## Recent PhD Graduates

**2012**

John Estes (Wei, Staton), May 2012

Dissertation title: On *k*-Trees and Special Classes of *k*-Trees

2010

Torina Lewis (Reid), December 2010

Dissertation title: Bicircular Matroids with Circuits of at Most Two
Sizes

Adam Gray (Reid), August, 2010

Dissertation title: Clone Arcs in Matroids and Projective Spaces

James Shook (Wei), August, 2010

Dissertation title: Hamilton Cycles, Paths and Centers of Chordal Graphs
**
** Cuilan Gao (Dang), May, 2010

Dissertation title: Graph Ranking by Kernelized Spatial Depth Functions, with Applications

**2009
**Justin Spencer (Staton)

Dissertation title: On the Hereditary Degree Repetition Index of a Graph

Lyrial Chism (Staton)

Dissertation title: On Independence Polynomials and Independence Equivalence
in Graphs

Michelle Cradock (Bu)

Dissertation title: Reflexivity and the Grothendieck Property for Positive
Tensor Products of Banach Lattices

Loni Delaplane (Wu)

Dissertation title: Connectivity and Characteristic Polynomials of Binary
Matroids

Lanzhen Song (Staton)

Dissertation title: Independence Polynomials of k-Tree Related and Well-covered
Graphs

**2008**

Joshua Hanes (Denley), Mississippi Unversity for Women

Dissertation title: Distance Graphs on the Integers

Brian Lai (Bu & Buskes), University of South Carolina, Salkehatchie

Dissertation title: The Radon-Nikodym Property for Positive Tensor Products
of Banach Lattices

**2007**

Latonya Garner (Peng), Mississippi Valley State University

Dissertation title: A Partially Exchangeable Model with Applications
to Correlated Binary Data

Leslie Horton (Staton), Delta State University

Dissertation title: Enumerations of Independent Sets in Graphs

Emlee Nicholson (Wei), Winthrop University

Dissertation title: Long Cycles and Paths Containing k-Ordered Vertices
in Graphs

**2006**

Joe Anderson (Wu), Mississippi Valley State University

Dissertation title: 3-Connected Binary Matroids and Graphs

Sankar Bokka (Mathur)

Dissertation title: Statistical Tests for the Identification of Differentially
Expressed Genes

Carla Cotwright ( Reid), Hampton University

Dissertation title: Clones and Minors in Matroids

Brian Davis (Labuda), Tusculum College, Tennessee

Dissertation title: Generalized Compactness and Applications

Sam Dolo (Mathur)

Dissertation title: A Nonparametric Test for Scale in Univariate Population
Setup

Stephanie Keeton (Peng), FDA

Dissertation title: The Semiparametric Exchangeable Model and Its Applications

Pamela Smith (Mathur), Millsaps and Hinds Community College

Dissertation title: An Efficient Nonparametric Test for Bivariate Two-Sample
Location Problem

Bryan Williams (Reid), Hampton University

Dissertation title: Large Circuit Pairs in Matroids

Adrian Wilson (Paterson), University of Montevallo

Dissertation title: Graph Groupoids and Their Topology

**2005**

Jaromy Kuhl (Denley), West Florida University

Dissertation title: On Completing and Avoiding Partial Latin Squares

Robert Page (Buskes), Framingham State College, Vermont

Dissertation title: On Bilinear Maps of Order Bounded Variation

Gibson Johnston Rayner (Peng)

Dissertation title: The Exchangeable Negative Binomial Distribution
and Its Applications

Alice Sanford (Staton), University of Mississippi

Dissertation title: Cycle Spectra, Automorphic Uniqueness, and Isomorphism

Benton Tyler (Staton), University of Montevallo

Dissertation title: Tilings and Packings of n-Dimensional Cubes

**2003**

Amy Welch (Paterson), Applied Research Associates, Inc.

Dissertation title: Tychonoff's Theorem and the Metric Topology of Path
Spaces

Nolan McMurray Jr. (Reid), University of North Carolina Wilmington

Dissertation title: On Largest Circuits and Cocircuits in Matroids

Jake Olivier (Bowman and Peng)

Dissertation title: Home Range Techniques Utilizing Spatial Correlation