UVicSpace

# Department of Mathematics and Statistics

## Recent Submissions

• (2020-01-03)
Let G = (V,E) be a graph and f be a function such that f : V -> {0,1,2,..., k}. Let V_f^+ = {v : f(v) > 0}. If for every vertex v not in V_f^+ there exists a vertex w in V_f^+ such that d(v,w) ≤ f(w) then f is called ...
• (2020-01-02)
This thesis is partitioned into three parts: improving pre-calculus skills of students in an introductory calculus course, the game of Cops and Robber on oriented graphs, and the generalized game of Cops and Robber. In the ...
• (2019-12-20)
Let v ∈ Z+ and G be a simple graph. A G-decomposition of Kv is a collection F={F1,F2,...,Ft} of subgraphs of Kv such that every edge of Kv occurs in exactlyone of the subgraphs and every graph Fi ∈ F is isomorphic to G. A ...
• (2019-10-03)
The movement of tropical cyclones (TC) is studied numerically based on a two-dimensional barotropic model, using a previously developed non-oscillatory balanced scheme. The model of TC used here takes an exponential form, ...
• (2019-08-29)
The usual graph parameters related to independent and dominating sets can be adapted to broadcasts on graphs. We examine some possible definitions for an inde- pendent broadcast. We determine the minimum maximal and the ...
• (2019-08-29)
Chordal graphs are an important class of perfect graphs. The beautiful theory surrounding their study varies from natural applications to elegant characterizations in terms of forbidden subgraphs, subtree representations, ...
• (2019-08-27)
Let G = (V,A,E) be a mixed graph and co : V → {1, 2,...,λ} a function such that co is a proper colouring of the underlying graph, Und(G), and co(u) ≠ co(y) when co(v) = co(x), for every pair of arcs (u,v) and (x,y). Such ...
• (2019-08-27)
This thesis presents an algorithm for producing 4–manifold triangulations with boundary an arbitrary orientable, closed, triangulated 3–manifold. The research is an extension of Costantino and Thurston’s work on determining ...
• (2019-08-20)
We study construction methods for variance balanced design (VBD) with both uncorrelated and correlated errors, where block designs are used to investigate several treatment effects. We begin with a review for the development ...
• (2019-07-16)
We study two problems. The first concerning ergodic properties of measures on $\S^{\Z}$ such that $\mu_{\A,t}[x_{0}\cdots x_{n-1}]\approx e^{-nP}\norm{A_{x_{0}}\cdots A_{x_{n-1}}}^{t}$ where $\A=(A_{0},\ldots, A_{M-1})$ ...
• (2019-05-29)
This thesis presents research focused on developing statistical methods with emphasis on tools that can be used for the analysis of data in neuroimaging studies and cognitive science. The first contribution addresses the ...
• (2019-05-22)
In this thesis, we study a two fluid system which describes the motion of two charged particles in a strict neutral incompressible plasma. We study the well-posdness of the system in both space dimensions two and three. ...
• (2019-05-02)
The goal of this thesis is to give an introduction to the geometric picture of bivariant K-theory developed by Emerson and Meyer building on the ideas Connes and Skandalis, and then to apply this machinery to give a geometric ...
• (2019-04-24)
In models for networks of regulatory interactions in biological molecules, the sigmoid relationship between concentration of regulating bodies and the production rates they control has lead to the use of continuous time ...
• (2018-11-09)
Minimax robust designs are studied for regression models with possible misspecified response functions. These designs, minimizing the maximum of the mean squared error matrix, can control the bias caused by model ...
We consider the curved N-body problem, N > 2, on a surface of constant Gaussian curvature κ ≠ 0; i.e., on spheres S2κ, for κ > 0, and on hyperbolic manifolds H2κ, for κ < 0. Our goal is to define and study relative equilibria, ...
• (2018-07-25)
A load moving on a floating ice sheet produces a deflection of the ice sheet. In this Dissertation, three problems associated with mathematical models of the ice water system are examined. A mathematical model involving ...
• (2018-07-23)
In this thesis, we first review the current development of optimal regression designs under the second-order least squares estimator in the literature. The criteria include A- and D-optimality. We then introduce a new ...
• (2018-07-12)
'Attractor' neural network models have useful properties, but biology suggests that more varied dynamics may be significant. Even the equations of the Hopfield network, without the constraint of symmetry, can have complex ...
• (2018-05-07)
In this dissertation, we study certain types of linear mappings on triangular algebras. Triangular algebras are algebras whose elements can be written in the form of 2 x 2 matrices [special characters omitted]where a ∈ A, ...