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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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How tree-based is my network? Proximity measures for unrooted phylogenetic networks

Discrete Applied Mathematics, 2020
Mareike Fischer, Andrew R Francis
exaly  

Nonbinary Tree-Based Phylogenetic Networks

IEEE/ACM Transactions on Computational Biology and Bioinformatics, 2018
Leo Van Iersel
exaly  

Tree-Based Unrooted Phylogenetic Networks

Bulletin of Mathematical Biology, 2017
Andrew R Francis, Vincent Moulton
exaly  

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