Projective dimensions of the edge ideals of forests
Margherita Barile
TL;DR
This paper investigates the projective dimensions of edge ideals associated with forests, aiming to understand their algebraic properties and how they relate to the combinatorial structure of forests.
Contribution
It introduces new bounds and formulas for the projective dimensions of edge ideals specifically for forest graphs, advancing the understanding of their algebraic invariants.
Findings
Derived explicit formulas for projective dimensions of forest edge ideals
Established bounds relating graph structure to algebraic properties
Provided insights into the homological characteristics of forest ideals
Abstract
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Polynomial and algebraic computation