounded subcomplex of an unbounded polyhedron. [[http://arxiv.org/abs/1006.2767|arXiv:1006.2767]] |
- [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]] and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]]. Defect Polytopes and Counter-Examples With polymake. [[http://arxiv.org/abs/1105.5027|arXiv:1105.0527]] | - [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]] and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]]. Defect Polytopes and Counter-Examples With polymake. [[http://arxiv.org/abs/1105.5027|arXiv:1105.0527]] |
===== Publications with references to polymake ===== | ===== Publications with references to polymake ===== |
- [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], Jenia Tevelev and [[http://math.berkeley.edu/~jyu/|Josephine Yu]]. The Newton polytope of the implicit equation. Mosc. Math. J. 7 (2007), no. 2, 327--346, 351. [[http://www.ams.org/mathscinet-getitem?mr=2337885|MR2337885]] | - [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], Jenia Tevelev and [[http://math.berkeley.edu/~jyu/|Josephine Yu]]. The Newton polytope of the implicit equation. Mosc. Math. J. 7 (2007), no. 2, 327--346, 351. [[http://www.ams.org/mathscinet-getitem?mr=2337885|MR2337885]] |
- [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]] and [[http://www.math.tu-berlin.de/~thilosch/|Thilo Rörig]]. Neighborly cubical polytopes and spheres. Israel J. Math. 159 (2007), 221--242.[[http://www.ams.org/mathscinet-getitem?mr=2342479|MR2342479]] | - [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]] and [[http://www.math.tu-berlin.de/~thilosch/|Thilo Rörig]]. Neighborly cubical polytopes and spheres. Israel J. Math. 159 (2007), 221--242.[[http://www.ams.org/mathscinet-getitem?mr=2342479|MR2342479]] |
- [[http://www.mathematik.tu-darmstadt.de/~sherrmann|Sven Herrmann]] and [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]]. Bounds on the f-vectors of tight spans. Contrib. Discrete Math. 2 (2007), no. 2, 161--184 [[http://cdm.math.ca/index.php/cdm/article/view/67|(electronic)]]. [[http://www.ams.org/mathscinet-getitem?mr=2358269|MR2358269]] | - [[http://svenherrmann.net/math/|Sven Herrmann]] and [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]]. Bounds on the f-vectors of tight spans. Contrib. Discrete Math. 2 (2007), no. 2, 161--184 [[http://cdm.math.ca/index.php/cdm/article/view/67|(electronic)]]. [[http://www.ams.org/mathscinet-getitem?mr=2358269|MR2358269]] |
- [[http://www.ma.utexas.edu/users/eekatz/|Eric Katz]], [[http://www.mathematik.uni-kl.de/~markwig/en/index.html|Hannah Markwig]], and [[http://www.mathematik.uni-kl.de/~keilen/de/index.html|Thomas Markwig]]. The j-invariant of a plane tropical cubic, J. Algebra 320 (2008), no. 10, 3832--3848. [[http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WH2-4TDJGDK-4-1&_cdi=6838&_user=2415276&_pii=S0021869308004225&_orig=search&_coverDate=11%2F15%2F2008&_sk=996799989&view=c&wchp=dGLbVtz-zSkWb&md5=93214db40e4082c5a988661d9c3f71ce&ie=/sdarticle.pdf|MR2457725]] | - [[http://www.ma.utexas.edu/users/eekatz/|Eric Katz]], [[http://www.mathematik.uni-kl.de/~markwig/en/index.html|Hannah Markwig]], and [[http://www.mathematik.uni-kl.de/~keilen/de/index.html|Thomas Markwig]]. The j-invariant of a plane tropical cubic, J. Algebra 320 (2008), no. 10, 3832--3848. [[http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WH2-4TDJGDK-4-1&_cdi=6838&_user=2415276&_pii=S0021869308004225&_orig=search&_coverDate=11%2F15%2F2008&_sk=996799989&view=c&wchp=dGLbVtz-zSkWb&md5=93214db40e4082c5a988661d9c3f71ce&ie=/sdarticle.pdf|MR2457725]] |
- [[http://www.ima.umn.edu/~leykin/|Anton Leykin]] and [[http://www.math.tamu.edu/~sottile/|Frank Sottile]]. Galois groups of Schubert problems via homotopy computation, Math. Comp. 78 (2009), no. 267, 1749--1765. [[http://www.ams.org/journals/mcom/2009-78-267/S0025-5718-09-02239-X/S0025-5718-09-02239-X.pdf|MR2501073]] | - [[http://www.ima.umn.edu/~leykin/|Anton Leykin]] and [[http://www.math.tamu.edu/~sottile/|Frank Sottile]]. Galois groups of Schubert problems via homotopy computation, Math. Comp. 78 (2009), no. 267, 1749--1765. [[http://www.ams.org/journals/mcom/2009-78-267/S0025-5718-09-02239-X/S0025-5718-09-02239-X.pdf|MR2501073]] |
