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Constant Time Enumeration of Bounded-Size Subtrees in Trees and Its Application

  • Kunihiro Wasa
  • Yusaku Kaneta
  • Takeaki Uno
  • Hiroki Arimura
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7434)

Abstract

By the motivation to discover patterns in massive structured data in the form of graphs and trees, we study a special case of the ksubtree enumeration problem, originally introduced by (Ferreira, Grossi, and Rizzi, ESA’11, 275-286, 2011), where an input graph is a tree of n nodes. Based on reverse search technique, we present the first constant delay enumeration algorithm that lists all k-subtrees of an input tree in O(1) worst-case time per subtree. This result improves on the straightforward application of Ferreira et al’s algorithm with O(k) amortized time per subtree when an input is restricted to tree. Finally, we discuss an application of our algorithm to a modification of the graph motif problem for trees.

Keywords

Span Tree Parent Function Input Graph Family Tree Constant Delay 
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 2012

Authors and Affiliations

  • Kunihiro Wasa
    • 1
  • Yusaku Kaneta
    • 1
  • Takeaki Uno
    • 2
  • Hiroki Arimura
    • 1
  1. 1.ISTHokkaido UniversitySapporoJapan
  2. 2.National Institute of InformaticsTokyoJapan

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