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A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope
Published 2015-03-01“…The present paper contains a sketch of the proof of an upper bound for the variance of the number of hyperfaces of a random polytope when the mother body is a simple polytope. …”
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A Uniform Asymptotical Upper Bound for the Variance of a Random Polytope in a Simple Polytope
Published 2012-01-01“…The present paper contains a sketch of the proof of an upper bound for the variance of the number of hyperfaces of a random polytope when the mother body is a simple polytope. …”
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43
Navigation with Polytopes: A Toolbox for Optimal Path Planning with Polytope Maps and B-spline Curves
Published 2023-03-01Subjects: Get full text
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On expected number of maximal points in polytopes
Published 2007-01-01Subjects: “…polytope…”
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On Relaxation Polytope of 3-satisfiability Problem
Published 2007-06-01“…The properties of a polytope associated with the 3-satisfiability problem are investigated. …”
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47
Some Properties of Metric Polytope Constraints
Published 2014-08-01“…The integrality recognition problem is considered on the sequence Mn,k of the nested Boolean quadric polytope relaxations, including the rooted semimetric Mn and the metric Mn,3 polytopes. …”
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Flag enumerations of matroid base polytopes
Published 2008-01-01Subjects: “…matroid base polytopes…”
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The brick polytope of a sorting network
Published 2011-01-01“…The associahedron is a polytope whose graph is the graph of flips on triangulations of a convex polygon. …”
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51
Constructing neighborly polytopes and oriented matroids
Published 2012-01-01Subjects: “…polytope…”
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Generalized associahedra via brick polytopes
Published 2012-01-01“…We generalize the brick polytope of V. Pilaud and F. Santos to spherical subword complexes for finite Coxeter groups. …”
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Confidence polytopes for quantum process tomography
Published 2021-01-01“…In the present work, we propose a generalization of the confidence polytopes approach for quantum state tomography (QST) to the case of quantum process tomography (QPT). …”
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54
Newton polytope of good symmetric polynomials
Published 2023-05-01“…We introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property. …”
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55
Certifying quantum separability with adaptive polytopes
Published 2024-03-01“…We propose a method to certify quantum separability of two- and multiparticle quantum systems based on an adaptive polytope approximation. This leads to an algorithm which, for practical purposes, conclusively recognises two-particle separability for small and medium-size dimensions. …”
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Flow polytopes and the Kostant partition function
Published 2012-01-01Subjects: Get full text
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57
Brick polytopes, lattices and Hopf algebras
Published 2020-04-01“…Moreover, it shows that the fan obtained by coarsening the Coxeter fan according to the classes of ≡k is the normal fan of the corresponding brick polytope…”
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COMPUTING VERTICES OF INTEGER PARTITION POLYTOPES
Published 2016-11-01“…The paper describes a method of generating vertices of the polytopes of integer partitions that was used by the authors to calculate all vertices and support vertices of the partition polytopes for all n ≤ 105 and all knapsack partitions of n ≤ 165. …”
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Perfect Prismatoids are Lattice Delaunay Polytopes
Published 2014-08-01“…The polytope D is a lattice Delaunay polytope if Λ∩int B = ∅ and D is a convex hull of Λ∩∂B. …”
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