List colouring of two matroids through reduction to partition matroids

Kristóf Bérczi, Tamás Schwarcz, Yutaro Yamaguchi

In the list coloring problem for two matroids, we are given matroids $M_1=(S,{\mathcal{I}}_1)$ and $M_2=(S,{\mathcal{I}}_2)$ on the same ground set $S$, and the goal is to determine the smal…