Two-way deletion

I have the following requirements:

Copy file from centre to edge
Allow adding files to edge (that do not get deleted by repliweb)
Files deleted from centre also get deleted from edge
Files deleted from edge also get deleted from centre

A mirror job with a reinitialise time of 0 achieves the first three requirements.

Is there a way of achieving the forth? Can you have two replication jobs one each way? Or could it be scripted?

Thanks in advance
Phil