On the closed neighborhood ideal of the square of the path graph
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915820920111104 |
|---|---|
| author | Olteanu, Anda Olteanu, Oana |
| author_facet | Olteanu, Anda Olteanu, Oana |
| contents | We consider the closed neighborhood ideal of square of the path graph and study some of its algebraic and homological invariants. We compute the height, the projective dimension and the Castelnuovo-Mumford regularity. We prove that these ideals are sequentially Cohen-Macaulay and characterize when they are Cohen-Macaulay. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14163 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the closed neighborhood ideal of the square of the path graph Olteanu, Anda Olteanu, Oana Commutative Algebra Combinatorics Primary 13D05 Secondary 13F55 We consider the closed neighborhood ideal of square of the path graph and study some of its algebraic and homological invariants. We compute the height, the projective dimension and the Castelnuovo-Mumford regularity. We prove that these ideals are sequentially Cohen-Macaulay and characterize when they are Cohen-Macaulay. |
| title | On the closed neighborhood ideal of the square of the path graph |
| topic | Commutative Algebra Combinatorics Primary 13D05 Secondary 13F55 |
| url | https://arxiv.org/abs/2602.14163 |