The generalized Grassmann–Plücker exchange conjecture for matroid bases
Let AAA and BBB be bases of a matroid M\mathbf{M}M with rank function rrr. For any X⊆A∖BX\subseteq A\setminus BX⊆A∖B and Y⊆B∖AY\subseteq B\setminus AY⊆B∖A and integer ppp with ∣Y∣≤p≤∣X∣|Y| \le p \le |X|∣Y∣≤p≤∣X∣,…