Minimal Cellular Resolutions of Powers of Graphs
Abstract
Let $G$ be a connected graph and let $I(G)$ denote its edge ideal. We classify when $I(G)^n$, for $n \ge 1$, admits a minimal Lyubeznik resolution. We also give a characterization for when $I(G)^n$ is bridge-friendly, which, in turn, implies that $I(G)^n$ has a minimal Barile-Macchia cellular resolution.
Fields of Study & Subjects
Rings
Modules
and Algebras
Commutative Algebra and Its Applications
Digital Image Processing Techniques
Publication details
- Journal / source
- The Electronic Journal of Combinatorics
- Volume
- 33
- Issue
- 1
- Publication date
- 13 February 2026
- Language
- EN