Depth of powers of edge ideals of edge-weighted integrally closed cycles
Guangjun Zhu, Jiaxin Li, Yijun Cui, Yi Yang
TL;DR
This paper provides exact formulas for calculating the depth of powers of edge ideals in edge-weighted integrally closed cycles, advancing understanding in algebraic combinatorics.
Contribution
It introduces explicit formulas for the depth of powers of edge ideals in a specific class of weighted cycles, a novel result in algebraic graph theory.
Findings
Exact formulas for depth of powers of edge ideals
Applicable to edge-weighted integrally closed cycles
Enhances algebraic understanding of graph ideals
Abstract
This paper gives some exact formulas for the depth of powers of the edge ideal of an edge-weighted integrally closed cycle.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras