3
$\begingroup$

Let $M_k$ be the (oriented) matroid of the $2^k$ points $B_k = \{-1, 1\}^k$ in $\mathbb R^k$. In other words, the (oriented) circuits of $M_k$ are the minimal (signed) linear dependences among $B_k$.

What do we know about these matroids and in particular their circuits? I'd appreciate pointers to prior work.

$\endgroup$

1 Answer 1

3
$\begingroup$

A.O. Matveev's paper discusses these these matroids, but with a focus on topes rather than circuits.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.