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uniformMatroid -- uniform matroid

Usage:

U = uniformMatroid(k, n)
Inputs:
- k, an integer,
- n, an integer,
Outputs:
- a matroid, the uniform matroid of rank k on n elements

Description

The uniform matroid of rank k has as bases all size k subsets. The ground set is $\{0, ..., n-1\}$.

i1 : U35 = uniformMatroid(3,5)

o1 = a "matroid" of rank 3 on 5 elements

o1 : Matroid

i2 : peek U35

o2 = Matroid{bases => {set {0, 1, 2}, set {0, 1, 3}, set {0, 2, 3}, set {1, 2, 3}, set {4, 0, 1}, set {4, 0, 2}, set {4, 1, 2}, set {4, 0, 3}, set {4, 1, 3}, set {4, 2, 3}}}
             cache => CacheTable{...1...}
             groundSet => set {0, 1, 2, 3, 4}
             rank => 3

See also

specificMatroid -- creates built-in matroid

Ways to use uniformMatroid:

uniformMatroid(ZZ,ZZ)

For the programmer

The object uniformMatroid is a method function.

The source of this document is in Matroids/doc-Matroids.m2:3093:0.