Outerplanar graphs are planar graphs that have a plane embedding in which each vertex lies on the boundary of the exterior region. An outerplanar graph is maximal outerplanar if the graph obtained by adding an edge is not outerplanar. Maximal...
The Combinatorial Nullstellensatz can be used to solve certain problems in combinatorics. However, one of the major complications in using the Combinatorial Nullstellensatz is ensuring that there exists a nonzero monomial. This dissertation looks...
The classification of self-dual codes has been an extremely active area in
coding theory since 1972 [33]. A particularly interesting class of self-dual codes
is those of Type II which have high minimum distance (called extremal or...
Computer arithmetic; Computer arithmetic and logic units; Computer algorithms
This research evaluates an innovative binary adder design and compares it against five standard adder designs. It begins with an algorithmic description of the five standard designs followed by the innovative design. It uses two metrics, speed and...
Given a metric space (K, d), the hyperspace of K is defined by H(K) = {F c K: F is compact, F ≠ 0}. H(K) is itself a metric space under the Hausdorff metric dH. Hyperspaces have been extensively studied by topologists since the 1970's, but the...
Nonparametric statistics; Estimation theory; Distribution (Probability theory)
Multistate models are a type of multi-variate survival data which provide a framework for describing a complex system where individuals transition through a series of distinct states. This research focuses on nonparametric inference for general...
Images, Photographic--Databases; Image processing--Digital techniques; Data mining; Cluster analysis
The performance of content-based image retrieval systems has proved to be inherently constrained by the used low level features, and cannot give satisfactory results when the user's high level concepts cannot be expressed by low level features. In...
In a nonlocally compact Polish abelian group G, we will consider two notions of smallness of subsets of G. Those subsets of G which are topologically small are said to be meager, and those which are measure-theoretically small are Haar null. We...
The objective of this thesis is to develop computer programs for the dynamic analysis of structures. For a shear building two computer programs were developed: (1) Dynamic Analysis of a Shear Building within the Elastic Range and (2) the Dynamic...
The synthesis of the methyl thioperoxide-bridged dimolybdenum(V) dimer, [Mo2(NTo)2(S2P(OEt)2)2S(O2CMe)(SOMe)], was improved and the compound was structurally characterized by crystallography. The compound proved to be very stable to light and heat....
Three main theorems due to Fenichel are fundamental tools in the exploration
of geometric singular perturbation theory. This expository paper attempts
to provide an introduction to the concepts stated in Fenichel's theorems and provide
illustrative...
The area of total coloring is a more recent and less studied area than vertex and edge coloring, but recently, some attention has been given to the Total Coloring Conjecture, which states that each graph's total chromatic number xT is no greater...
From a computerized image analysis prospective, early diagnosis of lung cancer involves detection of doubtful nodules and classification into different pathologies. The detection stage involves a detection approach, usually by template matching,...
A common research interest in medical, biological, and engineering research is determining whether certain independent variables are correlated with the survival or failure times. Standard statistical techniques cannot usually be applied for...
Medical records--Data processing; Data mining; Medical care--Data processing; Coronary heart disease--Treatment
The goal of this study is to use a data mining framework to assess the three main treatments for acute myocardial infarction: thrombolytic therapy, percutaneous coronary intervention (percutaneous angioplasty), and coronary artery bypass surgery....
Understanding the nucleation and early stage growth of crystals from the vapor phase is important for realizing large-area single-crystal quality films, controlled synthesis of nanocrystals, and the possible discovery of new phases of materials....
Cerium dioxide or ceria, CeO2, has been widely used in industry as catalyst for automotive exhaust controls, chemical mechanical polishing (CMP) slurries, and high temperature fuel cells because of its unique metal oxide properties. This well-known...
Radio frequency allocation; Wireless communication systems
Recently, the need for wireless and mobile communications has grown tremendously and it is expected that the number of users to be supported will increase with high rates in the next few years. Not only the number of users, but also the required...
Marginal inference for waiting times in multi-stage time-to-event models is complicated by right censoring of observations as well as the prior history of events in the model. In general, complications arise due to the evolution of the censoring...
Standard regularity assumptions for regression models are not satisfied in segmented regression models with an unknown change point, and consequently standard asymptotic results and inferential methods for confidence estimation are not applicable....
