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polytree (568B)


      1 # Polytree
      2 
      3 https://en.wikipedia.org/wiki/Polytree
      4 
      5 A polytree is a [directed_acyclic_graph] whose underlying [undirected_graph] is a [tree]
      6 
      7 A polytree is always a [multitree]
      8 
      9 In a polytree, we can do [transitive_closure] in [output_linear] time, and do [enumeration] of reachable leaves with linear preprocessing and constant delay
     10 - this is like [boolean_matrix_multiplication] when there are no duplicate ways to obtain ones
     11   - like [context_free_grammar_unambiguous]
     12   - like [circuit] [deterministic]
     13 
     14 Up: [graph_family]
     15 
     16 See also: [multitree], [pseudoforest]