English

Generalized binomial edge ideals of complete $r$-partite graphs

Commutative Algebra 2023-12-20 v1

Abstract

This paper analyzes the cohomological dimension of the generalized binomial edge ideal \calJKm,G\calJ_{K_m,G} for a complete rr-partite graph GG. Additionally, the Krull dimension, the depth, the Castelnuovo--Mumford regularity, the Hilbert series, and the multiplicity of its quotient ring are explicitly determined.

Keywords

Cite

@article{arxiv.2312.11807,
  title  = {Generalized binomial edge ideals of complete $r$-partite graphs},
  author = {Yi-Huang Shen and Guangjun Zhu},
  journal= {arXiv preprint arXiv:2312.11807},
  year   = {2023}
}
R2 v1 2026-06-28T13:55:32.343Z