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Now showing items 81-90 of 280

### 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 Peano Continuum which is Homogeneous but not Bihomogeneous

(2008-09-09)

The author describes in detail the construction of a Peano continuum which is homogeneous and non-bihomogeneous. This continuum was originally constructed by G. Kuperberg in the paper Another homogeneous, non-bihomogeneous ...

### A Comparison of Two Proofs of Yamamoto's Theorem Relating Eigenvalue Moduli and Singular Values of a Matrix

(2008-09-09)

We examine two proofs of Yamamoto’s theorem regarding the asymptotic relationship
between singular values and eigenvalue moduli of a matrix. The first proof is by T.
Yamamoto in 1967 and makes use of compound matrices. ...

### Triangle Centers and Kiepert's Hyperbola

(2008-09-09)

In this paper, we discuss the proofs of the primary classical triangle centers and Kiepert's Hyperbola as a solution to Lemoine's Problem. The definitions of terms which will be used throughout the paper are presented. ...

### 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 ...