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math.CO2026
Separating Geodesic Structure and Product Structure
Laura Merker, Lena Scherzer, Samuel Schneider
The geodesic treewidth of a graph is the smallest for which there is a partition into geodesics such that has treewidth , where $G/\mathc…
math.CO2025
Number of Edges in 3-Connected Graphs with Cyclic Neighborhoods
Samuel Schneider, Torsten Ueckerdt
Chernyshev, Rauch and Rautenbach [Discrete Math., 2025] introduce forest cuts, i.e., vertex separators that induce a forest. They conjecture that, similar to a result by Chen and Y…
math.CO2024
Intersection Graphs with and without Product Structure
Laura Merker, Lena Scherzer, Samuel Schneider +1
A graph class admits product structure if there exists a constant such that every is a subgraph of for a path and some gra…