Polytope pairs and their relationship to linear programming
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Publication:1218333
DOI10.1007/BF02392139zbMath0307.90042MaRDI QIDQ1218333
Publication date: 1974
Published in: Acta Mathematica (Search for Journal in Brave)
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Cites Work
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- Graph theorems for manifolds
- A comparison of primal and dual methods of linear programming
- On the number of certain types of polyhedra
- The \(d\)-step conjecture for polyhedra of dimension \(d<6\)
- Finding all vertices of a convex polyhedron
- The minimum number of vertices of a simple polytope
- On The Number of Faces of a Convex Polytope
- On the Number of Vertices of a Convex Polytope
- Historical Note on a Recurrent Combinatorial Problem
- Incidence graphs of convex polytopes
- An enumeration of simplicial 4-polytopes with 8 vertices
- Cooperative classes of finite sets in one and more dimensions
- Bounds assuring subsets in convex position
- The maximum numbers of faces of a convex polytope
- Algebraic Characterization of Some Classical Combinatorial Problems
- Shellable Decompositions of Cells and Spheres.
- An Algorithm for Determining Irrelevant Constraints and all Vertices in Systems of Linear Inequalities
- Diameters of Polyhedral Graphs