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Laplacian polytopes of simplicial complexes
Martina Juhnke-Kubitzke, Daniel Köhne
Given a (finite) simplicial complex, we define its -th Laplacian polytope as the convex hull of the columns of its -th Laplacian matrix. This extends Laplacian simplices of f…
On the gamma-vector of symmetric edge polytopes
Alessio D'Alì, Martina Juhnke-Kubitzke, Daniel Köhne +1
We study -vectors associated with -vectors of symmetric edge polytopes both from a deterministic and a probabilistic point of view. On the deterministic side, we prove nonn…
Counting Horizontal Visibility Graphs
Martina Juhnke-Kubitzke, Daniel Köhne, Jonas Schmidt
Horizontal visibility graphs (HVGs, for short) are a common tool used in the analysis and classification of time series with applications in many scientific fields. In this article…