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arXiv · 2603.14043

On licci squarefree monomial ideals

Om Prakash Bhardwaj·Trung Chau·Omkar Javadekar
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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, $t$-path ideals of cycles, and $(t-1)$-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.

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Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar. 2026-03-14. On licci squarefree monomial ideals. https://arxiv.org/abs/2603.14043

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