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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

4 votes
1 answer
223 views

What's known about the matroid induced by the Plücker coordinates of the representation of a...

Let $M$ be a linear matroid with ground set $E$ and independent subsets $\mathcal I$, represented by $\rho: E \rightarrow V$. This induces a map $$ \hat\rho: \mathcal I \rightarrow \mathbf P(\Lambda V …