Linear strands of powers of certain binomial edge ideals
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912827464220672 |
|---|---|
| author | Dohadwala, Abbas Flores-Silva, Bryan Orozco-Moya, Alicia Siegelnickel, Zoe |
| author_facet | Dohadwala, Abbas Flores-Silva, Bryan Orozco-Moya, Alicia Siegelnickel, Zoe |
| contents | We provide a closed formula for the graded Betti numbers in the linear strands of all powers of binomial edge ideals $J_G$ arising from closed graphs $G$ that do not have the complete graph $K_4$ as an induced subgraph. We show that these agree with the corresponding Betti numbers for the powers of the lexicographic initial ideal of $J_G$, thereby confirming a conjecture of Ene--Rinaldo--Terai in a special case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10842 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Linear strands of powers of certain binomial edge ideals Dohadwala, Abbas Flores-Silva, Bryan Orozco-Moya, Alicia Siegelnickel, Zoe Commutative Algebra Combinatorics We provide a closed formula for the graded Betti numbers in the linear strands of all powers of binomial edge ideals $J_G$ arising from closed graphs $G$ that do not have the complete graph $K_4$ as an induced subgraph. We show that these agree with the corresponding Betti numbers for the powers of the lexicographic initial ideal of $J_G$, thereby confirming a conjecture of Ene--Rinaldo--Terai in a special case. |
| title | Linear strands of powers of certain binomial edge ideals |
| topic | Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2601.10842 |