A Faster Algorithm for Linear Programming and the Maximum Flow Problem II

Show how a maximum flow algorithm can be used to find a maximum... | Filo

There are many common variations of the maximum flow problem. Here are four of them. (a) There are many sources and many sinks, and we wish to maximize the total flow from all sources to all sinks. (b) Each vertex also has a capacity on the maximum flow that can enter it. (c) Each edge has not only a capacity, but also a lower bound on the flow it must carry. (d) The outgoing flow from each node u is not the same as the incoming flow, but is smaller by a factor of (1-ϵu), where ϵu is a loss coef

In a standard s-t Maximum-Flow Problem, we assume edges have ca... | Filo

The maximum attainable flowrate without any the water overflowing from the vertical tube.