Appendix B PhD Doctorates Granted

Appendix B PhD Doctorates Awarded in the Department of Mathematics and Statistics Doctorate Position Dissertation Title Advisor Commencement Date Kenneth L Pothoven Characterizations of Some Functors of Categories of Banach Spaces Kung-Wei Yang On External Partitions of Graphs Gary Chartrand A Theory of Multiplicity for Multiplicative Filtrations John W Petro Discrete Approximations to continuous Optimal Control Problems Arthur W J Stoddart Convergence Bounds in Optimization Arthur W J Stoddart Completion of Lattices with Semicomplementation Erik A Schreiner Timothy B Carroll Severance Classes and Multi- Anthony A Gioia Eastern Michigan University pliclative Arithmetic Functions April 1973 Donald W VanderJagt Local Connectivity in Graphs Gary Chartrand University of South Florida John A Mitchem San Jose State University Wayne W Bishop California State University, Los Angeles Mauice L Eggan Trinity University, San Antonio, Texas Pascal D Mubinga Returned to Zaire Alan A Bishop Grand Valley State University Krishnamachari S Nadathur Bishop Herber College, India (retired) 10 James E Williamson University of Dubuque December 1969 April 1970 April 1971 April 1972 April 1972 August 1972 April 1973 Linear Operators Between Nonarchimedian Banach Spaces Kung-Wei Yang On Hamiltonian-Connected Graphs Gary Chartrand August 1973 August 1973 11 Kenneth G Hummell Eureka Company 12 Linda M Lesniak Drew University 13 John A Roberts University of Louisville 14 Saul Stahl University of Kansas 15 Kenneth P Johnson Grand Valley State University 16 Brian L Garman University of Tampa 17 James M Benedict Augusta State University, Georgia 18 H Joseph Straight SUNY, College at Fredonia 19 Jerome J Przybylski Elmira College, New York 20 Nancy J Boynton SUNY, College at Fredonia 21 Ronald J Gould The Automorphism Group of the Wreath Product of Finite Groups Joseph T Buckley On the Theory of Hamiltonian Graphs Gary Chartrand Indegrees, Outdegrees, and the Hamiltonian Theme Gary Chartrand Self-Dual Embeddings of Graphs Arthur T White Symmetric Maps of S3 onto a Homotype 3-sphere Alden H Wright Cayley Graph Imbeddings and the Associated Block Designs Arthur T White On Ramsey Numbers Defined by Factorizations of Regular Complete Multipartite Graphs Gary Chartrand Partitions of the Vertex Set or Edge Set of a Graph Don L Lick On a System of Nonlinear Ordinary Differential Equations with an Irregular Type Singularity: A Degenarte Case Philip Hsieh Markovian Multiserver Queuing Systems with Servers in Series A Bruce Clarke Traceability in Graphs Gary Chartrand Emory University 22 David Burns Ferris State University August 1974 August 1974 August 1975 August 1975 August 1975 August 1976 August 1976 August 1977 August 1978 April 1979 August 1979 Uniform Factorization in Graphs Shashi F Kapoor December 1979 23 John Frederick Fink Univ of Michigan – Dearborn 24 Brian T Mitchell Environmental Research Institute of Michigan 25 Sergio Ruiz Deceased 26 John G Gimble Univ of Alaska Fairbanks 27 John M Rahn Western Michigan University 28 Hung Bin Zou Random Factors and Isofactors in Graphs and Digraphs Gary Chartrand Parameter Optimization Using a Hierarchial System of Learning Automata Dion Kountanis On Isomorphic Decompositions of a Graph Gary Chartrand The Chromatic ad Cochromatic Number of a Graph Linda M Lesniak On the Genus of a Block Design Arthur T White On Common Subgraphs Gary Chartrand Intermagnetics General Corp 29 Kohn A Kapenga Western Michigan University 30 Ortrud R Ollermann University of Winnipeg 31 Farhad Shahrokhi University of North Texas 32 Thomas J Vidmar Pharmacia and Upjohn 33 James Buddy Davis Radford University 34 Zhuguo Mo Returned to China August 1982 August 1982 December 1983 April 1984 August 1984 December 1985 Jacobi Moments in Applied Mathematics and Computer Science Philip Hsieh Generalized Connectivity in Graphs Gary Chartrand Design and Analysis of Efficient Routing Algorithms Donald W Matula Design