3 papers
math.AC2025
Binomial Edge Ideals of Complements of Graphs of Girth at Least 5
David Williams
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 Ãlvarez Montaner in arXiv:1901…
math.AC2024
Minimal Attached Primes of Local Cohomology Modules of Binomial Edge Ideals of Block Graphs
David Williams
We calculate the minimal attached primes of the local cohomology modules of the binomial edge ideals of block graphs. In particular, we obtain a combinatorial characterisation of w…
math.AC2024
LF-Covers and Binomial Edge Ideals of König Type
David Williams
We give a combinatorial characterisation of connected graphs whose binomial edge ideals are of König type, developed independently to the similar characterisation given by LaClair…