matroid-props {zonohedra}

matroid properties

Description

get some important boolean properties of a matrix, see Matroid - Wikipedia for the definitions.

Usage

## S3 method for class 'matroid'
is_simple( x )

## S3 method for class 'matroid'
is_uniform( x )

## S3 method for class 'matroid'
is_paving( x )

Arguments

x

a matroid object, as returned from the constructor matroid()

Value

is_simple() returns a logical. A matroid is simple iff it has no loops and no multiple groups.

is_uniform() returns a logical. A matroid is uniform iff all the hyperplanes have the same size, which is the rank-1.

is_paving() returns a logical. For the definition of paving see Paving Matroid - Wikipedia. This property is important because the hyperplane axioms are fairly easy to check.

References

Matroid - Wikipedia. https://en.wikipedia.org/w/index.php?title=Matroid&oldid=1086234057

Paving Matroid - Wikipedia. https://en.wikipedia.org/w/index.php?title=Paving_matroid&oldid=1021966244

See Also

matroid()