Asymptotic depth of invariant chains of edge ideals

Journal of Combinatorial Theory Series A 2026 Open access

Read full text
Authors: Tran Quang Hoa, Dô Trong Hoang, Dinh Van Le, Hop D. Nguyen, Thái Thành Nguyên
DOI: 10.1016/j.jcta.2026.106221
Cited by: 0
References: 45

Abstract

We completely determine the asymptotic depth, equivalently, the asymptotic projective dimension of a chain of edge ideals that is invariant under the action of the monoid Inc of increasing functions on the positive integers. Our results and their proofs also reveal surprising combinatorial and topological properties of corresponding graphs and their independence complexes. In particular, we are able to determine the asymptotic behavior of all reduced homology groups of these independence complexes.

Fields of Study & Subjects

Commutative Algebra and Its Applications Polynomial and algebraic computation Algebraic Geometry and Number Theory

Publication details

Journal / source
Journal of Combinatorial Theory Series A
Publisher
Elsevier BV
Volume
224
Pages
106221–106221
Publication date
21 May 2026
Language
EN