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

Fuente: arXiv
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Auteur principal: Williams, David
Format: Preprint
Publié: 2023
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author Williams, David
author_facet Williams, David
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_01613
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Binomial Edge Ideals of Complements of Graphs of Girth at Least 5
Williams, David
Commutative Algebra
13C70 (Primary) 13D45, 13F65 (Secondary)
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.
title Binomial Edge Ideals of Complements of Graphs of Girth at Least 5
topic Commutative Algebra
13C70 (Primary) 13D45, 13F65 (Secondary)
url https://arxiv.org/abs/2312.01613