SimplicialDecomposability: a package for Macaulay 2
David Cook II

TL;DR
The paper introduces the SimplicialDecomposability package for Macaulay 2, enabling computation of shelling orders and decomposability properties of simplicial complexes, enhancing computational tools in algebraic topology.
Contribution
It provides new methods for computing shelling orders and decomposability properties within Macaulay 2, extending existing capabilities for simplicial complex analysis.
Findings
Successfully computes shelling orders for simplicial complexes.
Implements methods for vertex- and k-decomposability detection.
Enhances computational tools for algebraic topology in Macaulay 2.
Abstract
We introduce a new Macaulay 2 package, SimplicialDecomposability, which works in conjunction with the extant package SimplicialComplexes in order to compute a shelling order, if one exists, of a specified simplicial complex. Further, methods for determining vertex-decomposability are implemented, along with methods for determining k-decomposability.
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Taxonomy
TopicsTopological and Geometric Data Analysis · Advanced Combinatorial Mathematics · Commutative Algebra and Its Applications