and Analysis of Drug Combination Experiments Joseph W McKean Robust Rank Analysis for Multivariate Linear Models Joseph W McKean Graph and Directed Graph Augmentation Problems Kenneth L Williams August 1986 August 1986 December 1986 April 1986 April 1987 June 1988 35 Garry L Johns Saginaw Valley State Univ 36 Paresh J Malde Generalized Distance in Graphs Gary Chartrand Chromatic Partitions Allen J Schwenk August 1988 December 1988 37 Charlene E Beckmann Grand Valley State University 38 Karen S Holbert Grand Valley State University 39 Lee D Witt Davenport College 40 Grzegorz Kubicki University of Louisville 41 Eva Kubicki University of Louisville 42 Sudhakar H Rao Schering-Plough Research Institute, Kenilworth, NJ 43 44 Robert G Rieper Sonlin Tian Central Missouri State Univ 45 Bruce P Mull Lake Michigan College 46 Thomas B Sprague Cornerstone University The Effect of Computer Graphics Use on Student Understanding of Calculus Concepts Dwayne E Channell Specified Subgraphs and Subgraph-defined Parameters in Graphs Gary Chartrand Coefficients of Multiple Determination Based on Rank Estimates Joseph W McKean Greatest Commons Subgraphs Gary Chartrand The Chromatic Sum and Efficient Tree Algorithms Allen J Schwenk Measures of Partial Association Based on Rank Estimates Gerald L Sievers The Enumeration of Graph Imbeddings Arthur T White On Distance in Graphs and Digraphs Gary Chartrand Enumerating the Orientable 2-Cell Imbeddings of Complete n-Partite Graphs Arthur T White Shape Preserving Piecewise Cubic Interpretation Dennis D Pence April 1989 April 1989 April 1989 August 1989 August 1989 August 1989 August 1990 August 1990 August 1990 August 1990 47 Ghidewon Abay Asmeron Graph Products and Covering Graph Imbeddings Arthur T White Improving Network reliability Alfred J Boals December 1990 Virginia Commonwealth Univ 48 Jamal H Nouh Birzeit University, West Bank 49 Héctor Hevia Universidad Católica de Valparaisi, Chile 50 Elzbieta B Jarrett Modesto Junior College 51 David L Craft Muskingum College 52 Hung-Ir Li Eli Lilly Company 53 Jiuziang Liu Eastern Michigan University 54 Hang Chen Central Missouri State Univ 55 56 Himli Yahya Kimberly Tucker Perry Pharmacia and Upjohn 57 Ignatious E Vakalis Capitol University December 1990 A Representation of chemical Reactions by Labeled Graphs Gary Chartrand Transformations of Graphs and Digraphs Gary Chartrand Surgical Techniques for Constructing Minimal Orientable Imbeddings of Joins and Compositions of Graphs Arthur T White On Rank Procedures for the Logistic Models Joseph W McKean Maximal and Maximum Independent Sets in Graphs Yousef Alavi Common Moment Sets of Complememtar Graphs Allen J Schwenk A Progressive Disease Model for Doubly-censored Bivariate Survival Data that Accommodate Covariate Information Daniel Mihalko A Critical Examination of the Use of Preliminary Tests in Two-sample Tests of Location Michael R Stoline Multivariate Quadrature on MIMD Machines with Shared or Distributed Memory Elise DeDoncker June 1991 June 1991 June 1991 December 1991 June 1992 June 1992 August 1992 August 1992 August 1992 58 Rank Based Procedures in the Heteroscedastic Linear Model Joseph W McKean Distances Associated with Subgraphs and Subdigraphs Gary Chartrand Christian R Hirsch Iowa State University Symbol Sense and Its Development in Two Computer Algebra System Environments Ian Campbell Walters, Jr Isospectral Graphs and the Expander Coefficient Allen J Schwenk Comparisons of Several Medians in a Lognormal Ksample Context Where Some Date may be Left-censored Michael Stoline The Theory and Applications of Stratified Naveed Sherwani Semi-Strongly Regular Graphs and Generalized Cages Allen J Schwenk Asymptotic Diagonalizations of a Liner Ordinary Differential System Philip Hsieh Probability Polynomials for Cubic Graphs in the Framework of Random Topological Graph Theory Arthur T White Efficient Dominating Sets in Oriented Trees Allen J Schwenk Step Domination in Graphs Gary Chartrand Sherry Dixon