Splitting cycles in graphs
David Johannsen, David Marchette
TL;DR
This paper establishes a sufficient condition on cycles in graphs that guarantees the edge ideal is splittable, providing an explicit splitting function for these ideals.
Contribution
It introduces a new sufficient condition for cycle-based edge ideals to be splittable and offers an explicit splitting function.
Findings
Identifies a sufficient condition for cycle-based edge ideals to be splittable.
Provides an explicit splitting function for these ideals.
Advances understanding of the algebraic structure of graph edge ideals.
Abstract
The goal of this paper is to describe a sufficient condition on cycles in graphs for which the edge ideal is splittable. We give an explicit splitting function for such ideals.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Rings, Modules, and Algebras · Polynomial and algebraic computation