CollectionOfCells -- Type representing a collection of cells

Methods that use a collection of cells:

• adjacent2MinorIdeal(CollectionOfCells) -- see adjacent2MinorIdeal -- Ideal generated by adjacent 2-minors
• allNonAttackingRookConfigurations(CollectionOfCells) -- see allNonAttackingRookConfigurations -- All non-attacking rook configurations in Q
• cellGraph(CollectionOfCells) -- see cellGraph -- Graph associated with a collection of cells
• collectionIsConnected(CollectionOfCells) -- see collectionIsConnected -- Check if a collection of cells is connected
• collectionIsSimple(CollectionOfCells) -- see collectionIsSimple -- Simplicity of a collection of cells
• connectedComponentsCells(CollectionOfCells) -- see connectedComponentsCells -- Connected components of a collection of cells
• equivalenceClassesSwitchingRook(CollectionOfCells) -- see equivalenceClassesSwitchingRook -- Equivalence classes of rook configurations under switching
• innerInterval(List,List,CollectionOfCells) -- see innerInterval -- Inner interval of a collection of cells
• isColumnConvex(CollectionOfCells) -- see isColumnConvex -- Column convexity of a collection of cells
• isConvex(CollectionOfCells) -- see isConvex -- Convexity of a collection of cells
• isNonAttackingRooks(List,List,CollectionOfCells) -- see isNonAttackingRooks -- Check if a rook configuration is non-attacking
• isRowConvex(CollectionOfCells) -- see isRowConvex -- Row convexity of a collection of cells
• polyoIdeal(CollectionOfCells) -- see polyoIdeal -- Ideal of inner 2-minors of a collection of cells
• polyoLattice(CollectionOfCells) -- see polyoLattice -- Lattice associated with a collection of cells
• polyoMatrix(CollectionOfCells) -- see polyoMatrix -- Matrix attached to a collection of cells
• polyoMatrixReduced(CollectionOfCells) -- see polyoMatrixReduced -- Reduced form of the polyomino matrix
• polyoToric(CollectionOfCells,List) -- see polyoToric -- Toric ideal of a polyomino
• polyoVertices(CollectionOfCells) -- see polyoVertices -- Vertices of a collection of cells
• rankCollection(CollectionOfCells) -- see rankCollection -- Rank of a collection of cells
• rookNumber(CollectionOfCells) -- see rookNumber -- Rook number of a collection of cells
• rookPolynomial(CollectionOfCells) -- see rookPolynomial -- Rook polynomial of a collection of cells
• standardNonAttackingRookConfigurations(CollectionOfCells) -- see standardNonAttackingRookConfigurations -- Standard non-attacking rook configurations
• standardRookNumber(CollectionOfCells) -- see standardRookNumber -- Standard rook number of a collection of cells
• standardRookPolynomial(CollectionOfCells) -- see standardRookPolynomial -- Standard rook polynomial of a collection of cells
• switchingRookPolynomial(CollectionOfCells) -- see switchingRookPolynomial -- Switching rook polynomial of a collection of cells

For the programmer

The object CollectionOfCells is a type, with ancestor classes List < VisibleList < BasicList < Thing.

The source of this document is in PolyominoIdeals.m2:1014:0.