514 citations
- Weierstrass Institute for Applied Analysis and StochasticsDE5 papers
- ETH ZurichCH3 papers
- Freie Universität BerlinDE3 papers
- Institute of PhysicsPL3 papers
- Lund UniversitySE3 papers
- University of SzczecinPL3 papers
- Berlin Mathematical SchoolDE2 papers
- Chemnitz University of TechnologyDE2 papers
- Fritz Haber Institute of the Max Planck SocietyDE2 papers
- Heidelberg UniversityDE2 papers
- Humboldt-Universität zu BerlinDE2 papers
- Max-Born-Institute for Nonlinear Optics and Short Pulse SpectroscopyDE2 papers
Showing 2003 · math.MGShow all
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math.MG2003★ 2 cited
Radii minimal projections of polytopes and constrained optimization of symmetric polynomials
Rene Brandenberg, Thorsten Theobald
We provide a characterization of the radii minimal projections of polytopes onto -dimensional subspaces in Euclidean space $\E^n$. Applied on simplices this characterization all…
math.MG2003
On the Monotone Upper Bound Problem
Julian Pfeifle, Günter M. Ziegler
The Monotone Upper Bound Problem asks for the maximal number M(d,n) of vertices on a strictly-increasing edge-path on a simple d-polytope with n facets. More specifically, it asks…
math.MG2003
Polynomial inequalities representing polyhedra
Hartwig Bosse, Martin Groetschel, Martin Henk
Our main result is that every n-dimensional polytope can be described by at most (2n-1) polynomial inequalities and, moreover, these polynomials can explicitly be constructed. For…