English

Cohen-Macaulay generalized binomial edge ideals

Commutative Algebra 2023-07-04 v3 Combinatorics

Abstract

Let GG be a simple graph on nn vertices and let JG,mJ_{G,m} be the generalized binomial edge ideal associated to GG in the polynomial ring K[xij,1im,1jn]K[x_{ij}, 1\le i \le m, 1\le j \le n]. We classify the Cohen-Macaulay generalized binomial edge ideals. Moreover we study the unmixedness and classify the bipartite and power cycle unmixed ones.

Keywords

Cite

@article{arxiv.2112.15136,
  title  = {Cohen-Macaulay generalized binomial edge ideals},
  author = {Luca Amata and Marilena Crupi and Giancarlo Rinaldo},
  journal= {arXiv preprint arXiv:2112.15136},
  year   = {2023}
}
R2 v1 2026-06-24T08:36:02.866Z