Matrix representations of frame and lifted-graphic matroids correspond to gain functions

Daryl Funk, Irene Pivotto, Daniel Slilaty

Let $M$ be a 3-connected matroid and let $\mathbb{F}$ be a field. Let $A$ be a matrix over $\mathbb{F}$ representing $M$ and let $(G,\mathcal{B})$ be a biased graph representing $M$.…