Inferring a Graph from Path Frequency

  • Tatsuya Akutsu
  • Daiji Fukagawa
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3537)


We consider the problem of inferring a graph (and a sequence) from the numbers of occurrences of vertex-labeled paths, which is closely related to the pre-image problem for graphs in machine learning: to reconstruct a graph from its feature space representation. We show that this problem can be solved in polynomial time in the size of an output graph if graphs are trees of bounded degree and the lengths of given paths are bounded by a constant. On the other hand, we show that this problem is strongly NP-hard even for planar graphs of bounded degree.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Tatsuya Akutsu
    • 1
  • Daiji Fukagawa
    • 2
  1. 1.Bioinformatics Center, Institute for Chemical ResearchKyoto UniversityKyotoJapan
  2. 2.Graduate School of InformaticsKyoto UniversityKyotoJapan

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