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...
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 advent of larger storage spaces, affordable digital capturing devices, and an ever growing online community dedicated to sharing images has created a great need for efficient analysis methods. In fact, analyzing images for the purpose of...
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...
Optimal trajectory generation is an essential part for robotic explorers to execute the total exploration of deep oceans or outer space planets while curiosity of human and technology advancements of society both require robots to search for...
To manage large image databases, Content-Based Image Retrieval (CBIR) emerged as a new research subject. CBIR involves the development of automated methods to use visual features in searching and retrieving. Unfortunately, the performance of most...
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...
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...
This dissertation addresses two different problems: 1) coronal loop detection from solar images: and 2) salient contour group extraction from cluttered images. In the first part, we propose two different solutions to the coronal loop detection...
This study explores four economic development theories – classical location theory, human capital theory, agglomeration economies theory and creative cities theory, and their effectiveness in explaining the spatial distribution of high tech...
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 Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. A quarter of the first two pages of this issue is missing as well as significant other portions. The following six pages...
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. This issue says Vol. 16. No. 18. but is actually Vol. 16. No. 20. This issue is twelve pages. The four page Gravure...
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. This issue says Vol. 18. No. 46. but is actually Vol. 18. No. 52. Pages seven and eight of this issue are missing.
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. There is a tear down the center of each page of this issue.
Many businesses have poor IT infrastructure and are in need of a major overhaul. University of Louisville Properties (ULP), in particular, needed the ability to share files between staff, backup data, secure data, and eliminate viruses and malware....
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. Pages five and six are missing from this issue.
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....
The Louisville Leader was an African-American newspaper published from 1917 to 1950 by I. Willis Cole in Louisville, Kentucky. Large portions are missing from each page of this issue.