- [[http://faculty.tnstate.edu/sforcey/|Stefan Forcey]]. Quotients of the Multiplihedron as Categorified Associahedra, Homology, Homotopy Appl. 10 (2008), no. 2, 227--256. [[http://www.intlpress.com/HHA/v10/n2/a12/v10n2a12.pdf|MR2475611]] | - [[http://faculty.tnstate.edu/sforcey/|Stefan Forcey]]. Quotients of the Multiplihedron as Categorified Associahedra, Homology, Homotopy Appl. 10 (2008), no. 2, 227--256. [[http://www.intlpress.com/HHA/v10/n2/a12/v10n2a12.pdf|MR2475611]] |
- [[http://www.ma.utexas.edu/users/eekatz/|Eric Katz]], [[http://www.mathematik.uni-kl.de/~markwig/en/index.html|Hannah Markwig]], and [[http://www.mathematik.uni-kl.de/~keilen/de/index.html|Thomas Markwig]]. The tropical $j$-invariant, LMS J. Comput. Math. 12 (2009), 275--294. [[http://www.lms.ac.uk/jcm/12/lms2008-012/sub/lms2008-012.pdf|MR2570928]] | - [[http://www.ma.utexas.edu/users/eekatz/|Eric Katz]], [[http://www.mathematik.uni-kl.de/~markwig/en/index.html|Hannah Markwig]], and [[http://www.mathematik.uni-kl.de/~keilen/de/index.html|Thomas Markwig]]. The tropical $j$-invariant, LMS J. Comput. Math. 12 (2009), 275--294. [[http://www.lms.ac.uk/jcm/12/lms2008-012/sub/lms2008-012.pdf|MR2570928]] |
- [[http://www.mathematik.tu-darmstadt.de/~sherrmann|Sven Herrmann]] and [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]]. Splitting Polytopes, Münster J. Math. 1 (2008), 109--141. [[http://wwwmath.uni-muenster.de/mjm/vol_1/mjm_vol_1_05.pdf|MR2502496]] | - [[http://svenherrmann.net/math/|Sven Herrmann]] and [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]]. Splitting Polytopes, Münster J. Math. 1 (2008), 109--141. [[http://wwwmath.uni-muenster.de/mjm/vol_1/mjm_vol_1_05.pdf|MR2502496]] |
- [[http://www.math.tu-berlin.de/~lutz/|Frank H. Lutz]], [[http://hep.physics.indiana.edu/~tsulanke/graphs/|Thom Sulanke]], and [[http://www.math.cornell.edu/~ebs/|Ed Swartz]]. f-Vectors of 3-Manifolds, Electron. J. Combin. 16 (2009), no. 2, Special volume in honor of Anders Bjorner, Research Paper 13, 33 pp. [[http://www.combinatorics.org/Volume_16/PDF/v16i2r13.pdf|MR2515776]] | - [[http://www.math.tu-berlin.de/~lutz/|Frank H. Lutz]], [[http://hep.physics.indiana.edu/~tsulanke/graphs/|Thom Sulanke]], and [[http://www.math.cornell.edu/~ebs/|Ed Swartz]]. f-Vectors of 3-Manifolds, Electron. J. Combin. 16 (2009), no. 2, Special volume in honor of Anders Bjorner, Research Paper 13, 33 pp. [[http://www.combinatorics.org/Volume_16/PDF/v16i2r13.pdf|MR2515776]] |
- [[http://www.williams.edu/go/math/devadoss/|Satyan L. Devadoss]] and [[http://faculty.tnstate.edu/sforcey/|Stefan Forcey]]. Marked tubes and the graph multiplihedron, Algebr. Geom. Topol. 8 (2008), no. 4, 2081--2108. Only available as a preprint: [[http://arxiv.org/abs/0807.4159|arXiv:0807.4159v1]] | - [[http://www.williams.edu/go/math/devadoss/|Satyan L. Devadoss]] and [[http://faculty.tnstate.edu/sforcey/|Stefan Forcey]]. Marked tubes and the graph multiplihedron, Algebr. Geom. Topol. 8 (2008), no. 4, 2081--2108. Only available as a preprint: [[http://arxiv.org/abs/0807.4159|arXiv:0807.4159v1]] |
- [[http://www.mathematik.tu-darmstadt.de/~sherrmann|Sven Herrmann]], [[http://www.math.tu-berlin.de/numerik/mt/jensen_de.html|Anders Jensen]], [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], and [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]]. How to Draw Tropical Planes, Electron. J. Combin. 16 (2009), no. 2, Special volume in honor of Anders Bjorner, Research Paper 6, 26 pp. [[http://www.combinatorics.org/Volume_16/PDF/v16i2r6.pdf|MR2515769]] | - [[http://svenherrmann.net/math/|Sven Herrmann]], [[http://www.math.tu-berlin.de/numerik/mt/jensen_de.html|Anders Jensen]], [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], and [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]]. How to Draw Tropical Planes, Electron. J. Combin. 16 (2009), no. 2, Special volume in honor of Anders Bjorner, Research Paper 6, 26 pp. [[http://www.combinatorics.org/Volume_16/PDF/v16i2r6.pdf|MR2515769]] |
