Licci Property of Complementary Edge Ideals
Commutative Algebra
2026-03-18 v1
Abstract
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.
Cite
@article{arxiv.2603.16193,
title = {Licci Property of Complementary Edge Ideals},
author = {Vivek Bhabani Lama},
journal= {arXiv preprint arXiv:2603.16193},
year = {2026}
}
Comments
9 Pages. Comments and suggestions are welcome