
I am looking for an efficient algorithm for balanced maxflow in a digraph. By balanced I mean if there are mutiple paths from source to the sink node, the flow is divided in a balanced across participating edges. For example consider the graph; G={(a,b,4),(b,c,4),(b,d,4),(c,e,4),(d,e,4) } In this graph the maxflow from 'a' to 'e' is 4. The balanced maxflow is the one that carries 2 units along the edges (b,c),(b,d),(c,e),(d,e).
R. 