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#### Theses/Dissertations from 2023

Enestr¨om-Kakeya Type Results for Complex and Quaternionic Polynomials, Matthew Gladin

#### Theses/Dissertations from 2022

John Horton Conway: The Man and His Knot Theory, Dillon Ketron

#### Theses/Dissertations from 2021

Functional Mixed Data Clustering with Fourier Basis Smoothing, Ishmael Amartey

Data Science and the Ice-Cream Vendor Problem, Makafui Azasoo

Constructions & Optimization in Classical Real Analysis Theorems, Abderrahim Elallam

Partially Oriented 6-star Decomposition of Some Complete Mixed Graphs, Kazeem A. Kosebinu

Performance Comparison of Multiple Imputation Methods for Quantitative Variables for Small and Large Data with Differing Variability, Vincent Onyame

The Food Truck Problem, Supply Chains and Extensions of the Newsvendor Problem, Dennis Quayesam

Manifold Learning with Tensorial Network Laplacians, Scott Sanders

Applying Deep Learning to the Ice Cream Vendor Problem: An Extension of the Newsvendor Problem, Gaffar Solihu

Zeta Function Regularization and its Relationship to Number Theory, Stephen Wang

#### Theses/Dissertations from 2020

Decompositions of the Complete Mixed Graph by Mixed Stars, Chance Culver

Trees with Unique Italian Dominating Functions of Minimum Weight, Alyssa England

Investigation of Multiple Imputation Methods for Categorical Variables, Samantha Miranda

An Analysis of the First Passage to the Origin (FPO) Distribution, Aradhana Soni

#### Theses/Dissertations from 2019

Roman Domination Cover Rubbling, Nicholas Carney

A Comparison of Standard Denoising Methods for Peptide Identification, Skylar Carpenter

Perfect Double Roman Domination of Trees, Ayotunde Egunjobi

Comparison of Imputation Methods for Mixed Data Missing at Random, Kaitlyn Heidt

Matrix Dynamic Models for Structured Populations, Md Sajedul Islam

Taking Notes: Generating Twelve-Tone Music with Mathematics, Nathan Molder

Robustness of Semi-Parametric Survival Model: Simulation Studies and Application to Clinical Data, Isaac Nwi-Mozu

Is Corequisite Developmental Math Effective at East Tennessee State University?, Christine Padden

Generalizations of the Arcsine Distribution, Rebecca Rasnick

Function Space Tensor Decomposition and its Application in Sports Analytics, Justin Reising

Period Estimation and Denoising Families of Nonuniformly Sampled Time Series, William Seguine

The Correlation Between the ACT, Inc. EXPLORE Test and Student Success in High School Advanced and Advanced Placement Mathematics Courses, Virginia Story

Hybrid Recommender Systems via Spectral Learning and a Random Forest, Alyssa Williams

#### Theses/Dissertations from 2018

Performance Comparison of Imputation Algorithms on Missing at Random Data, Evans Dapaa Addo

The 2-Domination Number of a Caterpillar, Presley Chukwukere

The Expected Number of Patterns in a Random Generated Permutation on [n] = {1,2,...,n}, Evelyn Fokuoh

Vector Partitions, Jennifer French

Italian Domination on Ladders and Related Products, Bradley Gardner

A Normal Form for Words in the Temperley-Lieb Algebra and the Artin Braid Group on Three Strands, Jack Hartsell

Developing Optimization Techniques for Logistical Tendering Using Reverse Combinatorial Auctions, Jennifer Kiser

Performance Assessment of The Extended Gower Coefficient on Mixed Data with Varying Types of Functional Data., Obed Koomson

Clustering Mixed Data: An Extension of the Gower Coefficient with Weighted L2 Distance, Augustine Oppong

Distribution of a Sum of Random Variables when the Sample Size is a Poisson Distribution, Mark Pfister

Italian Domination in Complementary Prisms, Haley D. Russell

A Study of Topological Invariants in the Braid Group B2, Andrew Sweeney

#### Theses/Dissertations from 2017

Peptide Identification: Refining a Bayesian Stochastic Model, Theophilus Barnabas Kobina Acquah

Roman Domination in Complementary Prisms, Alawi I. Alhashim

A Distribution of the First Order Statistic When the Sample Size is Random, Vincent Z. Forgo Mr

Application of Symplectic Integration on a Dynamical System, William Frazier

Differentiating Between a Protein and its Decoy Using Nested Graph Models and Weighted Graph Theoretical Invariants, Hannah E. Green

Inventory Optimization Using a SimPy Simulation Model, Lauren Holden

Modeling Student Enrollment at ETSU Using a Discrete-Time Markov Chain Model, Lohuwa Mamudu

