Licci Property of Complementary Edge Ideals
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914401890598912 |
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| author | Lama, Vivek Bhabani |
| author_facet | Lama, Vivek Bhabani |
| contents | In this article, we characterize the class of complementary edge ideals which satisfy the licci property in terms of the underlying graph. Using this characterization, we associate the licci property of a complementary edge ideal to its other algebraic properties. Finally, we provide two different probability regimes for which the complementary edge ideals of random graphs are licci with high probability and not licci with high probability respectively. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16193 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Licci Property of Complementary Edge Ideals Lama, Vivek Bhabani Commutative Algebra 05E40, 13C05 In this article, we characterize the class of complementary edge ideals which satisfy the licci property in terms of the underlying graph. Using this characterization, we associate the licci property of a complementary edge ideal to its other algebraic properties. Finally, we provide two different probability regimes for which the complementary edge ideals of random graphs are licci with high probability and not licci with high probability respectively. |
| title | Licci Property of Complementary Edge Ideals |
| topic | Commutative Algebra 05E40, 13C05 |
| url | https://arxiv.org/abs/2603.16193 |