Math 2.0

Proposition

Neil White's conjecture

Statement

It is conjectured that all matroids satisfy the following property: For every integer t ≥ 1*,* If B and B' are two t-tuples of bases with the same multi-set union, then there is a sequence of symmetric exchanges that transforms B to B'.

Further reading

  1. Wikipedia, page 65673969, revision 1320304207, Basis of a matroid, section Properties > Neil White's conjecture. adopted
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Changed4 November 2026

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