The propagation of charged solitons in a branching off conjugated polymer i
s studied. The soliton dynamics is numerically calculated using a 2-D exten
sion of the Su-Schrieffer-Heeger Hamiltonian. We found that the propagation
of a soliton through the bifurcation sites depends on the single-double bo
nd configuration around these sites as well as the length of each branch. I
t is found that the soliton can he trapped, go through, or he reflected at
the bifurcations. The implications for the setting up of molecular circuits
are determined.