Flats - Maple Help
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Matroids

  

Flats

  

return the flats of a matroid

 

Calling Sequence

Parameters

Description

Examples

References

Calling Sequence

Flats(M)

Parameters

M

-

Matroid

Description

• 

The flats of a matroid are those subsets which are maximal with respect to their rank. Given a matroid, the Flats command returns the flats of that matroid as a list of sets.

• 

If the flats of this matroid haven't been computed before, they are computed by this command and stored for any future computations that use the flats.

Examples

Find the sets of indices whose corresponding columns form a flat in the column space of a matrix.

(1)

(2)

(3)

References

  

James G. Oxley. Matroid Theory (Oxford Graduate Texts in Mathematics). New York: Oxford University Press. 2006.

See Also

Matroids[Matroid]

Matroids[Rank]

 


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