Physical Sciences and Mathematics Commons^™

Graph Products And Covering Graph Imbeddings, Ghidewon Abay Asmerom

Dissertations

No abstract provided.

On Distance In Graphs And Digraphs, Songlin Tian

Dissertations

One of the most basic concepts associated with a graph is distance. In this dissertation some new definitions of distance in graphs and digraphs are introduced. One principle goal is to extend certain known results involving the standard distance function on graphs to the field of digraphs with an appropriate concept of distance. Several parameters as well as subgraphs and subdigraphs defined in terms of distance are investigated.

Chapter I gives a brief overview of the history of distance and generalized distance in graphs. By presenting a listing of major results in this area, it provides a background for the …

The Enumeration Of Graph Imbeddings, Robert G. Rieper

Dissertations

Graphs can be drawn on surfaces. Here, graphs may have multiple edges or loops (pseudographs), the surfaces are closed orientable 2-manifolds (sphere, torus, etc.) and their generalizations (pseudosurfaces and generalized pseudosurfaces), and the drawings are 2-cell imbeddings. For quite some time it has been known that a connected graph has $\rm \Pi(degree(\upsilon)-1)$! 2-cell imbeddings on surfaces. More detailed information about these imbeddings has been wanting. In addition, many of the imbeddings counted above 'look the same' when all vertex and edge labels are removed. The resulting unlabeled imbeddings are fewer in number and more difficult to enumerate than their labeled …

Enumerating The Orientable 2-Cell Imbeddings Of Complete N-Partite Graphs, Bruce P. Mull

Dissertations

This dissertation develops formulas for the number of congruence classes of maps of complete, complete bi-partite, complete tripartite, and complete n-partite graphs; these congruence classes correspond to unlabeled imbeddings. The method employed for the enumeration is an extension of that used by Mull, Rieper, and White in 1988. We let the automorphism group act on the set of rotations and use Burnside's Lemma to count orbits for these rotations. Compatible permutations are introduced to determine those automorphisms actually contributing to the number of orbits.

The complete n-partite formula is shown to generalize those of the other three families of graphs. …

The Effects Of Crosslinking On The Stability And Autoxidation Rate Of Human Hemoglobin A, Thao Yang

Dissertations

No abstract provided.

¹⁷O And ³³S Nuclear Magnetic Resonance Studies Of Some Selected Sulfonates: Concentration And Solvent Dependence, Telitha M. Murray

Dissertations

No abstract provided.

Palladium (Ii) Catalyzed Oxidation, Isomerization And Exchange Of Olefins Allylic Alcohols And Allylic Ethers In Water And Methanol Solvents, John Wayne Francis

Dissertations

No abstract provided.

Substituent Effects On The Stereochemistry Of 1,3-Dipolar Cycloadditions To 7-Substituted Norbornadienes, Ramakrishnan Subramanian

Dissertations

No abstract provided.

4-(Phenylsulfonyl) Butanoic Acid: Preparation, Dianion Generation, And Application To Four Carbon Chain Extension ; Studies Of Organophosphorus Compounds Derived From Serine, Jeffrey A. Frick

Dissertations

No abstract provided.

Multinuclear Magnetic Resonance Studies Of Arenesulfonates: Substituent, Concentration, Counterion, And Solvent Effects, David C. French

Dissertations

No abstract provided.

The Chromatic Sum And Efficient Tree Algorithms, Ewa Kubicka

Dissertations

In Chapter I this concept is introduced. It is shown that computing the chromatic sum is NP-complete. For every natural k the smallest tree which needs k colors to attain its chromatic sum is constructed. It is demonstrated that asymptotically, for each k, almost all trees require more than k colors to achieve their chromatic sums. Also a linear algorithm for a single tree is presented.

In Chapter II three constructions of graphs that require t colors beyond their chromatic number k to achieve their chromatic sum are presented, depending on the ratio ${\rm t}\over{\rm k}$. The order of the …

Measures Of Partial Association Based On Rank Estimates, Sudhakar H. Rao

Dissertations

No abstract provided.

Greatest Common Subgraphs, Grzegorz Kubicki

Dissertations

No abstract provided.

Specified Subgraphs And Subgraph-Defined Parameters In Graphs, Karen S. Holbert

Dissertations

No abstract provided.

Coefficients Of Multiple Determination Based On Rank Estimates, Lee D. Witt

Dissertations

No abstract provided.

Rotoreflected Double-Beam Thermal Lens Spectrometry And Simultaneous Thermal Lens And Fluorescence Detection For High Performance Microbore Liquid Chromatography, Steven Craig Hall

Dissertations

No abstract provided.

