Author:
Donald John,Tobey Malcolm
Abstract
Let b and c be bases of a matroid. Then for any integer r, there exists an injection σ from r−subsets I of b to r-subsets σ(I) of c such that b – I + σ(I) is a base for all I. This result has implications for the structure of matroid base graphs.
Publisher
Cambridge University Press (CUP)
Cited by
3 articles.
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1. On generalisations of the Aharoni–Pouzet base exchange theorem;Bulletin of the London Mathematical Society;2023-02-23
2. On Sequential Basis Exchange in Matroids;SIAM Journal on Discrete Mathematics;2021-01
3. Matroids;Handbook of Algebra;1996