On the binomial edge ideals of proper interval graphs
Commutative Algebra
2016-12-01 v1 Combinatorics
Abstract
We prove several cases of the Betti number conjecture for the binomial edge ideal of a proper interval graph (also known as closed graph). Namely, we show that this conjecture is true for the linear strand of , and true in general for any proper interval graph such that the regularity of equals two.
Cite
@article{arxiv.1611.10117,
title = {On the binomial edge ideals of proper interval graphs},
author = {Herolistra Baskoroputro},
journal= {arXiv preprint arXiv:1611.10117},
year = {2016}
}