For the following problem I am trying to find maximum flow and minimum cut:
I found the maximum flow as 6 like this:
$1-2-5-8: 2 flows$
But I am having trouble to match the min cut, I thought it would be 8(by cutting the following arcs $(7,8)$ and $(5,8))$. How do I match the min cut? Or do you think I made a mistake finding max flow?