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publications [2019/03/14 16:35] – eble | publications [2019/03/14 17:06] – 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 [[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)]] | - 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 [[https://page.math.tu-berlin.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. | - Ewgenij Gawrilow and [[https://page.math.tu-berlin.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 [[https://page.math.tu-berlin.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]]. | - Ewgenij Gawrilow and [[https://page.math.tu-berlin.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]]. |
- [[https://page.math.tu-berlin.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]] | - [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]], Benjamin Müller, and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|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]], [[https://page.math.tu-berlin.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]] | - Ewgenij Gawrilow, [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]], [[http://www.math.tu-berlin.de/~thilosch|Thilo Rörig]], and 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://svenherrmann.net/math/|Sven Herrmann]], [[https://page.math.tu-berlin.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]], [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]], and [[https://www2.mathematik.tu-darmstadt.de/~pfetsch/|Marc E. Pfetsch]]. Computing the bounded subcomplex of an unbounded polyhedron. [[http://arxiv.org/abs/1006.2767|arXiv:1006.2767]] |
- [[https://page.math.tu-berlin.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]] | - [[https://page.math.tu-berlin.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]] | - 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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- [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]] and [[http://www.math.tu-berlin.de/~ziegler/|Günter M. Ziegler]]. Neighborly cubical polytopes. The Branko Grünbaum birthday issue. Discrete Comput. Geom. 24 (2000), no. 2-3, 325--344. [[http://www.springerlink.com/content/m73pqv6kr80rw4b1/fulltext.pdf|MR1758054 (2001f:52019)]] | - [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]] and [[http://www.mi.fu-berlin.de/math/groups/discgeom/ziegler/|Günter M. Ziegler]]. Neighborly cubical polytopes. The Branko Grünbaum birthday issue. Discrete Comput. Geom. 24 (2000), no. 2-3, 325--344. [[http://www.springerlink.com/content/m73pqv6kr80rw4b1/fulltext.pdf|MR1758054 (2001f:52019)]] |
- Andrea Höppner and [[http://www.math.tu-berlin.de/~ziegler/|Günter M. Ziegler]]. A census of flag-vectors of 4-polytopes. Polytopes---combinatorics and computation (Oberwolfach, 1997), 105--110, DMV Sem., 29, Birkhäuser, Basel, 2000. [[http://www.ams.org/mathscinet-getitem?mr=1785294|MR1785294 (2001e:52026)]] [[http://www.math.tu-berlin.de/~ziegler/|Günter M. Ziegler]]. Lectures on $0/1$-polytopes. Polytopes---combinatorics and computation (Oberwolfach, 1997), 1--41, DMV Sem., 29, Birkhäuser, Basel, 2000. [[http://www.ams.org/mathscinet-getitem?mr=1785291|MR1785291 (2001e:52017)]] | - Andrea Höppner and [[http://www.mi.fu-berlin.de/math/groups/discgeom/ziegler|Günter M. Ziegler]]. A census of flag-vectors of 4-polytopes. Polytopes---combinatorics and computation (Oberwolfach, 1997), 105--110, DMV Sem., 29, Birkhäuser, Basel, 2000. [[http://www.ams.org/mathscinet-getitem?mr=1785294|MR1785294 (2001e:52026)]] [[http://www.mi.fu-berlin.de/math/groups/discgeom/ziegler|Günter M. Ziegler]]. Lectures on $0/1$-polytopes. Polytopes---combinatorics and computation (Oberwolfach, 1997), 1--41, DMV Sem., 29, Birkhäuser, Basel, 2000. [[http://www.ams.org/mathscinet-getitem?mr=1785291|MR1785291 (2001e:52017)]] |
