We show that two matroids have the joint list colouring property in the following 3 cases: first, if both are transversal matroids. Second, if the common bases are the arborescences of a digraph, and the arc set can be partitioned into 2 arborescences. Third, if both matroids have rank 2.
Bibtex entry:
AUTHOR | = | {Kir{\'a}ly, Tam{\'a}s and Pap, J{\'u}lia}, |
TITLE | = | {On the list colouring of two matroids}, |
NOTE | = | {{\tt egres.elte.hu}}, |
INSTITUTION | = | {Egerv{\'a}ry Research Group, Budapest}, |
YEAR | = | {2010}, |
NUMBER | = | {QP-2010-01} |