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Polytopes
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#	Item
51	12, 24 AND BEYOND: FROM COMBINATORICS TO SYMPLECTIC GEOMETRY AND BACK SILVIA SABATINI Reflexive polytopes were introduced by Batyrev [Bat] to construct possible pairs of mirror duals. Since their introduction, there has Add to Reading List Source URL: www.uantwerpen.be Language: English - Date: 2016-06-01 13:54:21
52	Explicit constructions of centrally symmetric k-neighborly polytopes and large strictly antipodal sets Alexander Barvinok ∗ Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2012-04-19 13:31:46 Polyhedral combinatorics Polytopes Neighborly polytope Moment curve Cyclic polytope Abstract polytope
53	CENTRALLY SYMMETRIC POLYTOPES WITH MANY FACES Alexander Barvinok, Seung Jin Lee, and Isabella Novik November 2011 Abstract. We present explicit constructions of centrally symmetric polytopes with many faces: (1) we cons Add to Reading List Source URL: www.math.washington.edu Language: English - Date: 2011-11-18 00:01:02
54	COMPUTING THE EHRHART QUASI-POLYNOMIAL OF A RATIONAL SIMPLEX Alexander Barvinok April 2005 We present a polynomial time algorithm to compute any fixed number of the highest Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2005-04-28 13:33:02 Algebra Mathematics Abstract algebra Polytopes Lie groups Lie algebras Algebraic geometry Ehrhart polynomial Valuation Lattice Distribution Weight
55	THE COMPUTATIONAL COMPLEXITY OF CONVEX BODIES Alexander Barvinok and Ellen Veomett October 2006 Abstract. We discuss how well a given convex body B in a real d-dimensional vector space V can be approximated by a set X f Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2006-10-10 09:53:29 Geometry Mathematics Space Polytopes Operations research Convex analysis Real algebraic geometry Linear algebra Simplex Linear programming Mathematical optimization Convex hull
56	MAXIMUM ENTROPY GAUSSIAN APPROXIMATIONS FOR THE NUMBER OF INTEGER POINTS AND VOLUMES OF POLYTOPES Alexander Barvinok and J.A. Hartigan January 2010 Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2010-01-19 13:40:01 Statistics Mathematical analysis Probability Probability distributions Information theory Randomness Infinitely divisible probability distributions Normal distribution Central limit theorem Entropy Geometric distribution Expected value
57	Discrete Comput Geom 21:557–Discrete & Computational Geometry Add to Reading List Source URL: www.maths.lse.ac.uk Language: English Polytopes Expansion Simplex Face Cyclic polytope Abstract polytope Regular polytope
58	Unique Minimal Liftings for Simplicial Polytopes Amitabh Basu∗ G´erard Cornu´ejols† Matthias K¨oppe‡ Add to Reading List Source URL: www.ams.jhu.edu Language: English - Date: 2011-09-29 14:39:00
59	CENTRALLY SYMMETRIC POLYTOPES WITH MANY FACES Alexander Barvinok, Seung Jin Lee, and Isabella Novik November 2011 Abstract. We present explicit constructions of centrally symmetric polytopes with many faces: (1) we cons Add to Reading List Source URL: www.math.lsa.umich.edu Language: English - Date: 2011-11-18 11:46:14 Geometry Mathematics Space Polytopes Polyhedral combinatorics Elementary geometry Neighborly polytope Cyclic polytope Face Cross-polytope Edge Ehrhart polynomial
60	arXiv:1210.4694v2 [cs.DM] 5 Apr 2014 Add to Reading List Source URL: www.maths.lse.ac.uk Language: English - Date: 2014-12-05 13:17:13 Polytopes Game theory LemkeHowson algorithm Matching Simplex