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 field of graph theory has been indubitably influenced by the study of planar graphs. This thesis, consisting of five chapters, is a historical account of the origins and development of concepts pertaining to planar graphs and their...
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...
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...
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...
A k-term quasi-progression of diameter d is a sequence {Xl,... ,xk} for which there exists a positive integer l such that l < Xi-Xi-1 < l+d, for all i = 2, ... ,k. Quasi-progressions may be thought of as arithmetic progressions with a certain...
A connected matching in a graph is a set of disjoint edges such that, for any pair of these edges, there is another edge of the graph incident to both of them. This dissertation investigates two problems related to finding large connected matchings...
We formulate an integro-difference model to predict the growth and spatial
spread of a perennial plant population with an age-structured seed bank. We allow
the seeds in the bank to be of any age, producing an infinite system of equations.
The...
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...
Accelerated life testing; Reliability (Engineering); Service life (Engineering)
This dissertation is focused on finding lower confidence limits for the reliability of systems consisting of Wei bull components when the reliability demonstration testing (RDT) is conducted with zero failures. The usual methods for the parameter...
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...
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....
An investigation was made into the relative costs of excavation retention by two systems: conventional soldier pile-wale-tieback support, and support by soil nailing. The investigation included design of excavation supports by the two...
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...
Alcohol; Distillation; Alcoholic beverages; Corn--Utilization; Whiskey industry
In the whisky industry there is a balance between the desire to adhere to the traditional production process and the desire to increase profit margins. One solution that follows both stipulations is to increase the alcohol yield of a given batch of...
Musical pitch--Data processing; Sound--Recording and reproducing--Digital techniques
Many mathematical formulas and algorithms exist to identify pitches formed by human voices, and this has continued to be popular in the fields of music and signal pro-cessing. Other systems and research perform real time pitch identification...
The website has become a staple in the business environment, to provide information and services, and connect business-to-business and business-to-customers. Many of these sites require re-engineering in order to facilitate the needed complexities...
Many important applications require the discovery of items which have occurred frequently. Knowledge of these items is commonly used in anomaly detection and network monitoring tasks. Effective solutions for this problem focus mainly on reducing...
A wireless sensor network consists of a large number of low-power nodes equipped with wireless radio. For two nodes not in mutual transmission range, message exchanges need to be relayed through a series of intermediate nodes, which is a process...
The fundamental question of the exact nature of the role played by TNF in the failing myocardium remains one of contention. Many preclinical studies have demonstrated beneficial effects with TNF antagonism and recently the dichotomous role played...