Vertex Weighted Spectral Clustering, Mohammad Masum

On t-Restricted Optimal Rubbling of Graphs, Kyle Murphy

Denoising Tandem Mass Spectrometry Data, Felix Offei

Performance of Imputation Algorithms on Artificially Produced Missing at Random Data, Tobias O. Oketch

Graph Analytics Methods In Feature Engineering, Theophilus Siameh

Quantifying the Structure of Misfolded Proteins Using Graph Theory, Walter G. Witt

#### Theses/Dissertations from 2016

The Complete Structure of Linear and Nonlinear Deformations of Frames on a Hilbert Space, Devanshu Agrawal

Interchanging Two Notations for Double-torus Links, Stephen J. Barker

Neighborhood-Restricted Achromatic Colorings of Graphs, James D. Chandler Sr.

Newsvendor Models With Monte Carlo Sampling, Ijeoma W. Ekwegh

Multilevel Models for Longitudinal Data, Aastha Khatiwada

A Multi-Indexed Logistic Model for Time Series, Xiang Liu

Global Supply Sets in Graphs, Christian G. Moore

Comparison of Two Methods for Developing Aggregate Population-Based Models, Oyebola E. Oyero

Consensus Model of Families of Images using Tensor-based Fourier Analysis, Joel A. Shelton

Spatio-Temporal Analysis of Point Patterns, Abdul-Nasah Soale

Takens Theorem with Singular Spectrum Analysis Applied to Noisy Time Series, Thomas K. Torku

An Algorithm for the Machine Calculation of Minimal Paths, Robert Whitinger

#### Theses/Dissertations from 2015

Predicting Intraday Financial Market Dynamics Using Takens' Vectors; Incorporating Causality Testing and Machine Learning Techniques, Abubakar-Sadiq Bouda Abdulai

The Apprentices' Tower of Hanoi, Cory BH Ball

The Number of Zeros of a Polynomial in a Disk as a Consequence of Coefficient Inequalities with Multiple Reversals, Derek T. Bryant

A Hierarchical Graph for Nucleotide Binding Domain 2, Samuel Kakraba

Distance-2 Domatic Numbers of Graphs, Derek Kiser

Exploring Ways of Identifying Outliers in Spatial Point Patterns, Jie Liu

Revised Model for Antibiotic Resistance in a Hospital, Ruhang Pei

Comparison of Two Parameter Estimation Techniques for Stochastic Models, Thomas C. Robacker

On Properties of r_{w}-Regular Graphs, Franklina Samani

#### Theses/Dissertations from 2014

Are Highly Dispersed Variables More Extreme? The Case of Distributions with Compact Support, Benedict E. Adjogah

Properties of Small Ordered Graphs Whose Vertices are Weighted by Their Degree, Constance M. Blalock

Bipartitions Based on Degree Constraints, Pamela I. Delgado

Time Series Decomposition Using Singular Spectrum Analysis, Cheng Deng

Physiologically-Based Pharmacokinetic Model for Ertapenem, Whitney Forbes

Some New Probability Distributions Based on Random Extrema and Permutation Patterns, Jie Hao

Permutation Groups and Puzzle Tile Configurations of Instant Insanity II, Amanda N. Justus

Mathematical Modeling of Immune Responses to Hepatitis C Virus Infection, Ivan Ramirez

Very Cost Effective Domination in Graphs, Tony K. Rodriguez

The Number of Zeros of a Polynomial in a Disk as a Consequence of Restrictions on the Coefficients, Brett A. Shields Mr.

Analyses of 2002-2013 China’s Stock Market Using the Shared Frailty Model, Chao Tang

Comparison of Different Methods for Estimating Log-normal Means, Qi Tang

#### Theses/Dissertations from 2013

Universal Cycles for Some Combinatorial Objects, Andre A. Campbell

A Variety of Proofs of the Steiner-Lehmus Theorem, Sherri R. Gardner

Extremal Results for Peg Solitaire on Graphs, Aaron D. Gray

Limit Cycles and Dynamics of Rumor Models, Geophrey Otieno Odero Mr.

Level Crossing Times in Mathematical Finance, Ofosuhene Osei

A Mathematical Model for Antibiotic Resistance in a Hospital Setting with a Varying Population, Edward H. Snyder

Restricted and Unrestricted Coverings of Complete Bipartite Graphs with Hexagons, Wesley M. Surber

Very Cost Effective Partitions in Graphs, Inna Vasylieva

Peg Solitaire on Trees with Diameter Four, Clayton A. Walvoort

Packings and Coverings of Complete Graphs with a Hole with the 4-Cycle with a Pendant Edge, Yan Xia

#### Theses/Dissertations from 2012

Nested (2,r)-regular graphs and their network properties., Josh Daniel Brooks