# What is a net flow?

I tried to find strict definition in Google and books, but didn't succeed. How it connected with max flow and residual network?

• In what context did you see it? Aug 21 '21 at 15:09
• @nirshahar net flow across the cut Aug 21 '21 at 15:19
• Across what cut? are you talking about a max-flow network problem? Aug 21 '21 at 15:29
• @nirshahar yes, as I mentioned Aug 21 '21 at 15:31
• If the flow is from $s$ to $t$ and cut is $(A,B)$ with $s \in A$ and $t \in B$, net flow is probably referring to the amount of flow on the edges in $A \times B$ minus the amount of flow on the edges in $B \times A$. Aug 22 '21 at 0:16