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Now showing items 31-40 of 161

### The Inverse Domination Number Problem, DI-Pathological Graphs, and Fractional Analogues

(2010-04-20)

The conjecture that $\alpha(G) \geq \gamma'(G)$ is unproven where $\alpha(G)$ is the vertex independence number and $\gamma'(G)$ is the inverse domination number of a simple graph G. We have found the conjecture to be true ...

### Constructive Aspects for the Generalized Orthogonal Group

(2010-04-28)

Our main result is a constructive proof of the Cartan-Dieudonn\'{e}-Scherk Theorem in the real or complex fields. The Cartan-Dieudonn\'{e}-Scherk Theorem states that for fields of characteristic other than two, every ...

### On the Conjugacy Theorems of Cartan and Borel Subalgebras

(2010-04-09)

We study the conjugacy theorems of Cartan subalgebras and Borel
subalgebras of general Lie algebras. We present a history of the problem, along with two proofs of the theorems which stay completely within the realm of ...

### A Generalization of Special Atom Spaces with Arbitrary Measure

(2010-12-08)

A brief historical account of the development of special atom spaces is presented followed
by the introduction of two new function spaces, A ( ; ) and B ( ; ), which are generalizations
of previous special atom spaces ...

### K4-e Designs with a Hole

(2010-07-27)

In this paper we look at K4 − e designs on Kw−v + v. We settle the case when w and v
are of the same parity.

### On Continuously Urysohn Spaces

(2010-08-03)

We study the properties of weakly continuously Urysohn (denoted by wcU ) and continuously
Urysohn (denoted by cU ) spaces. The class of continuously Urysohn spaces is known to contain the class of metrizable,submetrizable, ...

### Applications of Stationary Sets in Set Theoretic Topology

(2010-11-10)

The notion of a stationary subset of a regular cardinal, a set which intersects any closed unbounded subset of that cardinal, is a useful tool in investigating certain properties of topological spaces. In this paper we ...

### Thin-Type Dense Sets and Related Properties

(2010-04-07)

Dense sets in topological spaces may be thought of as those which are ubiquitous. We discuss dense sets in product spaces which also have a thin-type property, making them in some sense rare or spread out. Thin-type ...

### C4-Factorizations with Two Associate Classes

(2010-04-29)

Let $K = K(a,p;\lambda_{1},\lambda_{2})$ be the multigraph with: the number of vertices in each part equal to $a$; the number of parts equal to $p$; the number of edges joining any two vertices of the same part equal to ...

### Rank Based Methods for Repeated Measurement Data

(2011-05-16)

This dissertation considers rank based methods for one sample and two sample repeated measurement data. As a specific example, in Chapter 2, this dissertation considers nonparametric tests for selective predation. ...