Edge ideals of some edge-weighted graphs
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909061100863488 |
|---|---|
| author | Zhu, Guangjun Duan, Shiya Cui, Yijun Li, Jiaxin |
| author_facet | Zhu, Guangjun Duan, Shiya Cui, Yijun Li, Jiaxin |
| contents | This paper presents exact formulas for the regularity and depth of powers of edge ideals of an edge-weighted star graph. Additionally, we provide exact formulas for the regularity of powers of the edge ideal of an edge-weighted integrally closed path, as well as lower bounds on the depth of powers of such an edge ideal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_02111 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Edge ideals of some edge-weighted graphs Zhu, Guangjun Duan, Shiya Cui, Yijun Li, Jiaxin Commutative Algebra Primary 13F20, 13C15, 05C22, Secondary 05E40 This paper presents exact formulas for the regularity and depth of powers of edge ideals of an edge-weighted star graph. Additionally, we provide exact formulas for the regularity of powers of the edge ideal of an edge-weighted integrally closed path, as well as lower bounds on the depth of powers of such an edge ideal. |
| title | Edge ideals of some edge-weighted graphs |
| topic | Commutative Algebra Primary 13F20, 13C15, 05C22, Secondary 05E40 |
| url | https://arxiv.org/abs/2401.02111 |