Physical Sciences and Mathematics Commons^™

The Chromatic And Cochromatic Number Of A Graph, John Gordon Gimbel

Dissertations

Clearly, there are many ways that one can partition the vertex sets of graphs. In the first chapter of this work I examine the problem of determining, for a given graph, the minimum order of a vertex partition having specified properties. In the remaining chapters I concentrate on partitions of two types--those in which each subset induces an empty graph and those in which each subset induces an empty or a complete graph.

The chromatic number of a graph G is the minimum number of subsets into which V(G) can be partitioned so that each subset induces an empty graph. …

The Relationship Of Self-Concept, Sex, Age, Major, Anxiety, Mathematics Background, And Mathematics Ability To The Level Of Mathematics And Statistical Anxiety Among College Juniors, David John Maysick

Dissertations

Problem. One's choice of career has significant effect upon one's future life in terms of earning potential and social interaction. Mathematics/statistical anxiety and the mathematics avoidance often accompanying such anxiety, can influence career choice, causing otherwise talented people to limit their future. The purpose of this study was to determine from selected variables--particularly self-concept--which, if any, were related to the problem of mathematics and/or statistical anxiety.

Method. The statistical sample used was 350 juniors. Stratification was by degree of mathematics content in subject's major field of study. For the study, subjects had to be in the same major category as …

On Isomorphic Decompositions Of Graphs, Sergio Ruiz

Dissertations

A decomposition of a nonempty graph G is a collection of subgraphs G(,1), G(,2), ... , G(,k) of G such that their edge sets form a partition of the edge set of G. If G(,i) is isomorphic to a fixed graph H for each i, then G has an isomorphic decomposition into the graph H or, equivalently, G is H-decomposable. Several topics, each concerning isomorphic decompositions, are investigated in this dissertation.

An historical introduction to the subject of isomorphic decompositions is given in Chapter I. We also present there some new information on finding regular graphs that are H-decomposable for …

Parameter Optimization Using A Hierarchical System Of Learning Automata, Brian T. Mitchell

Dissertations

Many problems in adaptive control, pattern recognition, filtering, identification, and artificial intelligence can be viewed as parameter optimization problems. The learning automation approach to these problems has two distinct advantages over the classic hill climbing methods: (1) the parameter space need not be metric and (2) a global rather than local optimum can be found. Unfortunately, these advantages do not come without corresponding difficulties, namely the problem of high dimensionality. A hierarchical system of learning automata has been used to reduce this problem somewhat, but inefficiencies still remain since the current hierarchical system was balanced and static hierarchical learning automaton …

Kinetics And Mechanism Of Acylation Of Amines With 2-Naphthoyl Azide, Abraham L. Faburada

Dissertations

The reaction of 2-naphthoyl azide with primary and secondary amines in protic and aprotic solvents follows second-order kinetics. The effect of increasing solvent polarity is shown to increase the rate of reaction. For amines of similar basicity, the rate of reaction decreases with increasing steric hindrance on the amine. The changes in free energy and entropy of activation for n-butylamine and cyclohexylamine are in accord with steric requirements of amines. For amines of similar steric hindrance, the rate of reaction increases with increasing amine basicity. The mechanism of addition-elimination involving the formation of a tetrahedral intermediate is consistent with the …

Kinetics Of Ternary Complex Formation Reactions Of The Nickel(Ii) Complexes Of Ethylenediaminediacetate And Triethylenetetramine With Bidentate Donors, Lawrence H. Kolopajlo

Dissertations

The stopped-flow technique was used to measure rate constants for ternary complex formation involving both NiEDDA and Ni(trien)('2+), and bidentate donors. The reactions of both NiEDDA and Ni(trien)('2+) with bipy, phen, en, and sar were studied. In addition the reaction of NiEDDA and gly was studied. The reactions were of the first-order with respect to either nickel complex, and with respect to enH('+), bipy, and phen. The reactions involving phen and bipy were independent of pH and were reversible. The formation rate constants for the systems containing diamine reactants are as follows:

