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 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...
A careful perusal of Shakespeare’s works leads to one outstanding conclusion. Shakespeare was preeminently interested in words, as such. His every play shows a painstaking attention to words in their various shades of meaning. It is our interest...
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...
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...
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...
Shelley, Percy Bysshe, 1792-1822--Criticism and interpretation
The most striking quality of Shelley's poetry meets our attention once, in the play of ever-changing emotion through his lines. When he called himself "A pard-like Spirit beautiful and swift," he characterized the spirit of his poetry,...
Rapid Electrokinetic Patterning (REP) is a relatively new method for collecting and manipulating micrometer-scale particles at an electrode surface. REP is an AC electrokinetic technique that uses induced fluid motion to capture and manipulate...
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...
African American soldiers--History--18th century; United States--History--War of 1812--Participation, African American; Great Britain. Corps of Colonial Marines--African Americans
This research will address several key historical realities overlooked in reference to African Americans during the War of 1812. One, that African Americans played a significant role in the successes of United States military conflicts during the...
A new procedure has been developed for determining
the location of the source of certain EEG discharges
given the measured surface potentials. The
source is modeled as a single current dipole with arbitrary
position and orientation, while the head...
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...
This thesis is an investigation into the world of sixteenth-century Venice, encompassing a group of female portraits by artist Palma Vecchio. I utilized many primary and secondary sources concerning Renaissance society, including several which...
Guthrie, James, 1792-1869; Kentucky--Officials and employees; Kentucky--Politics and government--19th century
James Guthrie, like any man, may be considered as a private individual, as a participant in the economic activities of his time, and as a citizen. Of Guthrie’s personal life little is known besides the barest biographical outline. His business...
The Y family of DNA polymerases in higher eukaryotes contains at least four members which are implicated in potentially error-prone replication through unrepaired damage in the genome. These proteins are encoded by the REV1, POLH, POLI, and POLK...
Spinal cord injury (SCI) can be divided into two distinct stages, an initial mechanical impact and a later "secondary injury" resulting from a cascade of cytokines triggering a spreading demyelination and apoptosis of neurons and glia...
Three-dimensional imaging in medicine; Lungs--Cancer--Diagnosis
Many lung diseases or injuries can cause biomechanical or material property changes that can alter
lung function. While the mechanical changes associated with the change of the material properties
originate at a regional level, they remain largely...
St. Irene (Church : Istanbul, Turkey); Irene, Empress of the East, 752?-803; Constantine V Copronymus, Emperor of the East, 718-775; Apses (Architecture)--Turkey--Istanbul; Art patronage--Turkey--Istanbul--History--8th century
The mosaic of the cross in the apse of Hagia Eirene in Constantinople is examined in order to determine the imperial patron responsible for it's construction. Key points in this study are Orthodox image veneration, Iconoclast doctrine and the...
