## Search

Now showing items 1-9 of 9

#### The structure of 3-connected matroids of path width three

(University of Canterbury, 2005)

A 3-connected matroid M is sequential or has path width 3 if its ground set E(M) has a sequential ordering, that is, an ordering (e₁, e₂, ... , ek) such that ({e₁,e₂, .. ,,ek}, {ek+₁,ek+₂, .. ,,en}) is a 3-separation for ...

#### Fast computation of compatibility for phylogenies with nested taxa

(University of Canterbury, 2005)

Typically, supertree methods combine a collection of source trees in which just the leaves are labelled by taxa. In such methods the resulting supertree is also leaf-labelled. An underlying assumption in these methods is ...

#### Quartet compatibility and the quartet graph

(University of Canterbury. Dept. of Mathematics and Statistics, 2005)

A collection P of leaf-labelled trees is compatible if there exists a single leaf-labelled tree that displays each of the trees in P. Despite its
difficulty, determining the compatibility of P is a fundamental task in ...

#### Negative correlation in graphs and matroids

(University of Canterbury. Dept. of Mathematics and Statistics, 2005)

The following two conjectures arose in the work of Grimmett
and Winkler, and Pemantle: the uniformly random forest F and
the uniformly random connected subgraph C of a finite graph G have
the edge-negative-association ...

#### Detecting changes in mean levels with atheoretical regression trees.

(University of Canterbury. Dept. of Mathematics and Statistics, 2005)

In this paper the study of long term changes in lake mean water levels is faced as
a problem of detecting multiple structural breaks in the mean occurring at unknown
dates. We propose a non parametric approach that ...

#### A characterization of Newton maps.

(University of Canterbury. Department of Mathematics and Statistics, 2005)

Conditions are given for a l map T to be a Newton map, that is, the map associated with a differentiable real-valued function via Newton's method. For finitely
differentiable maps and functions, these conditions can ...

#### Hybrids in real time

(University of Canterbury, 2005)

We describe some new and recent results that allow for the analysis and representation of reticulate evolution by non-tree networks. In particular we (1) present a simple result to show how there is always a well-defined ...

#### The structure of the 3-separations of 3-connected matroids II

(University of Canterbury. Dept. of Mathematics and Statistics, 2005)

The authors showed in an earlier paper that there is a tree that displays, up to a natural equivalence, all non-trivial 3-separations of a 3-connected matroid. The purpose of this paper is to show that if certain natural ...

#### Modelling populations with a case study on orange roughy in New Zealand

(University of Canterbury. Mathematics and Statistics, 2005)

The dynamics of mathematical models used for modelling populations will be investigated. Mathematical models have many applications, these will be mentioned throughout the paper. Mathematical models are particularly useful ...