source
γ(j,s)=0 for all j and γ(s,j)=/0 for some j
sink
γ(d,j)=0 for all j and γ(j,d)=/0 for some j
path
sequence of neighbouring arcs
flow
function satisfying:
f(i,j) is less or equal to γ(i,j)
f(i,j)=-f(j,i)
Sum of j of f(i,j) is equal to sum over j of f(j,i) for all i (except sinks and sources)
saturated path under f
contains an arc where f=γ
total flow from the source A(f)
sum over sources (sum over i (f(s,i)))
cut
ordered pair of subsets, that partition all nodes and A contains source, B contains sink
Maximal flow/minimal cut theorem
For maximal flow, there exists a cut st A(f)=min γ(Α,Β)