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RandomIdeals : Table of Contents
RandomIdeals
-- A package to construct various sorts of random ideals
AlexanderProbability
-- option to randomSquareFreeStep
Finding Extreme Examples
-- Ways to use random ideals to search for (counter)-examples
idealChainFromShelling
-- Produces chains of ideals from a shelling.
idealFromShelling
-- Produces an ideal from a shelling
isShelling
-- determines whether a list represents a shelling of a simplicial complex.
randomAddition
-- Adds a random facet to a shellable complex
randomBinomialEdgeIdeal
-- Creates a binomial edge ideal from a random graph with n vertices and t edges.
randomBinomialIdeal
-- randomBinomialIdeal with binomials of given degrees
randomEdgeIdeal
-- Creates an edge ideal from a random graph with n vertices and t edges.
randomElementsFromIdeal
-- Chooses random elements of given degrees in a given ideal.
randomIdeal
-- randomIdeal made from a given set of monomials
randomMonomial
-- Choose a random monomial of given degree in a given ring
randomMonomialIdeal
-- random monomial ideal with given degree generators
randomPureBinomialIdeal
-- randomPureBinomialIdeal with binomials of given degrees
randomShellableIdeal
-- Produces a ideal from a random shellable simplicial complex
randomShellableIdealChain
-- Produces a chain of ideals from a random shelling
randomShelling
-- produces a random chain of shellable complexes
randomSparseIdeal
-- randomSparseIdeal made from a given set of monomials
randomSquareFreeMonomialIdeal
-- random square-free monomial ideal with given degree generators
randomSquareFreeStep
-- A step in a random walk with uniform distribution over all monomial ideals
randomToricEdgeIdeal
-- Creates a toric edge ideal from a random graph with n vertices and t edges.
regSeq
-- regular sequence of powers of the variables, in given degrees
squareFree
-- ideal of all square-free monomials of given degree
squareFree(ZZ,Ring)
-- ideal of all square-free monomials of given degree