, Volume 39, Issue 2, pp 265–272 | Cite as

Improved Bounds for Rota's Basis Conjecture

  • Sally DongEmail author
  • Jim Geelen


We prove that, if B1,...,Bn are disjoint bases of a rank-n matroid, then there are at least \(\frac{n}{{7\log n}}\) disjoint transversals of (B1,...,Bn) that are also bases.

Mathematics Subject Classification (2010)



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Copyright information

© János Bolyai Mathematical Society and Springer-Verlag Berlin Heidelberg 2018

Authors and Affiliations

  1. 1.Department of Combinatorics and OptimizationUniversity of WaterlooWaterlooCanada

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