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Questions related to combinatorics and discrete mathematical structures
2
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Maximum number of augmenting paths in a network flow
I got it myself... The idea is to set the flows of all edges to 0 one by one. It will take M iterations to do so. Once all edges are set to zero it becomes clear that the highest number of augmenting …
4
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Maximum number of augmenting paths in a network flow
Let's say we a have flow network with $m$ edges and integer capacities.
Prove that there exists a sequence of at most $m$ augmenting paths that yield the maximum flow.
A good way to start thinking …