2012 | OriginalPaper | Buchkapitel
Extracting Conflict-Free Information from Multi-labeled Trees
verfasst von : Akshay Deepak, David Fernández-Baca, Michelle M. McMahon
Erschienen in: Algorithms in Bioinformatics
Verlag: Springer Berlin Heidelberg
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A multi-labeled tree, or MUL-tree, is a phylogenetic tree where two or more leaves share a label, e.g., a species name. A MUL-tree can imply multiple conflicting phylogenetic relationships for the same set of taxa, but can also contain conflict-free information that is of interest and yet is not obvious. We define the information content of a MUL-tree
T
as the set of all conflict-free quartet topologies implied by
T
, and define the maximal reduced form of
T
as the smallest tree that can be obtained from
T
by pruning leaves and contracting edges while retaining the same information content. We show that any two MUL-trees with the same information content exhibit the same reduced form. This introduces an equivalence relation among MUL-trees with potential applications to comparing MUL-trees. We present an efficient algorithm to reduce a MUL-tree to its maximally reduced form and evaluate its performance on empirical datasets in terms of both quality of the reduced tree and the degree of data reduction achieved.