RandomIdeals : Index

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