Author

Leonie Mühlherr

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Preprint Sep 2026

Boolean building set arrangements

In this article, we generalize the notion of connected subgraph arrangements, established by Cuntz and K\"uhne by allowing edges of cardinality greater than two, with a focus on local properties. We show that the class of free connected hypersubgraph arrangements is larger than the class of free connected subgraph arra...

Leonie Mühlherr, Sven Wiesner · 0 citations

Preprint Sep 2026

Hamiltonicity of graphs of acyclic orientations and acyclic polynomials

We study the graph $\mathcal{AO}(G)$ of acyclic orientations of a graph $G$. Two acyclic orientations are adjacent in this graph if they disagree on the orientation of a single arc. In particular, we focus on the Hamiltonicity of the graphs $\mathcal{AO}(G)$. Using two methods of pattern lacing which generalize the zig...

Leonie Mühlherr, Germain Poullot · 0 citations