Vol. 9, No. 1, 2019

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Random Monomial Ideals: a Macaulay2 package

Sonja Petrović, Despina Stasi and Dane Wilburne

Vol. 9 (2019), 65–70
Abstract

The Macaulay2 package RandomMonomialIdeals.m2 provides users with a set of tools that allow for the systematic generation and study of random monomial ideals. It also introduces new objects, Sample and Model, to allow for streamlined handling of random objects and their statistics in Macaulay2.

Keywords
random monomial ideals, random commutative algebra, combinatorial commutative algebra, Macaulay2 package
Mathematical Subject Classification 2010
Primary: 13F20
Secondary: 05E40
Supplementary material

A package for generating Erdős-Rényi-type random monomial ideals

Milestones
Received: 27 November 2017
Revised: 27 February 2019
Accepted: 11 April 2019
Published: 5 July 2019
Authors
Sonja Petrović
Department of Applied Mathematics
Illinois Institute of Technology
Chicago, IL
United States
Despina Stasi
Department of Applied Mathematics
Illinois Institute of Technology
Chicago, IL
United States
Dane Wilburne
Department of Mathematics and Statistics
York University
Toronto ON
Canada