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multiway_cut (652B)


      1 # Multiway cut
      2 
      3 Given [undirected_graph] G with edge weights, and set of terminals T, compute a minimum-weight subset of [edges] such that all terminals are disconnected when removing these edges
      4 
      5 [NP_hard] already for k=3 [dahlhaus1994complexity], already on unweighted [undirected_graphs]
      6 - reduction from [simple_max_cut]
      7 
      8 [academic_papers] on [approximation]: [buchbinder2019simple]
      9 
     10 - lots of works on various [graph_classes], e.g., [pandey2022planar]
     11   - aka [multiterminal_cut]
     12 - [garg1994multiway]
     13 
     14 Also on [directed_graphs]: [multiway_cut_directed]
     15 
     16 Up: [minimum_cut]
     17 
     18 See also: [minimum_multicut], [skew_multicut]
     19 
     20 Aliases: multiterminal cut