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publications [2019/01/29 21:46] – external edit 127.0.0.1publications [2019/03/14 17:06] – eble
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 ===== Papers about polymake ===== ===== Papers about polymake =====
  
-  - [[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)]] +  - 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. +  - 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 [[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]]. +  - 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]]. 
-  - [[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]] +  - [[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]], [[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]] +  - 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]], [[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]], [[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]] 
-  - [[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]]+  - [[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 =====
  
-  - [[http://www.mathematik.tu-darmstadt.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)]]  
-  - [[http://www.mathematik.tu-darmstadt.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)]]  
-  - [[http://www.mathematik.tu-darmstadt.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)]]  
-  - [[http://www.mathematik.tu-darmstadt.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://www.mathematik.tu-darmstadt.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. 
-  - [[http://www.mathematik.tu-darmstadt.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]] 
   - Steffen Schön and [[http://www.gih.uni-hannover.de/index.php?option=com_content&task=view&id=72&Itemid=211|Hansjörg Kutterer]]. Using zonotopes for overestimation-free interval least-squares---some geodetic applications. (English summary) Reliab. Comput. 11 (2005), no. 2, 137--155. [[http://www.ams.org/mathscinet-getitem?mr=2147804|MR2147804 (2006c:65049)]]    - Steffen Schön and [[http://www.gih.uni-hannover.de/index.php?option=com_content&task=view&id=72&Itemid=211|Hansjörg Kutterer]]. Using zonotopes for overestimation-free interval least-squares---some geodetic applications. (English summary) Reliab. Comput. 11 (2005), no. 2, 137--155. [[http://www.ams.org/mathscinet-getitem?mr=2147804|MR2147804 (2006c:65049)]] 
   - [[http://math.berkeley.edu/~phuggins/|Peter Huggins]], [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], [[http://math.berkeley.edu/~jyu/|Josephine Yu]], and [[http://math.berkeley.edu/~yuster/|Debbie Yuster]]. The Hyperdeterminant and Triangulations of the 4-Cube, Math. Comp. 77 (2008), no. 263, 1653--1679. [[http://www.ams.org/journals/mcom/2008-77-263/S0025-5718-08-02073-5/S0025-5718-08-02073-5.pdf|MR2398786]]    - [[http://math.berkeley.edu/~phuggins/|Peter Huggins]], [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], [[http://math.berkeley.edu/~jyu/|Josephine Yu]], and [[http://math.berkeley.edu/~yuster/|Debbie Yuster]]. The Hyperdeterminant and Triangulations of the 4-Cube, Math. Comp. 77 (2008), no. 263, 1653--1679. [[http://www.ams.org/journals/mcom/2008-77-263/S0025-5718-08-02073-5/S0025-5718-08-02073-5.pdf|MR2398786]] 
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   - [[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)]] 
-  - [[http://www.mathematik.tu-darmstadt.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]] 
-  - [[http://www.mathematik.tu-darmstadt.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.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]]  +  - [[https://page.math.tu-berlin.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://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://svenherrmann.net/math/|Sven Herrmann]] and [[https://page.math.tu-berlin.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://math.sfsu.edu/beck/|Matthias Beck]], [[http://ehrhart.math.fu-berlin.de/people/haase/|Christian Haase]] and Steven V. Sam. Grid graphs, Gorenstein polytopes and domino stackings,  Graphs Combin.  25  (2009),  no. 4, 409--426. [[http://www.springerlink.com/content/f64k130818000122/fulltext.pdf|MR2575592]] +  - [[http://math.sfsu.edu/beck/|Matthias Beck]], [[https://www.mi.fu-berlin.de/math/groups/ag-diskret-algebra-geom/members/Professoren/christian_haase.html|Christian Haase]] and Steven V. Sam. Grid graphs, Gorenstein polytopes and domino stackings,  Graphs Combin.  25  (2009),  no. 4, 409--426. [[http://www.springerlink.com/content/f64k130818000122/fulltext.pdf|MR2575592]] 
   - [[http://www.mathematik.uni-tuebingen.de/~batyrev/|Victor Batyrev]] and [[http://www.mathematik.uni-tuebingen.de/~nill/nill.html|Benjamin Nill]]. Multiples of lattice polytopes without interior lattice points. Moscow Math. J. 7 (2007), 195-207.    - [[http://www.mathematik.uni-tuebingen.de/~batyrev/|Victor Batyrev]] and [[http://www.mathematik.uni-tuebingen.de/~nill/nill.html|Benjamin Nill]]. Multiples of lattice polytopes without interior lattice points. Moscow Math. J. 7 (2007), 195-207. 
