Now showing items 51-60 of 279
k-star Decompositions of Lambda-Fold Complete Multipartite Graphs
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
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
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
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
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
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.
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
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
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
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. ...