There can be multiple min-cuts in a network. E.g: has four min-cuts and Ford-Fulkerson finds the one "nearer" to s (the source). Can we say the same for all networks? That is, Ford-Fulkerson fin...

I understand that Ford-Fulkerson Algorithm can find the maximum flow that can flow from source (s) to sink (t) in a flow network. But is there an algorithm that finds all possible sets of paths tha...

I can't understand how to find circulation flow in the network with lower bounds(not demands). I found next documents with problem description and solving strategies: https://www.cs.cmu.edu/~ckin...

I am trying to implement a "Minimum Cost Network Flow" transportation problem solution in R. I understand that this could be implemented from scratch using something like lpSolve. However, I see ...

I want to apply Dinic's algorithm with dynamic tree. But I find very few sources. especially about the dynamic tree. It would be great if there is a good source with detailed explains or some simpl...

Can somebody please help me out with this problem? The solution is apparently using network flow but I am not very familiar with network flow. How does network flow help you solve this? A crab is ...

When talking about computing network flows, the Algorithm Design Manual says: Traditional network flow algorithms are based on the idea of augmenting paths, and repeatedly finding a path of posi...

The integraloty theorem tells us that if all capacities in a flow network are integers, then there is a maximum flow where every value is an integer But the most remarkable part is the existence, ...

Will the Ford-Fulkerson algorithm find a maximum flow of a unit-capacity flow network (all edges have unit capacity) with n vertices and m edges in O(mn) time?

I am solving an optimization problem in which, among other things, I must maximize flow networks. I implemented a c++ code based flow-maximization algorithm based in the following java code that ap...

How can I find maximum flow in this undirected graph? Can anyone show the step?

Given a directed weighted graph, how to find the Maximum Flow ( or Minimum Edge Cut ) between all pairs of vertices. The naive approach is simply to call a Max Flow algorithm like Dinic's, whose co...

I've tried to solve a question about the maximum-flow problem. I have one source and two sinks. I need to find a maximum flow in this network. This part is general max-flow. However, both targets h...

What algorithm should I use to find the minimum flow on a digraph where there are lower bounds, but not upper bounds on flow? Such as this simple example: In the literature this is a minimum cos...

I am self studying max flow and there was this problem: the original problem is Suppose we have a list of jobs {J1, J1,..., Jm} and a list of people that have applied for them {P1, P2, P3,...,Pn}...