- [[http://www.math.ku.edu/~bayer/|M.M. Bayer]], A.M. Bruening, and J.D. Stewart. A combinatorial study of multiplexes and ordinary polytopes. Geometric combinatorics (San Francisco, CA/Davis, CA, 2000). Discrete Comput. Geom. 27 (2002), no. 1, 49--63. [[http://www.ams.org/mathscinet-getitem?mr=1871688|MR1871688 (2002k:52012)]] | - M.M. Bayer, A.M. Bruening, and J.D. Stewart. A combinatorial study of multiplexes and ordinary polytopes. Geometric combinatorics (San Francisco, CA/Davis, CA, 2000). Discrete Comput. Geom. 27 (2002), no. 1, 49--63. [[http://www.ams.org/mathscinet-getitem?mr=1871688|MR1871688 (2002k:52012)]] |
- [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]; [[http://www.math.uni-magdeburg.de/~kaibel/|Volker Kaibel]]; [[http://www.math.tu-bs.de/%7Epfetsch/|Marc E. Pfetsch]]; [[http://www.math.tu-berlin.de/~ziegler/|Günter M. Ziegler]]. Vertex-facet incidences of unbounded polyhedra. Adv. Geom. 1 (2001), no. 1, 23--36. [[http://www.reference-global.com/doi/pdf/10.1515/advg.2001.002|MR1823950 (2002b:52015)]] | - [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]; [[http://www.math.uni-magdeburg.de/~kaibel/|Volker Kaibel]]; [[https://www2.mathematik.tu-darmstadt.de/~pfetsch/|Marc E. Pfetsch]]; [[http://www.mi.fu-berlin.de/math/groups/discgeom/ziegler|Günter M. Ziegler]]. Vertex-facet incidences of unbounded polyhedra. Adv. Geom. 1 (2001), no. 1, 23--36. [[http://www.reference-global.com/doi/pdf/10.1515/advg.2001.002|MR1823950 (2002b:52015)]] |
- [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]. Software integration and computer proofs. Mathematical software (Beijing, 2002), 15--28, World Sci. Publ., River Edge, NJ, 2002. [[http://www.ams.org/mathscinet-getitem?mr=1932601|MR1932601]] | - [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]. Software integration and computer proofs. Mathematical software (Beijing, 2002), 15--28, World Sci. Publ., River Edge, NJ, 2002. [[http://www.ams.org/mathscinet-getitem?mr=1932601|MR1932601]] |
- [[http://ehrhart.math.fu-berlin.de/people/haase/|Christian Haase]] and [[http://www.math.tu-berlin.de/~ziegler/|Günter M. Ziegler]]. Examples and counterexamples for the Perles conjecture. Discrete Comput. Geom. 28 (2002), no. 1, 29--44. [[http://www.ams.org/mathscinet-getitem?mr=1904008|MR1904008 (2003e:52016)]] | - [[https://www.mi.fu-berlin.de/math/groups/ag-diskret-algebra-geom/members/Professoren/christian_haase.html|Christian Haase]] and [[http://www.mi.fu-berlin.de/math/groups/discgeom/ziegler|Günter M. Ziegler]]. Examples and counterexamples for the Perles conjecture. Discrete Comput. Geom. 28 (2002), no. 1, 29--44. [[http://www.ams.org/mathscinet-getitem?mr=1904008|MR1904008 (2003e:52016)]] |
- [[http://www.math.uni-magdeburg.de/~kaibel/|Volker Kaibel]] and [[http://www.math.tu-berlin.de/~schwartz/|Alexander Schwartz]]. On the complexity of polytope isomorphism problems. Graphs Combin. 19 (2003), no. 2, 215--230. [[http://www.ams.org/mathscinet-getitem?mr=1996205|MR1996205 (2004e:05125)]] | - [[http://www.math.uni-magdeburg.de/~kaibel/|Volker Kaibel]] and Alexander Schwartz. On the complexity of polytope isomorphism problems. Graphs Combin. 19 (2003), no. 2, 215--230. [[http://www.ams.org/mathscinet-getitem?mr=1996205|MR1996205 (2004e:05125)]] |