(DIAGRAM, TABLE OR GRAPHIC OMITTED...PLEASE SEE DAI)

For …

Determination Of Organophosphorus Compounds By Hplc With Post-Column Photochemical Degradation Followed By The Formation Of Reduced Heieropolymolybdate, Stephen R. Priebe

Dissertations

A novel method for the determination of organophosphorus (OP) compounds by HPLC with post-column photochemical and chemical derivatization reactions has been developed. The OP compounds eluted from the column were photochemically degraded to orthophosphate by the use of a 450 W xenon lamp in conjunction with an auxiliary photodegradation reagent. The photodegradation reaction was studied extensively by means of batch irradiations with triethylphosphate as a model compound. The effects of the initial concentrations of triethylphosphate and ammonium peroxydisulfate, and of varying the pH of the reaction medium were determined. A survey of potential interferences was performed. Copper(II) ion was found …

Random Factors And Isofactors In Graphs And Digraphs, John Frederick Fink

Dissertations

A factor is a spanning sub(di)graph of a (di)graph. Factors that are generated by an algorithm that incorporates an element of randomness are often called random factors. An isofactor is essentially a factor G that is either empty or for which there exists a connected regular (di)graph H having a nontrivial G-factorization. Several topics, each concerning random factors or isofactors, are investigated in this dissertation. An historical introduction to these topics is given in Chapter I.

In Chapter II we define an antipath and say that a digraph is randomly antitraceable if every nonspanning antipath can be extended (at its …

Micellarly Catalyzed Reaction Of Substituted Benzohydroxamic Acids, Nop Utrapiromsuk

Dissertations

The rate constants for hydrolysis of ten derivatives of benzohydroxamic acid, namely, p-H, p-CH(,3), m-CH(,3), p-CH(,3)CH(,2), p-OCH(,3), p-NO(,2), p-Cl, and m-Cl, in 0.160 and 0.158 M HCl at 67.9-68.2(DEGREES)C without and with sodium 1-dodecanesulfonate were determined. There is a good linear correlation between log k(,w) and the Hammett substituent constants, (sigma), for all para and meta derivatives where k(,w) is the rate constant in the bulk aqeous phase. In the presence of micelles all the compounds, except the meta-nitro derivative, followed the standard pseudophase model of micellar catalysis. However, correlations of log k(,m) or log K/N, where k(,m) is the …

Ground-Water Flow Along The Total Shoreline Of Austin Lake And Its Environmental Contribution To Pollution Of The Lake, William Thomas Williams

Dissertations

The vertical direction of ground-water flow in Austin Lake was determined by placing minipiezometers along the entire shoreline at fifty randomly selected sites. Ground-water samples were taken at each site and the specific conductivity of the water samples was determined along with the chloride and phosphate content. The data were analyzed to determine if there were any relationships among water movement, chemical content, and the presence or absence of an onshore septic tank. The minipiezometer data show that the primary direction of water movement through the sediment-water interface is downward but may become reversed at localized regions as conditions vary. …

Storm-Sewer Input Of Heavy Metals Into An Urban Lake Environment, George A. Duba

Dissertations

The purpose of this study was to measure the concentration of lead, cadmium, zinc and copper in runoff entering an urban lake ecosystem and to measure the distribution of these metals in selected tropic levels of the lake.

