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 ===== Papers about polymake ===== ===== Papers about polymake =====
  
-  - [[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 =====
  
-  - [[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)]] +  - [[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)]] 
   - [[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)]] +  - [[http://www.math.tu-berlin.de/~schwartz/| 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]] 
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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)]] 
-  - [[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]] 
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   - [[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]], [[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://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]] 
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   - [[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]], [[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.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]] 
  • publications.txt
  • Last modified: 2020/01/22 14:41
  • by lkastner