Inferring a tree from walks

  • Osamu Maruyama
  • Satoru Miyano
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 629)


A walk of an edge-colored undirected graph G is a path which contains all edges in G. We show an O(n log n) time algorithm for finding the smallest tree from a walk which allows the walk. If the alphabet of colors is fixed, the algorithm runs in O(n) time. Further, we consider the problem of finding the smallest tree from partial walks, where a partial walk of G is a path in G. We prove that the problem turns to be NP-complete. We also show that inferring the smallest linear chain from partial walks is NP-complete, while the problem of inferring the smallest linear chain from a single walk is known to be solvable in polynomial time.


Binary Relation Small Tree Linear Chain Vertex Cover Finite Alphabet 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Osamu Maruyama
    • 1
  • Satoru Miyano
    • 1
  1. 1.Department of Information SystemsKyushu University 39KasugaJapan

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