-  - [[http://fm-eth.ethz.ch/eth/peoplefinder/FMPro?-db=whoiswho.fp5&-format=who_detail_de.html&-lay=html&-recid=36216&-findall=|Niko Beerenwinkel]], [[http://math.berkeley.edu/~lpachter/|Lior Pachter]], and [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], Epistasis and Shapes of Fitness Landscapes,  Statist. Sinica  17  (2007),  no. 4, 1317--1342. [[http://www3.stat.sinica.edu.tw/statistica/oldpdf/A17n43.pdf|MR2398598]]  +  - [[https://www.bsse.ethz.ch/cbg/group/people/person-detail.MTQ5NDE3.TGlzdC81MTYsOTQ0ODM3Mzc2.html|Niko Beerenwinkel]], [[http://math.berkeley.edu/~lpachter/|Lior Pachter]], and [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], Epistasis and Shapes of Fitness Landscapes,  Statist. Sinica  17  (2007),  no. 4, 1317--1342. [[http://www3.stat.sinica.edu.tw/statistica/oldpdf/A17n43.pdf|MR2398598]]  
-  - [[http://www.math.tamu.edu/directory/formalpg.php?user=nisiabu|Weronika Buczynska]] and [[http://www.mimuw.edu.pl/~jarekw/|Jaroslav Wisniewski]]. On the geometry of binary symmetric models of phylogenetic trees, J. European Math. Soc. 9 (2007), 609-635 [[http://arxiv.org/abs/math/0601357|arXiv:math/0601357]], [[http://www.ams.org/mathscinet-getitem?mr=2314109|MR2314109]] +  - [[https://www.mimuw.edu.pl/osoba/1215|Weronika Buczynska]] and [[http://www.mimuw.edu.pl/~jarekw/|Jaroslav Wisniewski]]. On the geometry of binary symmetric models of phylogenetic trees, J. European Math. Soc. 9 (2007), 609-635 [[http://arxiv.org/abs/math/0601357|arXiv:math/0601357]], [[http://www.ams.org/mathscinet-getitem?mr=2314109|MR2314109]] 
   - [[http://math.stanford.edu/~jason/|Jason Morton]], [[http://math.berkeley.edu/~lpachter/|Lior Pachter]], [[http://math.berkeley.edu/~annejls/|Anne Shiu]], [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], and [[http://www.mathematik.uni-kl.de/~wienand/de/|Oliver Wienand]]. Geometry of rank tests. Preprint [[http://arxiv.org/abs/math/0605173|arXiv:math/0605173v2]]    - [[http://math.stanford.edu/~jason/|Jason Morton]], [[http://math.berkeley.edu/~lpachter/|Lior Pachter]], [[http://math.berkeley.edu/~annejls/|Anne Shiu]], [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], and [[http://www.mathematik.uni-kl.de/~wienand/de/|Oliver Wienand]]. Geometry of rank tests. Preprint [[http://arxiv.org/abs/math/0605173|arXiv:math/0605173v2]] 
   - [[http://math.gmu.edu/~geir/|Geir Agnarsson]] and  [[http://math.gmu.edu/~wmorris/|Walter Morris]]. On Minkowski Sums of  Simplices, Ann. Comb.  13  (2009),  no. 3, 271--287. [[http://www.springerlink.com/content/225054814t43627q/fulltext.pdf|MR2557038]]    - [[http://math.gmu.edu/~geir/|Geir Agnarsson]] and  [[http://math.gmu.edu/~wmorris/|Walter Morris]]. On Minkowski Sums of  Simplices, Ann. Comb.  13  (2009),  no. 3, 271--287. [[http://www.springerlink.com/content/225054814t43627q/fulltext.pdf|MR2557038]] 
-  - [[http://ehrhart.math.fu-berlin.de/people/haase/|Christian Haase]] and [[http://www.mathematik.tu-darmstadt.de/~paffenholz//|Andreas Paffenholz]]. Groebner Bases for Transportation Polytopes. Preprint [[http://arxiv.org/abs/math/0607194|arXiv:math/0607194v1]] +  - [[https://www.mi.fu-berlin.de/math/groups/ag-diskret-algebra-geom/members/Professoren/christian_haase.html|Christian Haase]] and [[http://www.mathematik.tu-darmstadt.de/~paffenholz//|Andreas Paffenholz]]. Groebner Bases for Transportation Polytopes. Preprint [[http://arxiv.org/abs/math/0607194|arXiv:math/0607194v1]] 
