## Encyclopedia > Flows

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# Flows

Flows A Network Flow $f$ is a real function $f:V \times V \rightarrow R$ with the following three properties
   1 $f(u,v) = - f(v,u)$      $\forall u,v \in V$
2 $f(u,v) \le c(u,v)$      $\forall u,v \in V$
3 $\sum_{v \in V} f(u,v) = 0$     $\forall u \in V \setminus {s,t}$


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