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arXiv · 2507.08516

Depth of the 3-path Ideal of Square of a Path

Liuqing Yang·Lizhong Chu
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Abstract

In this note, we compute depth of the 3-path ideal of square of a path and show that the 3-path ideal I3(P 2 n) of square of a path graph is Cohen-Macaulay if and only if n = 3 or 4. Also, we consider the limit behavior of depth of powers of the 3-path ideal of square of a path.

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Liuqing Yang, Lizhong Chu. 2025-07-11. Depth of the 3-path Ideal of Square of a Path. https://arxiv.org/abs/2507.08516

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