Multinuclear Magnetic Resonance Studies Of Lithium Binding And Transport In Human Erythrocytes, Maryceline Tiausas Espanol

Dissertations

No abstract provided.

Binding And Transport Properties Of Lithium In Red Cells From Hypertensive Patients And Normotensive Controls, Ravichandran Ramasamy

Dissertations

No abstract provided.

Synthesis And Study Of N-(4-Nitrobenzofurazan)-Monoaza-18-Crown-6: A Metal Sensitive Fluorophore, Shelley A. Krause

Dissertations

No abstract provided.

Structural And Functional Studies Of The Plant Lectin Peanut Agglutinin, Eugene J. Zaluzec

Dissertations

No abstract provided.

Synthesis Of N And C Nucleosides Via Cycloaddition Reactions A New Approach To An Old Problem, Glenn L. Heise

Dissertations

No abstract provided.

Effect Of Computer Graphics Use On Student Understanding Of Calculus Concepts, Charlene E. Beckmann

Dissertations

Student understanding of selected calculus concepts as developed through use of a Cartesian coordinate graphical representation system were investigated. Subjects (N = 163) enrolled in first-semester calculus sections at Western Michigan University participated in one of four treatment conditions: Graphics (G), exposure to a computer-graphically-developed conceptual course; Graphics Plus (G+), exposure to the same course as G subjects plus provision of computer graphics software and related supplemental assignments; Standard 1 (S1), exposure to a graphically-developed, conceptual course; and Standard 2 (S2), exposure to a traditional skill-oriented course.

Two investigations were undertaken. In Investigation 1, comparisons were made between G and …

The Development Of A Personalized Computer Assisted School Psychology (Casp) System, Patricia Lou Steinert

Dissertations

The purpose of this project was to develop a model computer system to assist school psychologists in managing and manipulating data accumulated in the course of accomplishing their professional responsibilities. School psychologists have traditionally generated large amounts of data, but rarely have they looked across these data to obtain information and/or feedback about their own functioning relative to their professional role. The system described is intended as a model from which an individual psychologist might construct a system to meet individual needs. Data across students were accumulated in four broad areas: (1) personal effectiveness/accountability, (2) diagnosis, (3) local test norms, …

Generalized Distance In Graphs, Garry L. Johns

Dissertations

No abstract provided.

Graph And Directed Graph Augmentation Problems, Zhuguo Mo

Dissertations

No abstract provided.

Regioselectivity In The Cyclization Of Delta, Epsilon-Epoxy Esters, William F. Prout

Dissertations

No abstract provided.

Effect Of Polymerization Conversion On The Experimental Determination Of Monomer Reactivity Ratios In Copolymerization, Sevim Zeynep Erhan

Dissertations

In this study the comparison of the methods used to calculate monomer reactivity ratios from experimental copolymer composition data is targeted.

For this purpose, nine samples of each of nine different concentrations of styrene-methyl methacrylate monomer mixtures were prepared. These mixtures were then polymerized for different times ranging from one to nine hours and the percent conversion to copolymer was determined.

The compositions of these copolymers were determined by their refractive index increments measured in two different solvents. Ultraviolet absorption spectroscopy was also studied as a possible method to find copolymer compositions. Though this method has been used previously, UV …

Investigation Of The Synthesis And Polymerization Behavior Of Vinyl Benzoate, Selim Mehmet Erhan

Dissertations

The goal of this study is to present a method that gives higher conversions and molecular weights for the polymerization of vinyl benzoate than obtained in previous investigations.

Polyvinyl benzoate has benzene rings attached to the backbone chain, therefore is hard and rigid. This is a characteristic which has a large application area. However previous studies in polymerizing vinyl benzoate with bulk and solution polymerizations reported low yields and troublesome crosslinking, which has limited its application. Emulsion polymerization method has the advantage of giving high polymerization rates together with high molecular weights, and therefore was chosen as the method for …

Robust Rank Analysis For Multivariate Linear Models, James Buddy Davis

Dissertations

Three robust rank procedures are considered to test the multivariate linear hypothesis HBK = 0. In the least squares setting, the Lawley-Hotelling trace criterion provides a UMP when the covariance structure is known. Our work reflects the theoretical structure of the Lawley-Hotelling test with robust rank analogues.

The Lawley-Hotelling test has an asymptotic chi-square distribution when the covariance structure is estimated. The trace criterion can be written in three algebraically equivalent forms: a quadratic test based on full model estimates, a quadratic test based on reduced model residuals and a test based on the drop in the least squares dispersion …

Molecular Properties Of Cetiedil And Its Interactions With Human Erythrocytes, Chakravarthy Narasimhan

Dissertations

No abstract provided.