We consider a problem of maximizing convex functionals over matroid bases. It is richly
expressive and captures certain quadratic assignment and clustering problems. While generally …

… As a consequence we find the zonotopes with a specified dimension and number of
zones which minimize or maximize the cd-index. Then we show that (L) has a convex ear …

… For the sake of simplicity, we have assumed that the center of zonotope Z w is a zero vector.
However, this method can be also applied for the case where the center of this zonotope is …

… a zonotope. The hyperplane chamber walks become walks on the vertices of the zonotope…
In this section we show how to analyze random walk on the vertices of a tiling of a zonotope. …

… Using a machinery of cubillages in cyclic zonotopes of odd dimensions, we generalize, to
an arbitrary odd r ≥ 1, two well-known results on weakly separated collections obtained in [LZ?…

… a zonotope X in order ϕ to obtain other one ↓ϕ X, but with the same center x. This new
zonotope … Given a desired order ϕ, the order reduction algorithm of a zonotope X is presented as …

… Using a generalization of the projective diagram of a zonotope, we obtain the decomposition
of the zonoidal surface into a set of convex regular patches. In the particular case of a" …

… zonotopes to describe the involved sets considering the balance between the computational
complexity and accuracy. We first introduce some definitions and properties of zonotopes …

… To achieve this, we conservatively abstract the original dynamics by a polynomial right-hand
side and represent sets by polynomial zonotopes [1]. Since polynomial zonotopes preserve …

… The permutahedron is a zonotope, ie a Minkowski sum of line segments: … Then Πσ n has
the following zonotope description: … What if Z is a rational translate of a lattice zonotope? …