- [[http://www.liga.ens.fr/~dutour/|Mathieu Dutour Sikiric]]; Graham Ellis. Wythoff polytopes and low-dimensional homology of Mathieu groups. J. Algebra 322 (2009), no. 11, 4143--4150. [[http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WH2-4XDKCFC-3-1&_cdi=6838&_user=2415276&_pii=S0021869309005420&_orig=search&_coverDate=12%2F01%2F2009&_sk=996779988&view=c&wchp=dGLbVtb-zSkzV&md5=8c4db124fd3417deab547f3968ad6422&ie=/sdarticle.pdf|MR2556144]] | - [[http://www.liga.ens.fr/~dutour/|Mathieu Dutour Sikiric]]; Graham Ellis. Wythoff polytopes and low-dimensional homology of Mathieu groups. J. Algebra 322 (2009), no. 11, 4143--4150. [[http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WH2-4XDKCFC-3-1&_cdi=6838&_user=2415276&_pii=S0021869309005420&_orig=search&_coverDate=12%2F01%2F2009&_sk=996779988&view=c&wchp=dGLbVtb-zSkzV&md5=8c4db124fd3417deab547f3968ad6422&ie=/sdarticle.pdf|MR2556144]] |
- [[http://www.math.tu-berlin.de/~stephan/|Stephan, Rüdiger]]. Facets of the $(s,t)$-$p$-path polytope. Discrete Appl. Math. 157 (2009), no. 14, 3119--3132. Only available as a preprint: [[http://arxiv.org/pdf/math/0606308v1|arXiv: math.OC/0606308]] | - [[http://www.math.tu-berlin.de/~stephan/|Stephan, Rüdiger]]. Facets of the $(s,t)$-$p$-path polytope. Discrete Appl. Math. 157 (2009), no. 14, 3119--3132. Only available as a preprint: [[http://arxiv.org/pdf/math/0606308v1|arXiv: math.OC/0606308]] |
- [[http://www2.informatik.hu-berlin.de/~eickmeye/|Kord Eickmeyer]], [[http://web.as.uky.edu/statistics/people/faculty/ruriko.php|Ruriko Yoshida]]. The Geometry of the Neighbor-Joining Algorithm for Small Trees (2009). Preprint [[http://arxiv.org/pdf/0908.0098v1|arXiv:0908.0098v1]] | - [[http://www2.informatik.hu-berlin.de/~eickmeye/|Kord Eickmeyer]], [[http://web.as.uky.edu/statistics/people/faculty/ruriko.php|Ruriko Yoshida]]. The Geometry of the Neighbor-Joining Algorithm for Small Trees (2009). Preprint [[http://arxiv.org/pdf/0908.0098v1|arXiv:0908.0098v1]] |
- [[http://amadeus.inria.fr/gaubert/|Stéphane Gaubert]] and Ricardo D. Katz. Minimal half-spaces and external representation of tropical polyhedra (2009). Preprint [[http://arxiv.org/pdf/0908.1586v1|arXiv:0908.1586]] | - [[http://amadeus.inria.fr/gaubert/|Stéphane Gaubert]] and Ricardo D. Katz. Minimal half-spaces and external representation of tropical polyhedra (2009). Preprint [[http://arxiv.org/pdf/0908.1586v1|arXiv:0908.1586]] |
- [[http://www.mathematik.tu-darmstadt.de/~sherrmann|Sven Herrmann]]. Facets of Secondary Polytopes (2009). Preprint [[http://arxiv.org/pdf/0908.2537v2|arXiv:0908.2537]] | - [[http://svenherrmann.net/math/|Sven Herrmann]]. Facets of Secondary Polytopes (2009). Preprint [[http://arxiv.org/pdf/0908.2537v2|arXiv:0908.2537]] |
- [[http://www.mathematik.uni-stuttgart.de/fachbereich/visitenkarte.t?id=593&lang=de|Jonathan Spreer]] and [[http://www.igt.uni-stuttgart.de/LstDiffgeo/Kuehnel/|Wolfgang Kühnel]]. Combinatorial properties of the K3 surface: Simplicial blowups and slicings (2009). Preprint [[http://arxiv.org/pdf/0909.1453v2|arXiv:0909.1453]] | - [[http://www.mathematik.uni-stuttgart.de/fachbereich/visitenkarte.t?id=593&lang=de|Jonathan Spreer]] and [[http://www.igt.uni-stuttgart.de/LstDiffgeo/Kuehnel/|Wolfgang Kühnel]]. Combinatorial properties of the K3 surface: Simplicial blowups and slicings (2009). Preprint [[http://arxiv.org/pdf/0909.1453v2|arXiv:0909.1453]] |
- [[http://www.fordham.edu/morrison/|Ian Morrison]], [[http://www.math.uga.edu/~davids/|David Swinarski]]. Groebner techniques for low degree Hilbert stability (2009). Preprint [[http://arxiv.org/pdf/0910.2047v1|arXiv:0910.2047]] | - [[http://www.fordham.edu/morrison/|Ian Morrison]], [[http://www.math.uga.edu/~davids/|David Swinarski]]. Groebner techniques for low degree Hilbert stability (2009). Preprint [[http://arxiv.org/pdf/0910.2047v1|arXiv:0910.2047]] |