National Center for Lead-Safe Housing 59 Steven Winters Univ of WisconsinOshkosh 60 61 Brian A Keller December 1993 June 1993 August 1993 June 1994 D’Youville College 62 Stavros Costa Pouloukas Cyprus College, Cyprus 63 Reza Rashidi MCI, Tysons Corner, VA 64 Fan Cong Ford Motor Company 65 Feipeng Xie Blue Cross & Blue Shield of Massachusetts 66 Esther Joy Tesar Educational Testing Services 67 Quan Yue State Farm Insurance August 1994 December 1994 April 1995 April 1995 May 1995 June 1995 Bloomington, IL 68 Kelly Lynne Schultz Academic Talented Youth Program, Kalamazoo, MI June 1995 69 Heather Gavlas Grand Valley State University 70 Michelle Schultz A Graph Theoretic Study of the Similarity of Discrete Structures Gary Chartrand Random Cayley Maps Arthur T White University of Nevada at Las Vegas 71 Mei Huang Wang Pharmacia and Upjohn 72 Allen Emerson Wells College, Aurora, NY 73 Robert Vandell June 1996 June 1996 Statistics Graphics: Applications to the R and GR Methods in Linear Algebra Joseph W McKean Gender Discourse in Small Learning Groups of College- Christine Browning December 1996 December 1996 level Developmental Mathematics Students Integrity of Digraphs Indiana UniversityPurdue Lowell W Beineke December 1996 University, Fort Wayne 74 Jeffrey Terpstra North Dakota State University 75 Daniel Cheung State Farm Insurance Agency A Robust Estimate for an Autoregressive Time Series Joseph W McKean Estimating IBNR Reserves with Robust Statistics Joshua Naranjo Domination in Digraphs Gary Chartrand April 1997 April 1997 Kalamazoo, MI 76 Lisa Hansen Western New England College 77 James Kett Singapore American School 78 Richard Low San Jose State University June 1997 A Portrait of Assessment in Reformed Mathematics Classrooms Christian R Hirsch Units in Integral Group Rings for Direct Products Joseph T Buckley December 1997 June 1998 79 80 81 Perturbed Hamiltonian System of two parameters with Several Turning Points Philip Hsieh Christine Browning The College of New Jersey The Effects of Writing Assignments on Secondsemester Calculus Students: Understanding Sense Ramon FigueroaCenteno Surface Models of Finite Geometries Arthur T White Fostering Reflective Thinking in First Semester Calculus Classes Christian R Hirsch A Generalization of Cayley Graphs for Finite Fields Arthur T White Students’ Conceptions of Mathematics and the Transition from Standardsbased Reform Curriculum to College Mathematics Christian Hirsch Western Michigan University An Investigation Into Relationships Between alternative Assessment and Pre-Service Elementary Teachers’ Beliefs About Mathematics Cristine A Browning Linda Eroh Rainbow Ramsey Numbers Allen Schwenk Myeong Joon Ann Melanie King Wahlberg June 1998 June 1998 June 1998 Pittsburg State University, Pittsburg, KS 82 Pam Crawford Jacksonville University, FL 83 Dawn Jones Keuka College, Keuka Falls, NY 84 Rebecca Walker Western Michigan University 85 86 David Coffey University of Wisconsin, Oshkosh 87 88 David Zeitler Boyd Jay Hanson June 1998 August 1998 December 1999 June 2000 June 2000 Empirical Spectral Analysis of Random Number Generators Joseph McKean A Comparison of Methods for Detection of Qualitative Interaction in Multicenter Trials Michael R Stoline June 2001 March 2001 89 90 Laura Van Zoest Bucknell University Changing Mathematical Discourse: A Case of a Secondary School Mathematics Teacher David J Erwin Cost Domination in Graphs Gary Chartrand Mary Lynne Breyfogle Trinity College 91 92 April 2001 Christian R Hirsch Cornerstone University Learning to Construct Proofs in a First Course on Mathematical Proofs Jonathon K Hodge Separable Preference Orders Allen J Schwenk Peter Atwood Grand Valley State University 93 Varaporn Saenpholphat 95 Paula T Smith Marcia L Weller Weinhold Purdue UniversityCalumet 96 Kirsty Eisenhart Western Michigan University 97 Jihwa Noh University of Northern Iowa 98 Kathryn G Shafer Bethel College 99 Paritawana Pacheenburawana Thummasat University July 2001 2002 