Partially ordered sets in Macaulay2
David Cook II, Sonja Mapes, and Gwyneth Whieldon
TL;DR
The paper introduces the Posets package for Macaulay2, enabling efficient manipulation and analysis of partially ordered sets with various enumeration, operation, and invariant calculation tools.
Contribution
It provides the first comprehensive software package for working with posets in Macaulay2, including new methods for enumeration, operations, and invariant computations.
Findings
Implemented methods for enumerating common classes of posets
Enabled operations on posets within Macaulay2
Calculated various invariants associated with posets
Abstract
We introduce the package Posets for Macaulay2. This package provides a data structure and the necessary methods for working with partially ordered sets, also called posets. In particular, the package implements methods to enumerate many commonly studied classes of posets, perform operations on posets, and calculate various invariants associated to posets.
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