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Phylogenetic Networks with Every Embedded Phylogenetic Tree a Base Tree

Bulletin of Mathematical Biology, 2015
We show that the class of tree-child networks is precisely the class of tree-based networks with the property that every embedded phylogenetic tree is a base tree.
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Phylogenetic tree-building

International Journal for Parasitology, 1996
Cladistic analysis is an approach to phylogeny reconstruction that groups taxa in such a way that those with historically more-recent ancestors form groups nested within groups of taxa with more-distant ancestors. This nested set of taxa can be represented as a branching diagram or tree (a cladogram), which is an hypothesis of the evolutionary history ...
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Phylogenetic Trees

2000
Abstract Phylogenetic analysis of DNA or protein sequences has become an important tool for studying the evolutionary history of organisms from bacteria to humans. Since the rate of sequence evolution varies extensively with gene or DNA segment (Wilson et al. 1977; Dayhoff et al.
Masatoshi Nei, Sudhir Kumar
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X-trees and phylogenetic trees

2003
Abstract Phylogenetic trees’ provide a standard graphical representation of evolutionary relation-ships in biology. However, from a mathematical perspective, it is natural to consider a slightly more general class of objects called ‘X-trees‘. Briefly, an X-tree is a finite tree in which some vertices (including all vertices of degree one
Charles Semple, Mike Steel
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Measuring Inconsistency in Phylogenetic Trees

Journal of Theoretical Biology, 1998
Suppose that we seek a tree T giving the phylogenetic relationships among the species in a set S. A common method selects for such a tree a maximum parsimony tree using the genome of the species in S. Suppose that K is a proper subset of S. Then T induces a tree U which gives the same relationships among the species in K but omits the species of S ...
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From Quartets to Phylogenetic Trees

1998
Constructing phylogenetic (or evolutionary) trees from biological data is a classical problem in biology, and it still is a major challenge today. Most realistic formulations of the problem, which take errors into account, give rise to hard computational problems. In this survey paper we concentrate on quartet based tree reconstruction methods.
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Comparison of Undirected Phylogenetic Trees Based on Subtrees of Four Evolutionary Units

Systematic Biology, 1985
F R Mcmorris   +2 more
exaly  

Counting Trees in a Phylogenetic Network Is \#P-Complete

SIAM Journal on Computing, 2013
Charles Semple   +2 more
exaly  

An algebraic metric for phylogenetic trees

Applied Mathematics Letters, 2009
Gabriel Cardona   +2 more
exaly  

Phylogenetic Tree

2008
J. Howard Frank   +93 more
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