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Local Cohomology Modules of Binomial Edge Ideals of Complements of Connected Graphs of Girth at Least 5

Authors :
Williams, David
Publication Year :
2023

Abstract

We calculate the local cohomology modules of the binomial edge ideals of the complements of connected graphs of girth at least 5 using the tools introduced by \`Alvarez Montaner in arXiv:1901.08645. We then use this calculation to compute the depth, dimension, and regularity of these binomial edge ideals.<br />Comment: 15 pages, v2 includes small changes to several proofs for clarity, and reorganises section 2 into subsections (whilst some numbering has changed, no new results are introduced)

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2312.01613
Document Type :
Working Paper