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Network flows are used to model concepts like traffic or water pipe systems. The basic idea is to move as many units of flow from source to sink nodes via edges with limited capacity.

2 votes
2 answers
321 views

Find max flow in a network with all capcities of $\sqrt 2$ and one with 2

Given a graph $G(V, E)$ with capacities on the edges such that all edges have a capacity of $\sqrt2$ apart from one edge with a capacity of 2. need to find max flow efficiently. I can run Dinic on th …
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  • 157
1 vote
1 answer
641 views

Given a network flow find if there's a min cut that only one of the given edges lay on it

Given a network flow $G=(V,E)$ with capacity function $C$ source $s$ and hole $t$, and given 2 edges $e_1 , e_2 $. Find if there exists a min-cut such that only one of the edges belongs to the min-cu …
BOB123's user avatar
  • 157