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Now showing items 41-50 of 161

### Phenomenal Three-Dimensional Objects

(2011-03-29)

Original thesis project: By studying the literature, collect and write a survey paper on special three-dimensional polyhedra and bodies. Read and understand the results, to which these polyhedra and bodies are related.
Although ...

### Rank-Based Regression for Nonlinear and Missing Response Models

(2012-07-09)

This dissertation is mainly concerned with the rank-based estimation of model parameters in complex regression models: a general nonlinear regression model and a semi-parametric regression model with missing responses. For ...

### Upper Bounds on the Coarsening Rates for Some Non-Conserving Equations

(2012-08-02)

In this thesis, we prove one-sided bounds on the coarsening rates for two models of
non-conserved curvature driven dynamics by following a strategy developed by Kohn and
Otto in [20].
In the rst part, we analyze the ...

### Security, (F,I)-security, and Ultra-security in Graphs

(2012-08-02)

Let G=(V,E) be a graph and S a subset of V. The notion of security in graphs was first presented by Brigham et al [3]. A set S is secure if every attack on S is defendable. The cardinality of a smallest secure set of G ...

### Nim on Graphs

(2012-08-02)

Winning strategies for the Game of Nim on Graphs are discussed. Graphs considered are distinguished from those previously studied in that they may have loops. Winning strategies are found for graphs that have loops and ...

### Path Decompositions of the Kneser Graph

(2013-04-22)

Necessary and sufficient conditions are given for the existence of a graph decomposition of the Kneser Graph $KG_{n,2}$ into paths of length three and four, and of the Generalized Kneser Graph $GKG_{n,3,1}$ into paths of ...

### Mathematics Behind Planimeters

(2013-06-18)

Original master thesis project: By studying the literature, collect and write a survey
paper on the mathematics of the planimeters. Planimeter is a somewhat forgotten ingenious
device which was invented in 1814 to satisfy ...

### Maximum and minimum degree in iterated line graphs

(2013-06-13)

In this thesis we analyze two papers, both by Dr. Stephen G. Hartke and
Dr. Aparna W. Higginson, on maximum and minimum degrees of a graph $G$ under iterated line graph
operations. Let $\Delta_{k}$ and $\delta_{k}$ denote ...

### The Metamorphosis of 2-fold Triple Systems into Maximum Packings of 2Kn with 4-cycles

(2011-04-27)

The graph is called a hinge. A hinge system of order n is a pair (X, H) where H is a collection of edge disjoint hinges which partition the edge set of 2Kn with vertex set X. Let (X, H) be a hinge system and D the collection ...

### Spatial Spread and Front Propagation Dynamics of Nonlocal Monostable Equations in Periodic Habitats

(2011-07-25)

This dissertation is concerned with spatial spread and front propagation dynamics of
monostable equations with nonlocal dispersal in spatially periodic habitats. Such equations
arise in modeling the population dynamics ...