… of Theorem 1, which allows us to construct the zonotope Z' explicitly as the solution of a linear
… Throughout the following we use some properties of zonoids and zonotopes without giving …

… the hybrid zonotope that contains both continuous and binary zonotope factors. It is shown
that the hybrid zonotope is equivalent to the union of 2N constrained zonotopes through the …

It is a classical fact that the number of vertices of the graphical zonotope $Z_\Gamma$ is
equal to the number of acyclic orientations of a graph $\Gamma$. We show that the $f$-…

We study geometric parameters associated with the Banach spaces ( R n ,‖·‖ k,q ) normed
by ‖x‖ k,q =(∑ 1⩽i⩽k |<x,a i >| ∗q ) 1/q , where {a i } i⩽N is a given sequence of N points …

We provide a polynomial time algorithm for computing the universal Gröbner basis of any
polynomial ideal having a finite set of common zeros in fixed number of variables. One …

Voronoĭ conjectured that every parallelotope is affinely equivalent to a Voronoĭ polytope.
For some m, a parallelotope is defined by a set of m facet vectors pi, and defines a set of m …

… Instead of using an SMT solver to reason over non-convex initial sets, we propose combining
Taylor models with polynomial zonotope refinement. A comparison on the same nonlinear …

… for a zonotope to be a space tiling zonotope, ie a zonotope which admits a face-to-face tiling
of space by translations. Implicitly, he related space tiling zonotopes to … for zonotopes using …

… complex zonotopes where the generator set can contain complex valued vectors. The
reason for considering complex zonotopes is that, as we demonstrate later, complex zonotopes …

… introduced constrained zonotopes [9]. Such sets are an extension of zonotopes, and
correspond to an alternative representation for convex polytopes. Unlike zonotopes, several …