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directed_triangle_decomposition (531B)


      1 # Directed triangle decomposition problem
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      3 Given a [directed_graph] G, decide if the edge set of G can be partitioned into disjoint [triangles]
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      5 According to [bonnet2018complexity] Lemma 2, it is [NP_hard] (and admits no [subexponential] algorithm under [ETH]) even if the input graph is [Eulerian] and has no 2-cycles and is [tripartite_graph] with edges oriented in pattern A -> B -> C -> A.
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      7 Up: [decision_problem], [graph_partition_edges], [triangle]
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      9 See also: [holyer1981np]
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     11 Aliases: Directed triangle decomposition problem