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Now showing items 51-60 of 277

### k-star Decompositions of Lambda-Fold Complete Multipartite Graphs

(2008-09-09)

We examine the problem of k-star decompositions on lambda-fold complete multipartite
graphs. After a brief examination of the computational complexity issues involved, we
present complete proofs for necessary and sufficient ...

### Constructing Cubic Splines on the Sphere

(2009-07-15)

A method to approximate functions defined on a sphere using Tensor Product cubic B-splines is presented here. The method is based on decomposing the sphere into six identical patches obtained by radially projecting the ...

### Choice numbers, Ohba numbers and Hall numbers of some complete k-partite graphs

(2009-07-15)

The choice numbers of some complete k−partite graphs are found, after we resolved
a dispute regarding the choice number of K(4, 2, . . . , 2) when k is odd. Estimates of the
choice numbers and the Ohba numbers of K(m, ...

### Robust Methods for Functional Data Analysis

(2009-07-06)

Functional data consist of observed functions or curves at a finite subset of an interval. Each functional observation is a realization from a stochastic process. This thesis aims to develop suitable statistical methodologies ...

### Evading Triangles without a map

(2010-01-06)

We divise a heuristic which enables a traveler to traverse the plane from a start point S to a target point T while evading unknown obstacles. The obstacles are assumed to be equilateral triangles which are all translates ...

### A Study of Regularity and Normality

(2009-04-15)

This paper is a broad overview of the separation axioms, commonly known as the Hausdorff, Regular, and Normal axioms. After a review of basic definitions and lemmas, we proceed to certain examples and theorems dealing ...

### Intersection problem for the class of Reed-Muller codes.

(2009-07-28)

The intersection problem for Coding Theory can be stated as follows: given a family or class of
families of codes, find the spectrum of intersection numbers. The general strategy to attack
this kind of problem begins ...

### Indecomposable and Chainable Continua

(2009-07-31)

This thesis covers topics in continuum theory related to indecomposable continua and
chainable continua. Theorems are presented to characterize indecomposable continua and
then chainability is explored in its connection ...

### The Chromatic Number of the Euclidean Plane

(2009-08-03)

We discuss the chromatic number of the plane problem. We provide a detailed history
of its origins, along with some of the recent progress.

### A Brief Survey of Hyperspaces and a Construction of a Whitney Map

(2009-08-03)

This paper is a brief survey of hyperspaces of topological spaces. In particular, the hyperspace of all nonempty compact subsets of a space and the hyperspace of all nonempty subcontinua of a space with the Vietoris topology. ...