PolyominoIdeals : Index

• adjacent2MinorIdeal -- Ideal generated by adjacent 2-minors
• adjacent2MinorIdeal(...,Field=>...) -- optional argument for polyoIdeal and adjacent2MinorIdeal
• adjacent2MinorIdeal(...,TermOrder=>...) -- optional argument for polyoIdeal and adjacent2MinorIdeal
• adjacent2MinorIdeal(CollectionOfCells) -- Ideal generated by adjacent 2-minors
• allNonAttackingRookConfigurations -- All non-attacking rook configurations in Q
• allNonAttackingRookConfigurations(CollectionOfCells) -- All non-attacking rook configurations in Q
• cellCollection -- Create a collection of cells
• cellCollection(List) -- Create a collection of cells
• cellGraph -- Graph associated with a collection of cells
• cellGraph(CollectionOfCells) -- Graph associated with a collection of cells
• collectionIsConnected -- Check if a collection of cells is connected
• collectionIsConnected(CollectionOfCells) -- Check if a collection of cells is connected
• collectionIsSimple -- Simplicity of a collection of cells
• collectionIsSimple(CollectionOfCells) -- Simplicity of a collection of cells
• CollectionOfCells -- Type representing a collection of cells
• connectedComponentsCells -- Connected components of a collection of cells
• connectedComponentsCells(CollectionOfCells) -- Connected components of a collection of cells
• equivalenceClassesSwitchingRook -- Equivalence classes of rook configurations under switching
• equivalenceClassesSwitchingRook(CollectionOfCells) -- Equivalence classes of rook configurations under switching
• Field -- optional argument for polyoIdeal and adjacent2MinorIdeal
• innerInterval -- Inner interval of a collection of cells
• innerInterval(List,List,CollectionOfCells) -- Inner interval of a collection of cells
• isColumnConvex -- Column convexity of a collection of cells
• isColumnConvex(CollectionOfCells) -- Column convexity of a collection of cells
• isConvex -- Convexity of a collection of cells
• isConvex(CollectionOfCells) -- Convexity of a collection of cells
• isNonAttackingRooks -- Check if a rook configuration is non-attacking
• isNonAttackingRooks(List,List,CollectionOfCells) -- Check if a rook configuration is non-attacking
• isPalindromic -- Check if a polynomial is palindromic
• isPalindromic(RingElement) -- Check if a polynomial is palindromic
• isRowConvex -- Row convexity of a collection of cells
• isRowConvex(CollectionOfCells) -- Row convexity of a collection of cells
• polyoIdeal -- Ideal of inner 2-minors of a collection of cells
• polyoIdeal(...,Field=>...) -- optional argument for polyoIdeal and adjacent2MinorIdeal
• polyoIdeal(...,RingChoice=>...) -- optional argument for polyoIdeal
• polyoIdeal(...,TermOrder=>...) -- optional argument for polyoIdeal and adjacent2MinorIdeal
• polyoIdeal(CollectionOfCells) -- Ideal of inner 2-minors of a collection of cells
• polyoLattice -- Lattice associated with a collection of cells
• polyoLattice(CollectionOfCells) -- Lattice associated with a collection of cells
• polyoMatrix -- Matrix attached to a collection of cells
• polyoMatrix(CollectionOfCells) -- Matrix attached to a collection of cells
• polyoMatrixReduced -- Reduced form of the polyomino matrix
• polyoMatrixReduced(CollectionOfCells) -- Reduced form of the polyomino matrix
• PolyominoIdeals -- a package to work with collections of cells, polyominoes and associated binomial ideals
• polyoToric -- Toric ideal of a polyomino
• polyoToric(CollectionOfCells,List) -- Toric ideal of a polyomino
• polyoVertices -- Vertices of a collection of cells
• polyoVertices(CollectionOfCells) -- Vertices of a collection of cells
• randomCollectionOfCells -- Random collection of cells up to a given size
• randomCollectionOfCells(ZZ) -- Random collection of cells up to a given size
• randomCollectionWithFixedRank -- Random collection of cells with fixed rank
• randomCollectionWithFixedRank(ZZ) -- Random collection of cells with fixed rank
• randomPolyomino -- Random polyomino with random size up to a given bound
• randomPolyomino(ZZ) -- Random polyomino with random size up to a given bound
• randomPolyominoWithFixedRank -- Random polyomino with fixed rank
• randomPolyominoWithFixedRank(ZZ) -- Random polyomino with fixed rank
• rankCollection -- Rank of a collection of cells
• rankCollection(CollectionOfCells) -- Rank of a collection of cells
• RingChoice -- optional argument for polyoIdeal
• rookNumber -- Rook number of a collection of cells
• rookNumber(CollectionOfCells) -- Rook number of a collection of cells
• rookPolynomial -- Rook polynomial of a collection of cells
• rookPolynomial(CollectionOfCells) -- Rook polynomial of a collection of cells
• standardNonAttackingRookConfigurations -- Standard non-attacking rook configurations
• standardNonAttackingRookConfigurations(CollectionOfCells) -- Standard non-attacking rook configurations
• standardRookNumber -- Standard rook number of a collection of cells
• standardRookNumber(CollectionOfCells) -- Standard rook number of a collection of cells
• standardRookPolynomial -- Standard rook polynomial of a collection of cells
• standardRookPolynomial(CollectionOfCells) -- Standard rook polynomial of a collection of cells
• switchingRookPolynomial -- Switching rook polynomial of a collection of cells
• switchingRookPolynomial(CollectionOfCells) -- Switching rook polynomial of a collection of cells
• TermOrder -- optional argument for polyoIdeal and adjacent2MinorIdeal