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The Generalized Robinson-Foulds Metric

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Book cover Algorithms in Bioinformatics (WABI 2013)

Part of the book series: Lecture Notes in Computer Science ((LNBI,volume 8126))

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Abstract

The Robinson-Foulds (RF) metric is arguably the most widely used measure of phylogenetic tree similarity, despite its well-known shortcomings: For example, moving a single taxon in a tree can result in a tree that has maximum distance to the original one; but the two trees are identical if we remove the single taxon. To this end, we propose a natural extension of the RF metric that does not simply count identical clades but instead, also takes similar clades into consideration. In contrast to previous approaches, our model requires the matching between clades to respect the structure of the two trees, a property that the classical RF metric exhibits, too. We show that computing this generalized RF metric is, unfortunately, NP-hard. We then present a simple Integer Linear Program for its computation, and evaluate it by an all-against-all comparison of 100 trees from a benchmark data set. We find that matchings that respect the tree structure differ significantly from those that do not, underlining the importance of this natural condition.

This work is supported in part by the National Institutes of Health under grant R01 HG006677.

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Böcker, S., Canzar, S., Klau, G.W. (2013). The Generalized Robinson-Foulds Metric. In: Darling, A., Stoye, J. (eds) Algorithms in Bioinformatics. WABI 2013. Lecture Notes in Computer Science(), vol 8126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40453-5_13

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  • DOI: https://doi.org/10.1007/978-3-642-40453-5_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-40452-8

  • Online ISBN: 978-3-642-40453-5

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