- [[http://www.math.uni-magdeburg.de/~kaibel/|Volker Kaibel]] and [[http://www.math.tu-bs.de/%7Epfetsch/|Marc E. Pfetsch]]. Some algorithmic problems in polytope theory. (English summary) Algebra, geometry, and software systems, 23--47, Springer, Berlin, 2003. [[http://www.ams.org/mathscinet-getitem?mr=2011752|MR2011752 (2004i:52012)]] | - [[http://www.math.uni-magdeburg.de/~kaibel/|Volker Kaibel]] and [[https://www2.mathematik.tu-darmstadt.de/~pfetsch/|Marc E. Pfetsch]]. Some algorithmic problems in polytope theory. (English summary) Algebra, geometry, and software systems, 23--47, Springer, Berlin, 2003. [[http://www.ams.org/mathscinet-getitem?mr=2011752|MR2011752 (2004i:52012)]] |
- [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]. Beneath-and-beyond revisited. Algebra, geometry, and software systems, 1--21, Springer, Berlin, 2003. [[http://www.ams.org/mathscinet-getitem?mr=2011751|MR2011751 (2004k:68169)]] | - [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]. Beneath-and-beyond revisited. Algebra, geometry, and software systems, 1--21, Springer, Berlin, 2003. [[http://www.ams.org/mathscinet-getitem?mr=2011751|MR2011751 (2004k:68169)]] |
- [[http://www-ma2.upc.edu/~julian/|Julian Pfeifle]] and [[http://www.uni-bayreuth.de/departments/wirtschaftsmathematik/rambau/|Jörg Rambau]]. Computing triangulations using oriented matroids. Algebra, geometry, and software systems, 49--75, Springer, Berlin, 2003. [[http://www.ams.org/mathscinet-getitem?mr=2011753|MR2011753 (2004i:68233)]] | - [[http://www-ma2.upc.edu/~julian/|Julian Pfeifle]] and [[http://www.uni-bayreuth.de/departments/wirtschaftsmathematik/rambau/|Jörg Rambau]]. Computing triangulations using oriented matroids. Algebra, geometry, and software systems, 49--75, Springer, Berlin, 2003. [[http://www.ams.org/mathscinet-getitem?mr=2011753|MR2011753 (2004i:68233)]] |
- [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]. Computing Invariants of Simplicial Manifolds. Preprint [[http://front.math.ucdavis.edu/math.AT/0401176|arXiv:math.AT/0401176.]] | - [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]. Computing Invariants of Simplicial Manifolds. Preprint [[http://front.math.ucdavis.edu/math.AT/0401176|arXiv:math.AT/0401176.]] |
- [[http://www-ma2.upc.edu/~julian/|Julian Pfeifle]] and [[http://www.math.tu-berlin.de/~ziegler/|Günter M. Ziegler]]. On the monotone upper bound problem. Experiment. Math. 13 (2004), no. 1, 1--11. [[http://www.ams.org/mathscinet-getitem?mr=2065564|MR2065564 (2005f:52032)]] | - [[http://www-ma2.upc.edu/~julian/|Julian Pfeifle]] and [[http://www.mi.fu-berlin.de/math/groups/discgeom/ziegler|Günter M. Ziegler]]. On the monotone upper bound problem. Experiment. Math. 13 (2004), no. 1, 1--11. [[http://www.ams.org/mathscinet-getitem?mr=2065564|MR2065564 (2005f:52032)]] |
- [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]] and [[http://math.berkeley.edu/~jyu/|Josephine Yu]]. Classification of six-point metrics. Electron. J. Combin. 11 (2004), no. 1, Research Paper 44, 16 pp. (electronic). [[http://www.ams.org/mathscinet-getitem?mr=2097310|MR2097310 (2005m:51016)]] | - [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]] and [[http://math.berkeley.edu/~jyu/|Josephine Yu]]. Classification of six-point metrics. Electron. J. Combin. 11 (2004), no. 1, Research Paper 44, 16 pp. (electronic). [[http://www.ams.org/mathscinet-getitem?mr=2097310|MR2097310 (2005m:51016)]] |
