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...
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...
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...
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...
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...
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 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...
This dissertation deals with various imidazole compounds with emphasis on hydrogen bond interactions and weaker intermolecular forces. New amide functionalized polyimidazole metal binding pockets are able to form intramolecular six-membered...
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...
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...
For complex classification systems, data is usually gathered from multiple sources of information that have varying degree of reliability. In fact, assuming that the different sources have the same relevance in describing all the data might lead to...
African Americans; Jefferson County Public Schools; School board members; School boards; School superintendents; School boards--African American membership; Busing (School integration); School integration; Public schools; Race relations
Oral history interview with Lyman T. Johnson, conducted on March 24, 1982 by Dwayne Cox. Mr. Johnson discusses his tenure on the Louisville/Jefferson County board of education in the late 1970s. He discusses the challenges of merging the city and...
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...
African Americans; African American churches; African American single mothers ; African American teenage mothers; Nursing homes; Nursing home administrators; People's Baptist Church (Louisville, Ky.); Single mothers; Teenage marriage; Teenage...
Oral history interview conducted on May 9, 1979 with Frances Smith by Mary Bobo. Mrs. Smith, a former nursing home owner and administrator discusses her childhood in Russellville, Kentucky, moving to Louisville at age twelve to tend to an aunt,...
The role of mothers, the constitution of families, and the power of their stories are the bedrock of my thesis, which is the first 90 pages of a novel entitled Playing House . In it, I hope to investigate the denotation and connotation of the words...
In this novella, a young girl wakes to discover she has lost her voice and that
people can no longer hold their secrets back from her. Tasked with offering them
absolution through listening, she must also deal with the increasing toll bearing...
African Americans; African Americans--Education; African American newspapers; Louisville Leader (Ky.); Kentucky Reporter (Louisville, Ky.); Louisville Municipal College for Negroes (Louisville, Ky.); Mammoth Life and Accident Insurance Co....
Oral history interview with Lattimore Cole conducted on November 26, 1977 by Dwayne Cox. In this interview, Mr. Cole discusses his early education in Louisville, working for his father’s newspaper the Louisville Leader and describes what it was...
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....
In this dissertation research, we aim to solve problems of two types of survival data, clustered survival data with potentially informative cluster size and sojourn time data. The methods for these two types of data are different. However, both...
Missing data is very common in survey research. However, currently few guidelines exist with regard to the diagnosis and remedy to missing data in survey research. The goal of this thesis was to investigate properties and effects of three selected...
