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collectionIsSimple -- Simplicity of a collection of cells

Usage:

collectionIsSimple Q
Inputs:
- Q, a collection of cells
Outputs:
- true if Q is simple, otherwise false

Description

This function checks if a collection of cells is simple, that is, it has no holes.

i1 : Q = cellCollection {{1,1},{2,1},{1,2},{2,2}};

i2 : collectionIsSimple Q

o2 = true

i3 : Q = cellCollection {{1,1},{2,1},{3,1},{1,2},{3,2}};

i4 : collectionIsSimple Q

o4 = true

i5 : Q = cellCollection {{1,1},{2,1},{3,1},{3,2},{1,2},{1,3},{2,3}};

i6 : collectionIsSimple Q

o6 = false

See also

cellCollection -- Create a collection of cells
collectionIsConnected -- Check if a collection of cells is connected
connectedComponentsCells -- Connected components of a collection of cells
isRowConvex -- Row convexity of a collection of cells
isColumnConvex -- Column convexity of a collection of cells
isConvex -- Convexity of a collection of cells

Ways to use collectionIsSimple:

collectionIsSimple(CollectionOfCells)

For the programmer

The object collectionIsSimple is a method function with options.

The source of this document is in PolyominoIdeals.m2:1840:0.