- [[http://www.math.tu-berlin.de/~schwartz/| Alexander Schwartz]] and [[http://www.math.tu-berlin.de/~ziegler/|Günter M. Ziegler]]. Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds. (English summary) Experiment. Math. 13 (2004), no. 4, 385--413. [[http://www.ams.org/mathscinet-getitem?mr=2118264|MR2118264 (2007a:52015)]] | - Alexander Schwartz and [[http://www.mi.fu-berlin.de/math/groups/discgeom/ziegler|Günter M. Ziegler]]. Construction techniques for cubical complexes, odd cubical 4-polytopes, and prescribed dual manifolds. (English summary) Experiment. Math. 13 (2004), no. 4, 385--413. [[http://www.ams.org/mathscinet-getitem?mr=2118264|MR2118264 (2007a:52015)]] |
- [[http://math.berkeley.edu/~lpachter/|Lior Pachter]] and [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]] (eds.). Algebraic statistics for computational biology, Cambridge Univ. Press, New York, 2005. | - [[http://math.berkeley.edu/~lpachter/|Lior Pachter]] and [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]] (eds.). Algebraic statistics for computational biology, Cambridge Univ. Press, New York, 2005. |
- [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]. Polytope propagation on graphs. Algebraic statistics for computational biology, 181--192, Cambridge Univ. Press, New York, 2005. [[http://www.ams.org/mathscinet-getitem?mr=2205871|MR2205871]] | - [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]. Polytope propagation on graphs. Algebraic statistics for computational biology, 181--192, Cambridge Univ. Press, New York, 2005. [[http://www.ams.org/mathscinet-getitem?mr=2205871|MR2205871]] |
- [[http://math.sfsu.edu/beck/|Matthias Beck]] and [[http://math.sfsu.edu/hosten/|Serkan Hosten]]. Cyclotomic polytopes and growth series of cyclotomic lattices. Math. Res. Lett. 13 (2006), no. 4, 607--622. [[http://www.ams.org/mathscinet-getitem?mr=2250495|MR2250495 (2007h:52018)]] | - [[http://math.sfsu.edu/beck/|Matthias Beck]] and [[http://math.sfsu.edu/hosten/|Serkan Hosten]]. Cyclotomic polytopes and growth series of cyclotomic lattices. Math. Res. Lett. 13 (2006), no. 4, 607--622. [[http://www.ams.org/mathscinet-getitem?mr=2250495|MR2250495 (2007h:52018)]] |
- [[http://www-rcf.usc.edu/~guralnic/|Robert Guralnick]] and [[http://www.reed.edu/~davidp/|David Perkinson]]. Permutation polytopes and indecomposable elements in permutation groups. J. Combin. Theory Ser. A 113 (2006), no. 7, 1243--1256. [[http://www.ams.org/mathscinet-getitem?mr=2259059|MR2259059 (2007h:05076)]] | - [[http://www-rcf.usc.edu/~guralnic/|Robert Guralnick]] and [[http://www.reed.edu/~davidp/|David Perkinson]]. Permutation polytopes and indecomposable elements in permutation groups. J. Combin. Theory Ser. A 113 (2006), no. 7, 1243--1256. [[http://www.ams.org/mathscinet-getitem?mr=2259059|MR2259059 (2007h:05076)]] |
- [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]; [[http://www.math.tu-bs.de/%7Epfetsch/|Marc E. Pfetsch]]. Computing optimal Morse matchings. SIAM J. Discrete Math. 20 (2006), no. 1, 11--25 (electronic). [[http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=SJDMEC000020000001000011000001&idtype=cvips&prog=normal|MR2257241 (2007h:90067)]] | - [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]]; [[https://www2.mathematik.tu-darmstadt.de/~pfetsch/|Marc E. Pfetsch]]. Computing optimal Morse matchings. SIAM J. Discrete Math. 20 (2006), no. 1, 11--25 (electronic). [[http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=SJDMEC000020000001000011000001&idtype=cvips&prog=normal|MR2257241 (2007h:90067)]] |
