Nilpotent graphs over skew PBW extensions
Abstract
We study the diameter and girth of nilpotent graphs associated with skew PBW extensions over $2$-primal rings, generalizing similar results on skew polynomial rings. Under certain compatibility conditions, we establish bounds for the diameter of the nilpotent graph and prove invariance of the girth under polynomial extensions.
Fields of Study & Subjects
graph theory and CDMA systems
Graph Labeling and Dimension Problems
Advanced Algebra and Logic
Publication details
- Journal / source
- International Electronic Journal of Algebra
- Issue
- Advanced Online Publication
- Pages
- 1–20
- Publication date
- 6 September 2026
- Language
- EN