directed_triangle_decomposition (531B)
1 # Directed triangle decomposition problem 2 3 Given a [directed_graph] G, decide if the edge set of G can be partitioned into disjoint [triangles] 4 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. 6 7 Up: [decision_problem], [graph_partition_edges], [triangle] 8 9 See also: [holyer1981np] 10 11 Aliases: Directed triangle decomposition problem