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Covering tree with stars

  • Max-Planck Institute for Informatics
  • University of Southern Denmark
  • Saarland University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations

Abstract

We study the tree edit distance problem with edge deletions and edge insertions as edit operations. We reformulate a special case of this problem as Covering Tree with Stars (CTS): given a tree T and a set of stars, can we connect the stars in by adding edges between them such that the resulting tree is isomorphic to T? We prove that in the general setting, CST is NP-complete, which implies that the tree edit distance considered here is also NP-hard, even when both input trees having diameters bounded by 10. We also show that, when the number of distinct stars is bounded by a constant k, CTS can be solved in polynomial time by presenting a dynamic programming algorithm running in time.

Original languageEnglish
Title of host publicationComputing and Combinatorics - 19th International Conference, COCOON 2013, Proceedings
Pages373-384
Number of pages12
DOIs
StatePublished - 2013
Externally publishedYes
Event19th International Computing and Combinatorics Conference, COCOON 2013 - Hangzhou, China
Duration: 21 Jun 201321 Jun 2013

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume7936 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference19th International Computing and Combinatorics Conference, COCOON 2013
Country/TerritoryChina
CityHangzhou
Period21/06/1321/06/13

Keywords

  • NP-completeness
  • dynamic programming
  • graph algorithms
  • tree edit distance

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