5 papers
Bounds on polarization problems on compact sets via mixed integer programming
Jan Rolfes, Robert Schüler, Marc Christian Zimmermann
Finding point configurations, that yield the maximum polarization (Chebyshev constant) is gaining interest in the field of geometric optimization. In the present article, we study…
Sailing League Problems
Robert Schüler, Achill Schürmann
We describe a class of combinatorial design problems which typically occur in professional sailing league competitions. We discuss connections to resolvable block designs and equit…
Formal self duality
Lukas Kölsch, Robert Schüler
We study the notion of formal self duality in finite abelian groups. Formal duality in finite abelian groups has been proposed by Cohn, Kumar, Reiher and Schürmann. In this paper w…
-vectors of -polytopes symmetric under rotations and rotary reflections
Maren H. Ring, Robert Schüler
The -vector of a polytope consists of the numbers of its -dimensional faces. An open field of study is the characterization of all possible -vectors. It has been solved in…
Formal Duality in Finite Abelian Groups
Shuxing Li, Alexander Pott, Robert Schüler
Inspired by an experimental study of energy-minimizing periodic configurations in Euclidean space, Cohn, Kumar and Schürmann proposed the concept of formal duality between a pair o…