   - [[http://www.math.uni-magdeburg.de/~hemmecke/|Raymond Hemmecke]], [[http://math.stanford.edu/~jason/|Jason Morton]], [[http://math.berkeley.edu/~annejls/|Anne Shiu]], [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], and [[http://www.mathematik.uni-kl.de/~wienand/de/|Oliver Wienand]]. Three Counterexamples on Semigraphoids. Preprint [[http://arxiv.org/abs/math/0610451|arXiv:math/0610451v1]]    - [[http://www.math.uni-magdeburg.de/~hemmecke/|Raymond Hemmecke]], [[http://math.stanford.edu/~jason/|Jason Morton]], [[http://math.berkeley.edu/~annejls/|Anne Shiu]], [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], and [[http://www.mathematik.uni-kl.de/~wienand/de/|Oliver Wienand]]. Three Counterexamples on Semigraphoids. Preprint [[http://arxiv.org/abs/math/0610451|arXiv:math/0610451v1]] 
   - [[http://www.math.uga.edu/~rusinko/|Joe Rusinko]]. Equivalence of Mirror Families Constructed from Toric Degenerations of Flag Varieties,  Transform. Groups  13  (2008),  no. 1, 173--194. [[http://www.springerlink.com/content/7800x46v30w93842/fulltext.pdf|MR2421321]]    - [[http://www.math.uga.edu/~rusinko/|Joe Rusinko]]. Equivalence of Mirror Families Constructed from Toric Degenerations of Flag Varieties,  Transform. Groups  13  (2008),  no. 1, 173--194. [[http://www.springerlink.com/content/7800x46v30w93842/fulltext.pdf|MR2421321]] 
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   - Frederick A. Matsen, [[http://www.stat.berkeley.edu/~mossel/|Elchanan Mossel]] and [[http://www.math.canterbury.ac.nz/~m.steel/|Mike Steel]], Mixed-up trees: the structure of phylogenetic mixtures,  Bull. Math. Biol.  70 (2008),  no. 4, 1115--1139. [[http://www.springerlink.com/content/41n20262572q1140/fulltext.pdf|MR2391182]]    - Frederick A. Matsen, [[http://www.stat.berkeley.edu/~mossel/|Elchanan Mossel]] and [[http://www.math.canterbury.ac.nz/~m.steel/|Mike Steel]], Mixed-up trees: the structure of phylogenetic mixtures,  Bull. Math. Biol.  70 (2008),  no. 4, 1115--1139. [[http://www.springerlink.com/content/41n20262572q1140/fulltext.pdf|MR2391182]] 
   - [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]] and [[http://math.berkeley.edu/~jyu/|Josephine Yu]]. Tropical Implicitization and Mixed Fiber Polytopes,  Software for algebraic geometry,  111--131, IMA Vol. Math. Appl., 148, Springer, New York, 2008. Only available as a preprint: [[http://arxiv.org/abs/0706.0564|arXiv:0706.0564v1]]    - [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]] and [[http://math.berkeley.edu/~jyu/|Josephine Yu]]. Tropical Implicitization and Mixed Fiber Polytopes,  Software for algebraic geometry,  111--131, IMA Vol. Math. Appl., 148, Springer, New York, 2008. Only available as a preprint: [[http://arxiv.org/abs/0706.0564|arXiv:0706.0564v1]] 
-  - [[http://www.mathematik.tu-darmstadt.de/~joswig|Michael Joswig]], [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], and [[http://math.berkeley.edu/~jyu/|Josephine Yu]]. Affine Buildings and Tropical Convexity,  Albanian J. Math.  1  (2007),  no. 4, 187--211 . Only available as a preprint: [[http://arxiv.org/abs/0706.1918|arXiv:0706.1918v1]] +  - [[http://www.mathttps://page.math.tu-berlin.de/~joswig/|Michael Joswig]], [[http://math.berkeley.edu/~bernd/|Bernd Sturmfels]], and [[http://math.berkeley.edu/~jyu/|Josephine Yu]]. Affine Buildings and Tropical Convexity,  Albanian J. Math.  1  (2007),  no. 4, 187--211 . Only available as a preprint: [[http://arxiv.org/abs/0706.1918|arXiv:0706.1918v1]] 
