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cs.DS2025
Algorithmic Problems in Categories of Partitions
Nicolas Faroß, Sebastian Volz
Categories of partitions are combinatorial structures arising from the representation theory of certain compact quantum groups and are linked to classical diagram algebras such as…
cs.SC2025
On the Number of Real Types of Univariate Polynomials
Nicolas Faroß, Thomas Sturm
The real type of a finite family of univariate polynomials characterizes the combined sign behavior of the polynomials over the real line. We derive an explicit formula for the num…