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arXiv · 2312.01613

Binomial Edge Ideals of Complements of Graphs of Girth at Least 5

David Williams
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Abstract

We calculate the local cohomology modules of the binomial edge ideals of the complements of graphs of girth at least 5 using the tools introduced by Àlvarez Montaner in arXiv:1901.08645. We then use this calculation to compute the depth, dimension, and regularity of these binomial edge ideals.

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David Williams. 2025-06-07. Binomial Edge Ideals of Complements of Graphs of Girth at Least 5. https://arxiv.org/abs/2312.01613

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