   - [[http://www-math.mit.edu/~apost/|Alexander Postnikov]], [[http://www-math.mit.edu/~speyer/|David Speyer]], and [[http://www.math.harvard.edu/~lauren/|Lauren Williams]]. Matching polytopes, toric geometry, and the non-negative part of the Grassmannian. Preprint [[http://arxiv.org/abs/0706.2501|arXiv:0706.2501v2]]    - [[http://www-math.mit.edu/~apost/|Alexander Postnikov]], [[http://www-math.mit.edu/~speyer/|David Speyer]], and [[http://www.math.harvard.edu/~lauren/|Lauren Williams]]. Matching polytopes, toric geometry, and the non-negative part of the Grassmannian. Preprint [[http://arxiv.org/abs/0706.2501|arXiv:0706.2501v2]] 
   - [[http://faculty.tnstate.edu/sforcey/|Stefan Forcey]]. Convex Hull Realizations of the Multiplihedra,  Topology Appl.  156  (2008), no. 2, 326--347. [[http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V1K-4T719P5-2-3&_cdi=5677&_user=2415276&_pii=S0166864108002691&_orig=search&_coverDate=12%2F01%2F2008&_sk=998439997&view=c&wchp=dGLzVzz-zSkWA&md5=5a0325a32d9a7638ab47356fdc5c8eff&ie=/sdarticle.pdf|MR2475119]]    - [[http://faculty.tnstate.edu/sforcey/|Stefan Forcey]]. Convex Hull Realizations of the Multiplihedra,  Topology Appl.  156  (2008), no. 2, 326--347. [[http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6V1K-4T719P5-2-3&_cdi=5677&_user=2415276&_pii=S0166864108002691&_orig=search&_coverDate=12%2F01%2F2008&_sk=998439997&view=c&wchp=dGLzVzz-zSkWA&md5=5a0325a32d9a7638ab47356fdc5c8eff&ie=/sdarticle.pdf|MR2475119]] 
-  - [[http://www.math.tu-berlin.de/~witte|Nikolaus Witte]]. Constructing Combinatorial 4-Manifolds. Preprint [[http://arxiv.org/abs/0707.1415|arXiv:0707.1415v1]]  +  - Nikolaus Witte. Constructing Combinatorial 4-Manifolds. Preprint [[http://arxiv.org/abs/0707.1415|arXiv:0707.1415v1]]  
-  - [[http://www.math.tu-berlin.de/~witte|Nikolaus Witte]]. Constructing Simplicial Branched Covers,  Adv. Geom.  9  (2009),  no. 3, 437--456. [[http://www.reference-global.com/doi/pdf/10.1515/ADVGEOM.2009.022|MR2537028]]  +  - Nikolaus Witte. Constructing Simplicial Branched Covers,  Adv. Geom.  9  (2009),  no. 3, 437--456. [[http://www.reference-global.com/doi/pdf/10.1515/ADVGEOM.2009.022|MR2537028]]  
-  - [[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]]. On permutation polytopes,  Adv. Math.  222  (2009), no. 2, 431--452. [[http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6W9F-4WB37CR-2-1&_cdi=6681&_user=2415276&_pii=S0001870809001418&_orig=search&_coverDate=10%2F01%2F2009&_sk=997779997&view=c&wchp=dGLbVtz-zSkzV&md5=c5dfc4447b89c73fc60f0808e82a865d&ie=/sdarticle.pdf|MR2538016]]  +  - [[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]]. On permutation polytopes,  Adv. Math.  222  (2009), no. 2, 431--452. [[http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6W9F-4WB37CR-2-1&_cdi=6681&_user=2415276&_pii=S0001870809001418&_orig=search&_coverDate=10%2F01%2F2009&_sk=997779997&view=c&wchp=dGLbVtz-zSkzV&md5=c5dfc4447b89c73fc60f0808e82a865d&ie=/sdarticle.pdf|MR2538016]]  
   - [[http://www.math.ucdavis.edu/~deloera/|Jesús A. De Loera]], [[http://www.math.ucdavis.edu/~ekim/|Edward D. Kim]], [[http://ie.technion.ac.il/~onn/|Shmuel Onn]], and [[http://personales.unican.es/santosf/|Francisco Santos]]. Graphs of Transportation Polytopes,  J. Combin. Theory Ser. A  116  (2009), no. 8, 1306--1325. [[http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WHS-4W5M06D-1-1&_cdi=6858&_user=2415276&_pii=S0097316509000533&_orig=search&_coverDate=11%2F30%2F2009&_sk=998839991&view=c&wchp=dGLbVlz-zSkWA&md5=39e5ca2cb05599cb07321c567e71901a&ie=/sdarticle.pdf|MR2568801]]    - [[http://www.math.ucdavis.edu/~deloera/|Jesús A. De Loera]], [[http://www.math.ucdavis.edu/~ekim/|Edward D. Kim]], [[http://ie.technion.ac.il/~onn/|Shmuel Onn]], and [[http://personales.unican.es/santosf/|Francisco Santos]]. Graphs of Transportation Polytopes,  J. Combin. Theory Ser. A  116  (2009), no. 8, 1306--1325. [[http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6WHS-4W5M06D-1-1&_cdi=6858&_user=2415276&_pii=S0097316509000533&_orig=search&_coverDate=11%2F30%2F2009&_sk=998839991&view=c&wchp=dGLbVlz-zSkWA&md5=39e5ca2cb05599cb07321c567e71901a&ie=/sdarticle.pdf|MR2568801]] 
-  - [[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]] 
   - [[http://www2.informatik.hu-berlin.de/~eickmeye/|Kord Eickmeyer]], [[http://math.berkeley.edu/~phuggins/|Peter Huggins]], [[http://math.berkeley.edu/~lpachter/|Lior Pachter]], and [[http://web.as.uky.edu/statistics/people/faculty/ruriko.php|Ruriko Yoshida]]. On the optimality of the neighbor-joining algorithm. Preprint [[http://arxiv.org/abs/0710.5142|arXiv:0710.5142v1]]    - [[http://www2.informatik.hu-berlin.de/~eickmeye/|Kord Eickmeyer]], [[http://math.berkeley.edu/~phuggins/|Peter Huggins]], [[http://math.berkeley.edu/~lpachter/|Lior Pachter]], and [[http://web.as.uky.edu/statistics/people/faculty/ruriko.php|Ruriko Yoshida]]. On the optimality of the neighbor-joining algorithm. Preprint [[http://arxiv.org/abs/0710.5142|arXiv:0710.5142v1]] 
   - [[http://www.opt.tu-darmstadt.de/mitarbeiter/schewe.php|Lars Schewe]]. Non-Realizable Minimal Vertex Triangulations of Surfaces: Showing Non-Realizability using Oriented Matroids and Satisfiability Solvers. Preprint [[http://arxiv.org/abs/0801.2582|arXiv:0801.2582v1]]    - [[http://www.opt.tu-darmstadt.de/mitarbeiter/schewe.php|Lars Schewe]]. Non-Realizable Minimal Vertex Triangulations of Surfaces: Showing Non-Realizability using Oriented Matroids and Satisfiability Solvers. Preprint [[http://arxiv.org/abs/0801.2582|arXiv:0801.2582v1]] 
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   - [[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://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://svenherrmann.net/math/|Sven Herrmann]] and [[https://page.math.tu-berlin.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://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://svenherrmann.net/math/|Sven Herrmann]], [[http://www.math.tu-berlin.de/numerik/mt/jensen_de.html|Anders Jensen]], [[https://page.math.tu-berlin.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]] 
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   - [[http://personales.unican.es/santosf/|Francisco Santos]]. A counter-example to the Hirsch conjecture (2010) Preprint [[http://arxiv.org/pdf/1006.2814|arXiv:1006.2814]]    - [[http://personales.unican.es/santosf/|Francisco Santos]]. A counter-example to the Hirsch conjecture (2010) Preprint [[http://arxiv.org/pdf/1006.2814|arXiv:1006.2814]] 
   - [[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 [[http://www.mathematik.tu-darmstadt.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]]  
-  -  [[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]]  +  -  [[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, [[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, [[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]]
   - 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.    - 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. 
  • publications.txt
  • Last modified: 2020/01/22 14:41
  • by lkastner