English

On licci squarefree monomial ideals

Commutative Algebra 2026-03-17 v1

Abstract

We study the licci property for several classes of squarefree monomial ideals arising from graphs and related combinatorial structures. We characterize licci bi-Cohen-Macaulay squarefree monomial ideals, complementary edge ideals, tt-path ideals of cycles, and (t1)(t-1)-suspensions of graphs. Consequently, the full list of licci path ideals of trees is obtained. This work extends the known classification of licci edge ideals to a broader family of path ideals.

Keywords

Cite

@article{arxiv.2603.14043,
  title  = {On licci squarefree monomial ideals},
  author = {Om Prakash Bhardwaj and Trung Chau and Omkar Javadekar},
  journal= {arXiv preprint arXiv:2603.14043},
  year   = {2026}
}

Comments

15 pages

R2 v1 2026-07-01T11:20:13.637Z