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- [[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]] | - [[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]] |
- 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]] | - 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]] |
- 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)]] | - 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)]] | - [[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)]] |
- [[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.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]]; [[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.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://ehrhart.math.fu-berlin.de/people/haase/|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 [[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 [[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)]] |
- [[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]] |