- [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]]. New polytopes from products. J. Combin. Theory Ser. A 113 (2006), no. 7, 1396--1418. [[http://www.ams.org/mathscinet-getitem?mr=2259068|MR2259068 (2007m:52015)]] | - [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]]. New polytopes from products. J. Combin. Theory Ser. A 113 (2006), no. 7, 1396--1418. [[http://www.ams.org/mathscinet-getitem?mr=2259068|MR2259068 (2007m:52015)]] |
- [[http://www.math.harvard.edu/~seths/|Seth Sullivant]]. Compressed polytopes and statistical disclosure limitation. Tohoku Math. J. (2) 58 (2006), no. 3, 433--445. [[http://www.ams.org/mathscinet-getitem?mr=2273279|MR2273279]] | - [[http://www.math.harvard.edu/~seths/|Seth Sullivant]]. Compressed polytopes and statistical disclosure limitation. Tohoku Math. J. (2) 58 (2006), no. 3, 433--445. [[http://www.ams.org/mathscinet-getitem?mr=2273279|MR2273279]] |
- [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]] and [[http://www.math.tu-berlin.de/~witte|Nikolaus Witte]]. Products of foldable triangulations. Adv. Math. 210 (2007), no. 2, 769--796. [[http://www.ams.org/mathscinet-getitem?mr=2303239|MR2303239 (2008c:52017)]] | - [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]] and Nikolaus Witte. Products of foldable triangulations. Adv. Math. 210 (2007), no. 2, 769--796. [[http://www.ams.org/mathscinet-getitem?mr=2303239|MR2303239 (2008c:52017)]] |
- [[http://www.math.unizh.ch/user/ulrich/|Ulrich Derenthal]]. On a constant arising in Manin's conjecture for del Pezzo surfaces. Math. Res. Lett. 14 (2007), no. 3, 481--489. [[http://www.ams.org/mathscinet-getitem?mr=2318651|MR2318651]] | - [[http://www.math.unizh.ch/user/ulrich/|Ulrich Derenthal]]. On a constant arising in Manin's conjecture for del Pezzo surfaces. Math. Res. Lett. 14 (2007), no. 3, 481--489. [[http://www.ams.org/mathscinet-getitem?mr=2318651|MR2318651]] |
- [[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.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]] |
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- [[http://www.math.tu-berlin.de/~thilosch|Thilo Rörig]], [[http://www.math.tu-berlin.de/~witte|Nikolaus Witte]], and [[http://www.math.tu-berlin.de/~ziegler/|Günter M. Ziegler]]. Zonotopes With Large 2D Cuts, Discrete Comput. Geom. 42 (2009), no. 4, 527--541. [[http://www.springerlink.com/content/n47p88878825v232/fulltext.pdf|MR2556453]] | - [[http://www.math.tu-berlin.de/~thilosch|Thilo Rörig]], Nikolaus Witte, and [[http://www.mi.fu-berlin.de/math/groups/discgeom/ziegler|Günter M. Ziegler]]. Zonotopes With Large 2D Cuts, Discrete Comput. Geom. 42 (2009), no. 4, 527--541. [[http://www.springerlink.com/content/n47p88878825v232/fulltext.pdf|MR2556453]] |
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- [[http://www.math.uga.edu/~bnill/|Benjamin Nill]] and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]]. Examples of non-symmetric Kähler-Einstein toric Fano manifolds. Beitraege zur Algebra und Geometrie, 52(2), 2011, pp. 297-304 [[http://dx.doi.org/10.1007/s13366-011-0041-y|doi]], [[http://arxiv.org/abs/0905.2054|arxiv:0905.2054]] | - [[http://www.math.uga.edu/~bnill/|Benjamin Nill]] and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]]. Examples of non-symmetric Kähler-Einstein toric Fano manifolds. Beitraege zur Algebra und Geometrie, 52(2), 2011, pp. 297-304 [[http://dx.doi.org/10.1007/s13366-011-0041-y|doi]], [[http://arxiv.org/abs/0905.2054|arxiv:0905.2054]] |
