Generalized binomial edge ideals of bipartite graphs

YH Shen, G Zhu - Journal of Algebra, 2025 - Elsevier
Connected bipartite graphs whose binomial edge ideals are Cohen–Macaulay have been
classified by Bolognini et al. In this paper, we compute the depth, Castelnuovo–Mumford …

On the Depth of Generalized Binomial Edge Ideals

R Mehta, K Saha - arXiv preprint arXiv:2401.06573, 2024 - arxiv.org
This research focuses on analyzing the depth of generalized binomial edge ideals. We
extend the notion of $ d $-compatible map for the pairs of a complete graph and an arbitrary …

On the Depth of Generalized Binomial Edge Ideals

J Anuvinda, R Mehta, K Saha - Mediterranean Journal of Mathematics, 2024 - Springer
This research focuses on analyzing the depth of generalized binomial edge ideals. We
extend the notion of d-compatible map and use it to give a combinatorial lower bound for the …