Towards the Proximity Conjecture on Group-Labeled Matroids

Dániel Garamvölgyi, Ryuhei Mizutani, Taihei Oki +2

Consider a matroid $M$ whose ground set is equipped with a labeling to an abelian group. A basis of $M$ is called $F$-avoiding if the sum of the labels of its elements is not in a…