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graph_partition_edges (662B)


      1 # Graph partition edges
      2 
      3 Partitioning the edges of a [graph] into specified patterns
      4 
      5 - [dyer1985complexity] [NP_hard] to partition into [connected] [subgraphs] of size 3 even in case of [planar_graphs], and other results
      6 - [bulteau2016decomposing]: also in the case of [cubic_graphs]
      7 - Partitioning into [P3] is in [PTIME], it can be done by reduction to [perfect_matching]
      8   - Also discussed in [diwan2015p3]
      9   - In fact for simple undirected graphs a solution always exist when the connected components have an even number of edges, see [diwan2017decomposing]
     10 
     11 Variant: partitioning the vertices, see [graph_partition]
     12 
     13 Up: [computational_problem] on [graph]