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 revolution in information technology and the explosion in the use of computing devices in people's everyday activities has forever changed the perspective of the data mining and machine learning fields. The enormous amounts of easily...
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...
The facility layout problem is a combinatorial optimization problem that involves determining the location and shape of various departments within a facility based on inter-department volume and distance measures. An optimal solution to the problem...
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...
Heuristic; Production management; Personnel management--Data processing
The Naval Surface Warfare Center wishes to create a task assignment schedule
with a minimal training cost for workers to raise their skills to the required levels. As the
number of workers, skills, and tasks increase, the problem quickly becomes...
Preventive maintenance is a broad term that encompasses a set of activities aimed at improving the overall reliability and availability of a system. Preventive maintenance involves a basic trade-off between the costs of conducting...
We study a sensor location problem that minimizes the total number of sensors to install at road intersections in a transportation network so that the traffic flows on the entire network are uniquely determined. We employ the concepts of hidden...
Parkinson's disease--Treatment; Stem cells--Therapeutic use
Parkinson's disease (PD) is a hypokinetic movement disorder resulting from the
progressive neurodegeneration of the dopaminergic nigrostriatal system in the brain and
the resulting imbalance between dopamine and acetylcholine in the basal ganglia...
Chronic periodontitis is strongly associated with composition of the oral biofilm
occupying the gingival crevicular aspect of the tooth and its associated root. Some gram-negative,
"red complex" bacteria instigate periodontal bone loss in...
A common problem faced by most organizations in today's world is one of worker-task assignments. Assigning a large number of complex tasks to workers at various training levels can be a complicated process which has the potential to cost or to save...
Our research activities are based on the catalytic systems that provide resource-saving synthetic methodologies through gold-catalyzed reactions of alkynes and alkenes. We have worked on three applications: i) an effective and straightforward...
Recent advances in high throughput methodologies offer researchers the ability to understand complex systems via high dimensional and multi-relational data. One example is the realm of molecular biology where disparate data (such as gene sequence,...
Pattern recognition systems; Cluster analysis; Data mining
Despite the large number of existing clustering methods, clustering remains a challenging task especially when the structure of the data does not correspond to easily separable categories, and when clusters vary in size, density and shape. Existing...
Hematite synthesized by low pressure oxygen plasma has been shown previously to exhibit promising characteristics as a photo-anode for a photoelectrochemical water splitting cell. It is cheap, stable and has a 2.1 eV bandgap and exhibits a...
Recent studies indicate post-translational deacetylation by members of the superfamily of histone deacetylase complexes (HDACs) is necessary for oligodendrocyte precursor cell (OPC) differentiation into mature oligodendrocytes (OLs). However, it...
The immune system is of profound importance for host survival due to its ability to clear many acquired diseases. In case of infections and cancer, disease arises due to under-performance of immune system. Whereas in autoimmunity and...
Hepatocellular carcinoma (HCC) is the fifth most common cancer worldwide and the third most fatal, with a rising incidence in the US as a result of the increase in alcoholic liver disease and obesity. Current therapeutic strategies are...
Influenza--United States--Management; Epidemics--Management; Health services administration; Mathematical optimization
Pandemic influenza has been an important public health concern. During the 20th century, three major pandemics of influenza occurred in 1918, 1957, and 1968. The pandemic of 1918 caused 40 to 50 million deaths worldwide and more than 500,000 deaths...
