On packing 3-connected restrictions into 3-connected matroids Original Research Article

Let M1,M2,…,Mn be 3-connected restrictions of a 3-connected matroid M on disjoint ground sets E1,E2,…,En, respectively. This paper proves that M has a 3-connected minor N that contains E1∪E2U…∪En, has its restriction to each Ei being Mi, and has at most 2n − 2 additional elements.