Other Physical Sciences and Mathematics Commons^™

The Four-Color Theorem And Chromatic Numbers Of Graphs, Sarah E. Cates

Undergraduate Theses and Capstone Projects

We study graph colorings of the form made popular by the four-color theorem. Proved by Appel and Haken in 1976, the Four-Color Theorem states that all planar graphs can be vertex-colored with at most four colors. We consider an alternate way to prove the Four-Color Theorem, introduced by Hadwiger in 1943 and commonly know as Hadwiger’s Conjecture. In addition, we examine the chromatic number of graphs which are not planar. More specifically, we explore adding edges to a planar graph to create a non-planar graph which has the same chromatic number as the planar graph which we started from.

Software Internationalization: A Framework Validated Against Industry Requirements For Computer Science And Software Engineering Programs, John Huân Vũ

Master's Theses

View John Huân Vũ's thesis presentation at http://youtu.be/y3bzNmkTr-c.

In 2001, the ACM and IEEE Computing Curriculum stated that it was necessary to address "the need to develop implementation models that are international in scope and could be practiced in universities around the world." With increasing connectivity through the internet, the move towards a global economy and growing use of technology places software internationalization as a more important concern for developers. However, there has been a "clear shortage in terms of numbers of trained persons applying for entry-level positions" in this area. Eric Brechner, Director of Microsoft Development Training, suggested …

The Security Printing Practices Of Banknotes, Corbin Nakamura

Graphic Communication

Counterfeit goods continue to undermine the value of genuine artifacts. This also applies to counterfeit banknotes, a significant counterfeit problem in today’s rapidly growing world of technology. The following research explores anti-counterfeit printing methods for banknotes from various countries and evaluates which are the most effective for eliminating counterfeit.

The research methods used in this study consists primarily of elite and specialized interviewing accompanied with content analysis. Three professionals currently involved in the security-printing industry were interviewed and provided the most current information about banknote security printing.

Conclusions were reached that the most effective security printing methods for banknotes rest …

Methods In Environmental Biotechnology For Environmentalists, Florentin Smarandache, W.B. Vasantha Kandasamy, S.R. Kannan, S. Ramathilagam

Branch Mathematics and Statistics Faculty and Staff Publications

The study of environmental pollution by chemicals used in agriculture as pesticide or as fertilizers or pollution caused by industries and chemical plants which use chemicals have not been analysed systematically. This book has five chapters. First chapter is introductory in nature. Here we just study chemical pollution caused by garment industries in chapter two of this book using fuzzy associative memories. In chapter three we give ways to control pollution by improving the system performance using hierarchical genetic fuzzy control algorithm. This study is carried out using the past data reported by Shimada et al (1995). Health hazards suffered …

Measurement Of Single Spin Asymmetries In Semi-Inclusive Deep Inelastic Scattering Reaction N↑(E, Éπ+)X At Jefferson Lab, Kalyan C. Allada

University of Kentucky Doctoral Dissertations

What constitutes the spin of the nucleon? The answer to this question is still not completely understood. Although we know the longitudinal quark spin content very well, the data on the transverse quark spin content of the nucleon is still very sparse. Semi-inclusive Deep Inelastic Scattering (SIDIS) using transversely polarized targets provide crucial information on this aspect. The data that is currently available was taken with proton and deuteron targets.

The E06-010 experiment was performed at Jefferson Lab in Hall-A to measure the single spin asymmetries in the SIDIS reaction n^↑(e,éπ^±/K^±)X using transversely polarized …

Measurement Of Single-Target Spin Asymmetries In The Electroproduction Of Negative Pions In The Semi-Inclusive Deep Inelastic Reaction N↑(E,Éπ¯)X On A Transversely Polarized 3he Target, Chiranjib Dutta

University of Kentucky Doctoral Dissertations

The experiment E06010 measured the target single spin asymmetry (SSA) in the semiinclusive deep inelastic (SIDIS) n↑(e,éπ¯)X reaction with a transversely polarized ³He target as an effective neutron target. This is the very first independent measurement of the neutron SSA, following the measurements at HERMES and COMPASS on the proton and the deuteron. The experiment acquired data in Hall A at Jefferson Laboratory with a continuous electron beam of energy 5.9 GeV, probing the valence quark region, with x = 0.13→0.41, at Q² = 1.31→3.1 GeV². The two contributing mechanisms to the measured asymmetry, viz, the …