The centers of gravity of the associahedron and of the permutahedron are the same.
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Hohlweg, Christophe, Lortie, Jonathan, Raymond, Annie (2010)
The Electronic Journal of Combinatorics [electronic only]
Edmonds, Allan L. (2009)
Beiträge zur Algebra und Geometrie
Julie Christophe, Jean-Paul Doignon (2007)
RAIRO - Operations Research
The m-subspace polytope is defined as the convex hull of the characteristic vectors of all m-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 m-subspace polytope that we consider shows a much more involved structure, notably as regards facets. Nevertheless, several families of facets are established here. Then the...
Dutour Sikirić, Mathieu, Myrvold, Wendy (2008)
Beiträge zur Algebra und Geometrie
Burgiel, H., Reiner, V. (1998)
The New York Journal of Mathematics [electronic only]
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