Work

Stanley–Reisner rings of neighborhood complexes and linear resolutions

Year: 2026

Type: article

Abstract: The neighborhood complex of a graph is well studied in topological combinatorics. We begin a study of Stanley–Reisner rings of neighborhood complexes and their Alexander duals by determining them in some cases. We are in particular interested in finding rings with linear resolutions.

Source: Journal of Algebraic Combinatorics

DOI: 10.1007/s10801-026-01530-x

Author: Ralf Fröberg

Institution: Stockholm University

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Stockholms Universitet