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High-Dimensional Centrally-Symmetric Polytopes With Neighborliness Proportional to Dimension
Centrosymmetric Polytopes Neighborly Polytopes
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2015/8/21
Let A be a d by n matrix, d < n. Let C be the regular cross polytope (octahedron) in
R
n
. It has recently been shown that properties of the centrosymmetric polytope P = AC are
of interest for ...
Polytopes from Subgraph Statistics
Polytopes Subgraph Statistics
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2010/11/22
We study polytopes that are convex hulls of vectors of subgraph densities. Many graph theoretical questions can be expressed in terms of these polytopes, and statisticians use them to understand expon...
Preprojective algebras and MV polytopes
Preprojective algebras MV polytopes
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2010/12/6
The purpose of this paper is to apply the theory of MV polytopes to the study of com-ponents of Lusztig’s nilpotent varieties. Along the way, we introduce reflection functors for modules over the non-...