3 papers
math.CO2026
Boolean building set arrangements
Leonie Mühlherr, Sven Wiesner
In this article, we generalize the notion of connected subgraph arrangements, established by Cuntz and Kühne by allowing edges of cardinality greater than two, with a focus on loca…
math.CO2026
Hamiltonicity of graphs of acyclic orientations and acyclic polynomials
Leonie Mühlherr, Germain Poullot
We study the graph of acyclic orientations of a graph . Two acyclic orientations are adjacent in this graph if they disagree on the orientation of a single arc…
math.CO2023
Projective dimension of weakly chordal graphic arrangements
Takuro Abe, Lukas Kühne, Paul Mücksch +1
A graphic arrangement is a subarrangement of the braid arrangement whose set of hyperplanes is determined by an undirected graph. A classical result due to Stanley, Edelman and Rei…