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Extracting conflict-free information from multi-labeled trees.

Deepak A, Fernández-Baca D, McMahon MM - Algorithms Mol Biol (2013)

Bottom Line: 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.In the experiments, the maximally reduced form is often much smaller than the original tree, yet retains most of the taxa.

View Article: PubMed Central - HTML - PubMed

Affiliation: Department of Computer Science, Iowa State University, Ames, Iowa, USA. akshayd@iastate.edu.

ABSTRACT

Background: 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.

Results: 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.

Conclusions: Our measure of conflict-free information content based on quartets is simple and topologically appealing. In the experiments, the maximally reduced form is often much smaller than the original tree, yet retains most of the taxa. The reduction algorithm is quadratic in the number of leaves and its complexity is unaffected by the multiplicity of leaf labels or the degree of the nodes.

No MeSH data available.


Related in: MedlinePlus

A MUL-tree. Numbers in parenthesis next to labels indicate the multiplicity of the respective labels and are not part of the labels themselves.
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Figure 1: A MUL-tree. Numbers in parenthesis next to labels indicate the multiplicity of the respective labels and are not part of the labels themselves.

Mentions: Multi-labeled trees, also known as MUL-trees, are phylogenetic trees that can have more than one leaf with the same label[1-5] (Figure1). MUL-trees arise naturally and frequently in data sets containing multiple gene sequences for the same species[6], but they can also arise in biogeographical studies or co-speciation studies where leaves represent individual taxa yet are labeled with their areas[7] or hosts[8].


Extracting conflict-free information from multi-labeled trees.

Deepak A, Fernández-Baca D, McMahon MM - Algorithms Mol Biol (2013)

A MUL-tree. Numbers in parenthesis next to labels indicate the multiplicity of the respective labels and are not part of the labels themselves.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC3716922&req=5

Figure 1: A MUL-tree. Numbers in parenthesis next to labels indicate the multiplicity of the respective labels and are not part of the labels themselves.
Mentions: Multi-labeled trees, also known as MUL-trees, are phylogenetic trees that can have more than one leaf with the same label[1-5] (Figure1). MUL-trees arise naturally and frequently in data sets containing multiple gene sequences for the same species[6], but they can also arise in biogeographical studies or co-speciation studies where leaves represent individual taxa yet are labeled with their areas[7] or hosts[8].

Bottom Line: 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.In the experiments, the maximally reduced form is often much smaller than the original tree, yet retains most of the taxa.

View Article: PubMed Central - HTML - PubMed

Affiliation: Department of Computer Science, Iowa State University, Ames, Iowa, USA. akshayd@iastate.edu.

ABSTRACT

Background: 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.

Results: 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.

Conclusions: Our measure of conflict-free information content based on quartets is simple and topologically appealing. In the experiments, the maximally reduced form is often much smaller than the original tree, yet retains most of the taxa. The reduction algorithm is quadratic in the number of leaves and its complexity is unaffected by the multiplicity of leaf labels or the degree of the nodes.

No MeSH data available.


Related in: MedlinePlus