List questions from graphic-matroids | MathQA

Constructing a basis for a matroid with a circuit in it.

Published on 25 Mar 2026 - 14:03

proving that $r(X \cup Y) = r(X \cup cl(Y)).$

Published on 27 Sep 2023 - 23:53

proving that $r(X \cup cl(Y)) = r(cl(X) \cup cl(Y)).$

Published on 28 Sep 2023 - 0:02

Proving that $r(cl(X) \cup cl(Y)) = r(cl(X \cup Y))$.

Published on 28 Sep 2023 - 0:40

circuit and a cocircuit can not have an odd number of common elements.

Published on 07 Oct 2023 - 2:41

Show that a matroid $M$ is connected iff, for every pair of distinct elements of $E(M),$ there is a hyperplane avoiding both.

Published on 09 Oct 2023 - 10:24

The rank of $X$ in $M^*(G).$

Published on 23 Mar 2026 - 4:59