Explicit polyhedral approximation of the Euclidean ball

J. Frédéric Bonnans; Marc Lebelle

Displaying similar documents to “Explicit polyhedral approximation of the Euclidean ball”

Two signed associahedra.

Burgiel, H., Reiner, V. (1998)

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A quantitative Steinitz' theorem.

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Vertex-facet incidences of unbounded polyhedra.

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All Tight Descriptions of 3-Stars in 3-Polytopes with Girth 5

Oleg V. Borodin, Anna O. Ivanova (2017)

Discussiones Mathematicae Graph Theory

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Lebesgue (1940) proved that every 3-polytope P5 of girth 5 has a path of three vertices of degree 3. Madaras (2004) refined this by showing that every P5 has a 3-vertex with two 3-neighbors and the third neighbor of degree at most 4. This description of 3-stars in P5s is tight in the sense that no its parameter can be strengthened due to the dodecahedron combined with the existence of a P5 in which every 3-vertex has a 4-neighbor. We give another tight description of 3-stars in P5s:...

The Polytope of -Subspaces of a Finite Affine Space

Julie Christophe, Jean-Paul Doignon (2007)

RAIRO - Operations Research

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The -subspace polytope is defined as the convex hull of the characteristic vectors of all -dimensional subspaces of a finite affine space. The particular case of the hyperplane polytope has been investigated by Maurras (1993) and Anglada and Maurras (2003), who gave a complete characterization of the facets. The general -subspace polytope that we consider shows a much more involved structure, notably as regards facets. Nevertheless, several families of facets are established here....