## Details

Original language | English |
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Number of pages | 22 |

Publication status | Accepted/In press - 16 Nov 2023 |

## Abstract

## Cite this

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**On arrangements of hyperplanes from connected subgraphs.**/ Cuntz, Michael; Kühne, Lukas.

2023.

Research output: Working paper/Preprint › Preprint

*On arrangements of hyperplanes from connected subgraphs*. https://arxiv.org/abs/2208.09251

}

TY - UNPB

T1 - On arrangements of hyperplanes from connected subgraphs

AU - Cuntz, Michael

AU - Kühne, Lukas

PY - 2023/11/16

Y1 - 2023/11/16

N2 - We investigate arrangements of hyperplanes whose normal vectors are given by connected subgraphs of a fixed graph. These include the resonance arrangement and certain ideal subarrangements of Weyl arrangements. We characterize those which are free, simplicial, factored, or supersolvable. In particular, such an arrangement is free if and only if the graph is a cycle, a path, an almost path, or a path with a triangle attached to it.

AB - We investigate arrangements of hyperplanes whose normal vectors are given by connected subgraphs of a fixed graph. These include the resonance arrangement and certain ideal subarrangements of Weyl arrangements. We characterize those which are free, simplicial, factored, or supersolvable. In particular, such an arrangement is free if and only if the graph is a cycle, a path, an almost path, or a path with a triangle attached to it.

M3 - Preprint

BT - On arrangements of hyperplanes from connected subgraphs

ER -