Maintain the same constraints on edge capacity, skew symmetry, and flow conservation in the ordinary maximum-flow problem on a flow network of comparable size.
A flow network is a directed graph with each edge having a capacity and each edge receiving a flow, according to graph theory. The amount of flow on an edge must not exceed the edge's capacity.
Let's suppose the network flow is given by;
G = (V, E)
With edge capacity:
c: E → R
And vertex capacity:
d: V → R
Maintain the same constraints on edge capacity, skew symmetry, and flow conservation.
Consider the new stipulation: for each:
v ∈V
So,
[tex]\rm \sum_{u \in v } \{ f(u,v)|f(u,v) > 0 \} \leq d(v)[/tex]
Thus, if maintain the same constraints on edge capacity, skew symmetry, and flow conservation the ordinary maximum-flow problem on a flow network of comparable size.
Learn more about the flow network here:
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