arXiv Open Access 2026

On the closed neighborhood ideal of the square of the path graph

Anda Olteanu Oana Olteanu

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.AC math.CO

Penulis (2)

Anda Olteanu

Oana Olteanu

Format Sitasi

APA MLA BibTeX

Olteanu, A., Olteanu, O. (2026). On the closed neighborhood ideal of the square of the path graph. https://arxiv.org/abs/2602.14163

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2026
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