Binomial edge ideals of crown graphs
arXiv:2507.03889
Abstract
In this article, we explore the class of graphs for which the projective dimension of the quotient of the binomial edge ideals matches the big height of that ideal. Additionally, we investigate the Vasconcelos number of binomial edge ideals for cycles and crown graphs. We also provide proof for [Conjecture 4.13, 3], which is related to the Vasconcelos number of binomial edge ideals for cycles.
20 pages, 11 figures. Accepted for publication in Journal of Algebraic Combinatorics. This work was carried out and completed as part of an intensive five-week summer research program in Summer 2024, designed and supervised by the first author