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publications [2014/03/28 17:23] – corrected links sherrmann | publications [2019/03/14 16:27] – eble |
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===== Papers about polymake ===== | ===== Papers about polymake ===== |
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- [[http://www.math.tu-berlin.de/coga/people/gawrilow/|Ewgenij Gawrilow]] and [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]]. polymake: a framework for analyzing convex polytopes. Polytopes---combinatorics and computation (Oberwolfach, 1997), 43--73, DMV Sem., 29, Birkhäuser, Basel, 2000. [[http://www.ams.org/mathscinet-getitem?mr=1785292|MR1785292 (2001f:52033)]] | - [[http://www.math.tu-berlin.de/coga/people/gawrilow/|Ewgenij Gawrilow]] and [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]. polymake: a framework for analyzing convex polytopes. Polytopes---combinatorics and computation (Oberwolfach, 1997), 43--73, DMV Sem., 29, Birkhäuser, Basel, 2000. [[http://www.ams.org/mathscinet-getitem?mr=1785292|MR1785292 (2001f:52033)]] |
- [[http://www.math.tu-berlin.de/coga/people/gawrilow/|Ewgenij Gawrilow]] and [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]]. polymake: an approach to modular software design in computational geometry, Proceedings of the 17th Annual Symposium on Computational Geometry, 222--231. ACM, 2001. | - [[http://www.math.tu-berlin.de/coga/people/gawrilow/|Ewgenij Gawrilow]] and [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]]. polymake: an approach to modular software design in computational geometry, Proceedings of the 17th Annual Symposium on Computational Geometry, 222--231. ACM, 2001. |
- [[http://www.math.tu-berlin.de/coga/people/gawrilow/|Ewgenij Gawrilow]] and [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]]. Geometric reasoning with polymake. In: Kurt Kremer and Volker Macho, eds., Forschung und wissenschaftliches Rechnen 2005: Beiträge zum Heinz-Billing-Preis 2005, Gesellschaft für wissenschaftliche Datenverarbeitung mbh Göttingen, Bericht Nr. 69, 37--52. Preprint [[http://front.math.ucdavis.edu/math.CO/0507273|arXiv:math.CO/0507273]]. | - [[http://www.math.tu-berlin.de/coga/people/gawrilow/|Ewgenij Gawrilow]] and [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]]. Geometric reasoning with polymake. In: Kurt Kremer and Volker Macho, eds., Forschung und wissenschaftliches Rechnen 2005: Beiträge zum Heinz-Billing-Preis 2005, Gesellschaft für wissenschaftliche Datenverarbeitung mbh Göttingen, Bericht Nr. 69, 37--52. Preprint [[http://front.math.ucdavis.edu/math.CO/0507273|arXiv:math.CO/0507273]]. |
- [[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://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]] |
| - Benjamin Assarf , Ewgenij Gawrilow, Katrin Herr, Michael Joswig, Benjamin Lorenz, Andreas Paffenholz and Thomas Rehn, polymake in Linear and Integer Programming, [[http://arxiv.org/abs/1408.4653|arXiv:1408.4653]] |
===== Publications with references to polymake ===== | ===== Publications with references to polymake ===== |
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- [[http://www.math.fu-berlin.de/groups/grouptheory/members/baumeister.html|Barbara Baumeister]], [[http://ehrhart.math.fu-berlin.de/people/haase/|Christian Haase]], [[http://www.mathematik.uni-tuebingen.de/~nill/nill.html|Benjamin Nill]], and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]], Permutation Polytopes of Cyclic Groups, [[http://arxiv.org/abs/1109.0191|arXiv:1109.0191]] | - [[http://www.math.fu-berlin.de/groups/grouptheory/members/baumeister.html|Barbara Baumeister]], [[http://ehrhart.math.fu-berlin.de/people/haase/|Christian Haase]], [[http://www.mathematik.uni-tuebingen.de/~nill/nill.html|Benjamin Nill]], and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]], Permutation Polytopes of Cyclic Groups, [[http://arxiv.org/abs/1109.0191|arXiv:1109.0191]] |
- [[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, extended abstract, Issac 2011, [[http://arxiv.org/abs/1105.5027|arXiv:1105.5027]] | - [[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, extended abstract, Issac 2011, [[http://arxiv.org/abs/1105.5027|arXiv:1105.5027]] |
- [[http://www.math.fu-berlin.de/groups/grouptheory/members/baumeister.html|Barbara Baumeister]], [[http://ehrhart.math.fu-berlin.de/people/haase/|Christian Haase]], [[http://www.mathematik.uni-tuebingen.de/~nill/nill.html|Benjamin Nill]], and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]], Polytopes associated to Dihedral Groups, to appear in: Ars Math. Cont., 7(1), 2014 | - [[http://www.math.fu-berlin.de/groups/grouptheory/members/baumeister.html|Barbara Baumeister]], [[http://ehrhart.math.fu-berlin.de/people/haase/|Christian Haase]], [[http://www.mathematik.uni-tuebingen.de/~nill/nill.html|Benjamin Nill]], and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]], Polytopes associated to Dihedral Groups, Ars Math. Cont., 7(1), 2014, pp. 30-38 |
- Benjamin Assarf, [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]], Smooth Fano Polytopes With Many Vertices, [[http://arxiv.org/abs/1209.3186|arXiv:1209.3186]] | - Benjamin Assarf, [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]], Smooth Fano Polytopes With Many Vertices, [[http://arxiv.org/abs/1209.3186|arXiv:1209.3186]] |
- Benjamin Lorenz and Benjamin Nill, On smooth Gorenstein polytopes, [[http://arxiv.org/abs/1303.2138|arXiv:1303.2138]] | - Benjamin Lorenz and Benjamin Nill, On smooth Gorenstein polytopes, [[http://arxiv.org/abs/1303.2138|arXiv:1303.2138]] |
| - Olivia Beckwith and Matthew Grimm and Jenya Soprunova and Bradley Weaver, Minkowski length of 3D lattice polytopes, Discrete Comput. Geom. 48 (2012), no. 4, 1137–1158. |
| - Matthias Henze, On counterexamples to a conjecture of Wills and Ehrhart polynomials whose roots have equal real parts, Electron. J. Combin. 21 (2014), no. 1, Paper 1.28, 12 pp. |
| - Simon Hampe, a-tint: a polymake extension for algorithmic tropical intersection theory, European J. Combin. 36 (2014), 579–607. |
| - Carsten Lange, Minkowski decomposition of associahedra and related combinatorics, Discrete Comput. Geom. 50 (2013), no. 4, 903–939. |
| - Arnau Padrol, Many neighborly polytopes and oriented matroids, Discrete Comput. Geom. 50 (2013), no. 4, 865–902. |
| - [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]], Finiteness of the polyhedral Q-codegree spectrum, to appear in: Proc. AMS, 2014. |
| - [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]] Faces of Birkhoff Polytopes, preprint, TU Darmstadt, April 2013, 29 pages. [[http://arxiv.org/abs/1304.3948|arXiv:1304.3948]] |
| - Christian Haase, Lindsay Piechnik, [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]] and Francisco Santos, Existence of regular unimodular triangulations --- Positive Results, preprint, TU Darmstadt, May 2014, 82 pages, [[http://arxiv.org/abs/1405.1687|arXiv:1405.1687]] |
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