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thetaMatroid -- theta matroid

Synopsis

Description

The family of theta matroids appears in Oxley, p. 663. For a given n, thetaMatroid n has 2n elements and rank n.

A notable feature of this family is that thetaMatroid n is representable over a field iff the field has at least n - 1 elements (a property also shared by uniformMatroid(2, n)).

i1 : M = thetaMatroid 3

o1 = a "matroid" of rank 3 on 6 elements

o1 : Matroid
 
i2 : areIsomorphic(M, matroid completeGraph 4)

o2 = true

See also

Ways to use thetaMatroid:

For the programmer

The object thetaMatroid is a method function.