  We consider the reflectionless transport of Manakov solitons in networks. The
system is modelled in terms of the Manakov system on metric graphs subject to
transparent boundary conditions at the branching points. Simple constraints
combining the equivalent usual Kirchhoff vertex conditions with the transparent
conditions are derived in terms of nonlinearity coefficients.
  Although the method is used for a metric star graph, an extension to more
complicated graph topologies is easily possible.
