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isConvex -- Convexity of a collection of cells

Usage:

isConvex Q
Inputs:
- Q, a collection of cells
Outputs:
- true if Q is convex (both row- and column-convex), otherwise false

Description

Checks whether a collection of cells is convex, that is, both row- and column-convex.

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

i2 : isConvex Q

o2 = true

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

i4 : isConvex Q

o4 = false

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

i6 : isConvex 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
collectionIsSimple -- Simplicity of a collection of cells

Ways to use isConvex:

isConvex(CollectionOfCells)

For the programmer

The object isConvex is a method function with options.

The source of this document is in PolyominoIdeals.m2:1809:0.