Fisk Lake was chosen as the study site and is located in East Grand Rapids, Michigan. Samples were collected of stormwater, rainwater and lakewater together with substrate, aquatic macrophytes Peltandra virginica, chironomid larvae, Chironomidae, snails Physa, and eight species of fish, Ictalurus nebulosus, Esox lucius, Lepomis gibbosus, L. macrochirus, Pomoxis nigromaculatus, Micropterus salmoides, Catostomus commersoni, and Perca flavescens. All samples were collected …

Stereochemistry And Circular Dichorism Of Some Cobalt(Iii) Complexes With Ethylenediamine-N, N’-Diacetic Acid And N, N'-Dimethylethylenediamine-N ,N'-Diacetic Acid, Godfrey Chinenye Mbah

Dissertations

Two series of complexes trans-{Co(LL')EDDA}('+) and trans-{Co(LL')DMEDDA}('+), LL' = Meen, 2-Mepn, udmeen, sdmeen, R-dmepn were prepared. EDDA was reacted with cobalt(II) carbonate and the resulting solution combined with the diamine of choice. For the DMEDDA complexes the ligand DMEDDA was first prepared by adding neutralized chloroacetic acid to sdmeen and precipitating out the ligand as the barium salt. The DMEDDA complexes were prepared by reacting the barium salt first with cobalt(II) sulfate and then with the diamines listed above except udmeen. The DMEDDA complexes with R-pn were also prepared. For both series the oxidation of the Co(II) to Co(III) was …

Uniform Factorizations Of Graphs, David Burns

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No abstract provided.

Traceability In Graphs, Ronald J. Gould

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No abstract provided.

Preparation And Properties Of Benzotropones And Benzohomotropones, Robert E. Suder

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No abstract provided.

Markovian Multiserver Queueing Systems With Servers In Series, Nancy Jean Boynton

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No abstract provided.

A Computer Simulation Study Of Seven Pairwise Comparison Procedures: Imbalanced Case, Wayne S. Petroelje

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No abstract provided.

On A System Of Nonlinear Ordinary Differential Equations With An Irregular Type Singularity: A Degenerate Case, Jerome John Przybylski

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No abstract provided.

Partitions Of The Vertex Set Or Edge Set Of A Graph, H. Joseph Straight

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No abstract provided.

Proximity Effects. Kinetics, Mechanisms And Reactivity Correlations For The Acidic And Alkaline Hydrolysis Of Ortho-Substituted-N-Methylbenzohydroxamic Acids, Irl E. Ward

Dissertations

No abstract provided.

On Ramsey Numbers Defined By Factorizations Of Regular Complete Multi-Partite Graphs, James M. Benedict

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No abstract provided.

Cayley Graph Imbeddings And The Associated Block Designs, Brian L. Garman

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No abstract provided.

A Comparison Of The Kuder Richardson Formula 20 And Kappa As Estimates Of The Reliability Of Criterion-Referenced Tests, Judith E. Moyer

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No abstract provided.

The Effect Of Stabilizing Groups On The Extent Of Long-Range Π Electron Participation And The Effect Of The Negative Charge On The Chemical Shift Of Neighboring Protons In Carbanions, Atilla Tuncay

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No abstract provided.

A Study Of Selected Variables For Prediction Of Success And Placement In General Chemistry At Western Michigan University, Stephen M. Yekeson

Dissertations

Chapter I

The Problem

Introduction

The traditional philosophy that a college-or a university is an exclusive institution in which only highly selected individuals receive a concentrated training in the traditional liberal arts no longer exists. In America, for instance, as early as 1870, Harvard, the colonial college with a narrow curriculum, was transformed rather rapidly into a modern university with many new subjects and the elective system (Garrett, 1949). Also, since 1642, when the first entrance requirements were instituted for American higher education, a continuing debate has developed over what constitutes a sound curriculum for education. There are those who …

A Stereochemical Study Of Some 2,2'-Bridged Biphenyls, Alan J. Quarfoot

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No abstract provided.

Symmetric Maps Of S^3 Onto A Homotopy 3-Sphere, Kenneth P. Johnson

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No abstract provided.

Self-Dual Embeddings Of Graphs, Saul Stahl

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No abstract provided.

Indegrees, Outdegrees, And The Hamiltonian Theme, John Roberts

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No abstract provided.

Asymmetric Induction In Grignard Reactions In A Chiral Solvent, John E. Davis

Dissertations

No abstract provided.