Direct observation of the DW dynamics in a bifurcated wire reveals that the propagation is via the splitting of DW at the junction, resulting in individual DW in each branch. The DMI induced DW tilting leads to quasi-selective propagation through the network structure, with favored branch determined by the tilting angle of the DW surface. This results in the DW in the individual branches having different depinning fields. Our work shows that by tuning the DMI constant in a material, selective DW motion through a network can be achieved.