Regularity of powers of edge ideals of edge-weighted integrally closed cycles
Guangjun Zhu, Yijun Cui, Jiaxin Li, Yi Yang
TL;DR
This paper provides exact formulas for the regularity of powers of edge ideals in edge-weighted integrally closed cycles, advancing understanding in algebraic graph theory.
Contribution
It introduces precise formulas for the regularity of powers of edge ideals specifically in edge-weighted integrally closed cycles, a novel focus in the field.
Findings
Exact formulas for regularity of powers of edge ideals
Applicable to edge-weighted integrally closed cycles
Enhances algebraic understanding of cycle structures
Abstract
This paper gives exact formulas for the regularity of powers of edge ideals of an edge-weighted integrally closed cycle.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras