| Autor: |
Ruimei Gao, Jingjing Qiang, Miao Zhang |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
AIMS Mathematics, Vol 8, Iss 2, Pp 3226-3235 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2023166https://www.aimspress.com/article/doi/10.3934/math.2023166 |
| Popis: |
The purpose of this paper is twofold. Firstly, we generalize the notion of semigeneric braid arrangement to semigeneric graphical arrangement. Secondly, we give a formula for the characteristic polynomial of the semigeneric graphical arrangement $ \mathcal{S}_G: = \{x_i- x_j = a_i: ij\in E(G), 1\leq i < j\leq n \} $, where $ a_i{\rm{'s}} $ are generic. The formula is obtained by characterizing central subarrangements of $ \mathcal{S}_{G} $ via the corresponding graph $ {G} $. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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