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counting_simple_path_approximate (448B)


      1 # Approximate counting of simple paths
      2 
      3 Given a [graph], can we do [approximate_counting] for the [counting_problem] of [counting_simple_paths]?
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      5 No: there is no [FPRAS] unless [RP] = [NP], cf [yamamoto2017approximately]
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      7 This applies for [undirected_graphs] and for [directed_graphs], and with fixed endpoints or without fixed endpoints
      8 
      9 Up: [counting_simple_path]
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     11 Aliases: approximate counting simple paths, approximate counting of simple paths