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Minimum Cut Problem

Given:
  • undirected graph G=(V,E)
Cut of a graph …
  • a partition of V into S ∪ T
    • S,T disjoint and both non-empty
  • its weight is the number of edges between S and T:
    ω(S,T) = | { {s,t}∈E : s∈S, t∈T } |
Minimum cut problem … find a cut of G with minimal weight