On Identifying Tree-Structured Perfect Maps

  • Christian Borgelt
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2821)


It is well known that tree-structured perfect maps can be uniquely identified by computing a maximum weight spanning tree with mutual information providing the edge weights. In this paper I generalize the edge evaluation measure by stating the conditions such a measure has to satisfy in order to be able to identify tree-structured perfect maps. In addition, I show that not only mutual information, but also the well-known χ 2 measure satisfies these conditions.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Christian Borgelt
    • 1
  1. 1.Dept. of Knowledge Processing and Language EngineeringSchool of Computer Science, Otto-von-Guericke-University of MagdeburgMagdeburgGermany

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