- Sandra Di Rocco, [[http://ehrhart.math.fu-berlin.de/people/haase/|Christian Haase]], [[http://www.math.uga.edu/~bnill/|Benjamin Nill]] and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]], Polyhedral Adjunction Theory, to appear in: Algebra and Number Theory [[http://arxiv.org/abs/1105.2415|arXiv:1105.2415]] | - Sandra Di Rocco, [[https://www.mi.fu-berlin.de/math/groups/ag-diskret-algebra-geom/members/Professoren/christian_haase.html|Christian Haase]], [[http://www.math.uga.edu/~bnill/|Benjamin Nill]] and [[http://www.mathematik.tu-darmstadt.de/~paffenholz/|Andreas Paffenholz]], Polyhedral Adjunction Theory, to appear in: Algebra and Number Theory [[http://arxiv.org/abs/1105.2415|arXiv:1105.2415]] |
- Tristram Bogart, Christian Haase, Milena Hering, Benjamin Lorenz, Benjamin Nill, Andreas Paffenholz, Francisco Santos, and Hal Schenck, Few smooth d-polytopes with N lattice points, [[http://arxiv.org/abs/1010.3887|arXiv:1010.3887]] | - Tristram Bogart, Christian Haase, Milena Hering, Benjamin Lorenz, Benjamin Nill, Andreas Paffenholz, Francisco Santos, and Hal Schenck, Few smooth d-polytopes with N lattice points, [[http://arxiv.org/abs/1010.3887|arXiv:1010.3887]] |
- Richard Bödi, [[http://www3.mathematik.tu-darmstadt.de/hp/optimierung/herr-katrin/|Katrin Herr]], and [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]], Algorithms for Highly Symmetric Linear and Integer Programs, [[http://arxiv.org/abs/1012.4941|arXiv:1012.4941]] | - Richard Bödi, [[http://www3.mathematik.tu-darmstadt.de/hp/optimierung/herr-katrin/|Katrin Herr]], and [[https://page.math.tu-berlin.de/~joswig/|Michael Joswig]], Algorithms for Highly Symmetric Linear and Integer Programs, [[http://arxiv.org/abs/1012.4941|arXiv:1012.4941]] |
- [[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, extended abstract, Proceedings of FPSAC 2012, DMTCS, pp. 421-432 | - [[http://www.math.fu-berlin.de/groups/grouptheory/members/baumeister.html|Barbara Baumeister]], [[https://www.mi.fu-berlin.de/math/groups/ag-diskret-algebra-geom/members/Professoren/christian_haase.html|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, extended abstract, Proceedings of FPSAC 2012, DMTCS, pp. 421-432 |
- [[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]], [[https://www.mi.fu-berlin.de/math/groups/ag-diskret-algebra-geom/members/Professoren/christian_haase.html|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]] |
- [[https://page.math.tu-berlin.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]] | - [[https://page.math.tu-berlin.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, Ars Math. Cont., 7(1), 2014, pp. 30-38 | - [[http://www.math.fu-berlin.de/groups/grouptheory/members/baumeister.html|Barbara Baumeister]], [[https://www.mi.fu-berlin.de/math/groups/ag-diskret-algebra-geom/members/Professoren/christian_haase.html|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, [[https://page.math.tu-berlin.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, [[https://page.math.tu-berlin.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]] |