Now showing items 1-5 of 5
Unicyclic Networks: Compatibility and Enumeration
(University of Canterbury. Mathematics and Statistics., 2006)
Graphs obtained from a binary leaf labelled (‘phylogenetic’) tree by adding an edge so as to introduce a cycle provide a useful representation of hybrid evolution in molecular evolutionary biology. This class of graphs ...
Bounding the Number of Hybridisation Events for a Consistent Evolutionary History
(University of Canterbury. Mathematics and Statistics., 2005)
Four characters suffice to convexly define a phylogenetic tree
(University of Canterbury. Mathematics and Statistics, 2005)
It was recently shown that just five characters (functions on a finite set X) suffice to convexly define a trivalent tree with leaf set X. Here we show that four characters suffice which, since three characters is not ...
Counting Ancestral Reconstructions in a Fixed Phylogeny
(University of Canterbury. Mathematics and Statistics, 2008)
We give formulas for calculating in polynomial time the number of ancestral reconstructions for a tree with binary leaf- and root labels for each number of 0 → 1 and 1 → 0 arcs. For trees of fixed degree, the corresponding ...
Tree reconstruction via a closure operation on partial splits
(Springer-VerlagUniversity of Canterbury. Mathematics and Statistics., 2001)
A fundamental problem in biological classi cation is the reconstruction of phylogenetic trees for a set X of species from a collection of either subtrees or qualitative characters. This task is equivalent to tree reconstruction ...