The Betti numbers of Stanley-Reisner ideals of simplicial trees
Sara Faridi
TL;DR
This paper introduces a straightforward method for computing the Betti numbers of Stanley-Reisner ideals associated with simplicial trees and their Alexander duals, simplifying a complex algebraic process.
Contribution
The paper presents a novel, simple approach to calculate Betti numbers for Stanley-Reisner ideals of simplicial trees and their Alexander duals.
Findings
Method simplifies Betti number computation
Applicable to Stanley-Reisner ideals of simplicial trees
Enhances understanding of algebraic properties of simplicial complexes
Abstract
We provide a simple method to compute the Betti numbers if the Stanley-Reisner ideal of a simplicial tree and its Alexander dual.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Topological and Geometric Data Analysis