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Honors Theses from 2017

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TP and TN Completability of Border Patterns, Haoge Chang

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Saving Babies Using Big Data, Evan Dienstman

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Center Manifold Theory and Computation Using a Forward Backward Approach, Emily E. Schaal

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Involutions and Total Orthogonality in Some Finite Classical Groups, Gregory K. Taylor

Honors Theses from 2016

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Growing Networks with Positive and Negative Links, Corynne Smith Dech

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Row and Column Distributions of Letter Matrices, Xiaonan Hu

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Relaxed Coloring of Sparse Graphs, Michael C. Kopreski

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Computing All Isolated Invariant Sets at a Finite Resolution, Martin Salgado-Flores

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Normal Matrices Subordinate to a Graph, Morrison Turnansky

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Graph packing with constraints on edges, Fangyi Xu

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(Un)Stable Manifold Computation via Iterative Forward-Backward Runge-Kutta Type Methods, Dmitriy Zhigunov

Honors Theses from 2015

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On the Non-Symmetric Spectra of Certain Graphs, Owen Hill

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Relaxation of Planar Graphs With d∆≥2 and No 4-Cycles, Heather A. Hoskins

Honors Theses from 2014

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Local Zeta Functions over p-Adic Fields, Stephen P. Cameron

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Basins of Attraction for Pulse-Coupled Oscillators, Ryan Gryder

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Combinatorially Derived Properties of Young Tableaux, James R. Janopaul-Naylor

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Nonlinear Models of Zooplankton Communities, Catherine King

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Linear and Nonlinear Trees: Multiplicity Lists of Symmetric Matrices, Eric Wityk

Honors Theses from 2013

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A Population Density Model of Domain Calcium-Mediated Inactivation of L-Type Ca Channels, Kiah Hardcastle

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Statistical Inference Based on Upper Record Values, Daniel J. Luckett

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On Almost Normal Matrices, Tyler J. Moran

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Finding Open Locating Dominating Sets on Infinite and Finite Graphs, Allison Oldham

Honors Theses from 2012

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Synchronous Oscillatory Solutions in a Two Patch Predator-Prey Model, Matthew H. Becker

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A Model for Blue Crab Population in the Chesapeake Bay, Timothy J. Becker

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Global Dynamics of Pulse-Coupled Oscillators, Allison Leslie Corish

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Strongly Real Conjugacy Classes of the Finite Unitary Group, Zach Gates

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The Laplacian on Isotropic Quantum Graphs: Solutions and Applications, Patrick King

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Finding the Minimum Randic Index, Sarah Joyce Kunkler

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Analysis and Simulation of an Optimal Control Model of an Oyster Population Displaying an Allee Effect, Timothy Raymond McDade

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Perfect Partitions of Some (0,1)-Matrices, Jeffrey Soosiah

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Permutations with Extremal Routings on Cycles, Luis Alejandro Valentin

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Circadian Oscillations of the Intestinal Stem Cell Lineage, Brian Waldman

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Fixed Points of Pick and Stieltjes functions: A Linear Algebraic Approach, Nicholas Andrew Woods

Honors Theses from 2011

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Factoring Banded Permutations and Bounds on the Density of Vertex Identifying Codes on the Infinite Snub Hexagonal Grid, Chase A. Albert

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A New Lower Bound on the Minimum Density of Vertex Identifying Codes for the Infinite Hexagonal Grid, Ariel J. Cukierman

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Poles and Zeros of Generalized Carathéodory Class Functions, Yael Gilboa

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Topological Characterization of Extinction in a Coupled Ricker Patch Model, Benjamin Robert Holman

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Persistent Activity in Assortative Networks of Integrate and Fire Neurons, Matthew D. Peppe

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Basins of Attraction in Stage Structured Populations, Georgia Waite Pfeiffer

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Critical Exponents: Old and New, Olivia J. Walch

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Solution Theory for Systems of Bilinear Equations, Dian Yang

Honors Theses from 2010

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Mathematical and Numerical Analysis of Coupled Nonlinear Schrödinger Equations, Michael Christopher Essman

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Preservers of Eigenvalue Inclusion Sets, Aaron Herman

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Bistability in Differential Equation Model of Oyster Population and Sediment Volume, William Crowell Jordan-Cooley

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The Dynamical Behavior of a Two Patch Predator-Prey Model, Yuanyun Liu

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The Maximum Cut Problem: Investigating Computational Approaches, Austin Powell

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Understanding and Minimizing Flight Delay, Patrick Robert Steele

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Finding a Sparse Solution of a Linear System with Applications to Coding Theory and Statistics, Andrew Gordon Wilcox

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Equitable and Defective Coloring of Sparse Graphs, Harold Lee Williams II

Honors Theses from 2009

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Box-Counting Dimension and Beyond, Kassie Archer

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A Study Of Multiplicative Preservers, Sean Ian Clark

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Modeling the Effects of Harvesting on Virginia's Black Bear Population, David William Gould

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Three Pool Model of Calcium Signaling, Daniel Hariprasad

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The Set of All Countable Ordinals: An Inquiry into Its Construction, Properties, and a Proof Concerning Hereditary Subcompactness, Jacob Hill

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Investigating Computational Aspects of the Coincidence Condition for Substitutions of Pisot Type, Brian Paljug

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Braid Groups and Evolution Algebras, Carolyn Elaine Troha

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Mutualism between Clownfish and Sea Anemones: A Computational Model, Elizabeth Carroll Truelove

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Reproduction Rate Strategies in White-Footed Mice, Niha Zubair

Honors Theses from 2008

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A Study of Genetic Code by Combinatorics and Linear Algebra Approaches, Tanner Jennings Crowder

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Multiplicity Lists for Classes of Hermitian Matrices whose Graph is a Certain Tree, Paul McMichael

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A Survey of Social Choice Failures: Majority and Borda Rules, Lauren Nicole Merrill

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Trees and the Implicit Construction of Eigenvalue Multiplicities, Jonathan Nuckols