On Conjecture of Binomial Edge Ideals of Linear Type
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916718525284352 |
|---|---|
| author | Nambi, Marie Amalore Kumar, Neeraj |
| author_facet | Nambi, Marie Amalore Kumar, Neeraj |
| contents | An ideal $I$ of a commutative ring $R$ is said to be of linear type when its Rees algebra and symmetric algebra exhibit isomorphism. In this paper, we investigate the conjecture put forth by Jayanthan, Kumar, and Sarkar (2021) that if $G$ is a tree or a unicyclic graph, then the binomial edge ideal of $G$ is of linear type. Our investigation validates this conjecture for trees. However, our study reveals that not all unicyclic graphs adhere to this conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05960 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Conjecture of Binomial Edge Ideals of Linear Type Nambi, Marie Amalore Kumar, Neeraj Commutative Algebra Combinatorics 05E40, 13F65, 13F70 An ideal $I$ of a commutative ring $R$ is said to be of linear type when its Rees algebra and symmetric algebra exhibit isomorphism. In this paper, we investigate the conjecture put forth by Jayanthan, Kumar, and Sarkar (2021) that if $G$ is a tree or a unicyclic graph, then the binomial edge ideal of $G$ is of linear type. Our investigation validates this conjecture for trees. However, our study reveals that not all unicyclic graphs adhere to this conjecture. |
| title | On Conjecture of Binomial Edge Ideals of Linear Type |
| topic | Commutative Algebra Combinatorics 05E40, 13F65, 13F70 |
| url | https://arxiv.org/abs/2406.05960 |