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algebraicMatroidBases -- The bases of the algebraic matroid

Synopsis

Description

Displays the bases of the algebraic matroid associated to the Grassmannian Gr$(k,n)$ matching field in terms of the $k$-subsets of $[n]$. For more details about the matroid, see the function algebraicMatroid.

i1 : L = diagonalMatchingField(2, 4)

o1 = Grassmannian Matching Field for Gr(2, 4)

o1 : GrMatchingField
 
i2 : netList algebraicMatroidBases L

     +--------------------------------------------+
o2 = |set {{1, 2}, {1, 3}, {1, 4}, {2, 3}, {3, 4}}|
     +--------------------------------------------+
     |set {{1, 2}, {1, 3}, {2, 3}, {2, 4}, {3, 4}}|
     +--------------------------------------------+
     |set {{1, 2}, {1, 3}, {1, 4}, {2, 4}, {3, 4}}|
     +--------------------------------------------+
     |set {{1, 2}, {2, 3}, {1, 4}, {2, 4}, {3, 4}}|
     +--------------------------------------------+

See also

Ways to use algebraicMatroidBases :

For the programmer

The object algebraicMatroidBases is a method function.

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