Resolvability in Graphs Srinahkarinwirot University 94 July 2001 Ping Zhang April 2002 Local Symmetries of Symmetrical Cayley Maps John Martino How Teachers Construct an Understanding of “Appropriate Use” of Graphing Calculators in the Context of Collegial Inquiry Christian R Hirsch Multiobjective Optimal Control Problems with Endpoint and State Constraints Qiji (Jim) Zhu An Investigation of Secondary Teachers’ Knowledge of Rate of Change in the Context of Teaching a Standards-Based Curriculum Kate Kline and Steven Ziebarth Two High School Teachers’ Initial Use of Geometer’s Sketchpad: Issues of Implementation Tabitha Mingus The Global Optimality Conditions in Mathematical Programming and Optimal Control Yuri S Ledyaev April 2002 July 2003 March 2003 July 2004 November 2004 December 2004 100 Ralucca Gera Naval Postgraduate School 101 Archara Chaiyakarn Thummasat University 102 Joseph Fox Salem State College 103 Sheri Stockero Michigan Technological Institute 104 Henry Escuadro Janiata College 105 Futaba Okamoto University of Wisconsin – La Crosse 106 Ovidiu Furdui University of Toledo 107 Nesrin Cengiz University of Michigan – Dearborn 108 Dana Cox Miami of Ohio University Stratification and Domination in Graphs and Digraphs Ping Zhang Structure Preserving Algorihtms for Computing the Sympletic Singular Value Decomposition Niloufer Mackey Nilpotent Orbits on Infinitesimal Symmetric Spaces Terrell L Hodge The Effect of Using Video Cases of Mathematics on Preservice Teachers’ Development of a Reflective Stance Towards Teaching Laura Van Zoest Detectable Colorings of Graphs Ping Zhang Measures of Traversability in Graphs Ping Zhang, The Fock Space and Related Bergman Type Integral Operators John Srdjan Petrovic What allows Teachers to Extend Student Thinking During whole Group Discussions? Theresa J Grant and Kate Kline Understanding Similarity: Bridging Numeric and Geometric Strategies for Proportional Thinking Steven Ziebarth, and Jane-Jane Lo November 2004 November 2004 March 2006 June 2006 January 2006 April, 2007 June 2007 August 2007 June 2008 109 Sandra Madden University of Massachusetts, Amherst 110 Anirban Dutta Letse, LLC High School Mathematics Teachers’ Evolving Understaning of Comparing Distributions Christian Hirsch, Option Pricing and Stable Trading Strategies in the Presence of Information Assymetry Qiji J Zhu, Chair August 2008 April 2010 111 Allen Bickle The K-Core of a Graph Allen Schwenk December 2010 112 Kyle Kolasinski U.S Department of Defense 113 Ryan Jones Grand Rapids Community College 114 Karen Fonkert Charleston Southern University 115 Bryan Phinezy Epic Systems 116 Nicole Fonger University of WisconsinMaddison 117 Jianwei Lin Returned to China 118 Benjamin Phillips Hamiltonicity and Connectivity in DistanceColored Graphs Ping Zhang Modular and Graceful Edge Colorings Ping Zhang Pattern of Interaction and Mathematical Thinking of High School Students in Classroom Environments that Include Use of Java-Based, Curriculum-Embedded Software Steven W Ziebarth Variations on a Graph Coloring Theme Ping Zhang Characterizing and Supporting Change in Algebra Students’ Representational Fluency in CAS/Paper-and-Pencil Environment Jon Davis The Domination Number of KaKbKc Allen Schwenk Boolean and Profinite Loops Clifton E Ealy, Jr University of MichiganDearborn 119 Daniel S Sievewright Kalamazoo College 120 Julienne Houck Innovative Software June 2011 June 2011 April 2012 June 2012 August 2012 August 2012 December 2012 Weighted Shifts of Finite Multiplicity John Srdjan Petrovic A Pattern in the LusternikSchnirelmann Category of Rational Spaces Jeffrey Strom April 2013 August 2013 121 122 David Arnold Napthalin Achubang Atanga Western Michigan University/MOST Project 123 Eric Andrews University of AlaskaAnchorage 124 Alper Bulut Kuwait University 125 Alden Jack Edson Michigan State University 126 Joshua Goss University of New Haven 127 Robert Kipka Kent State University 128 Dustin O Smith Murray State University 129 Chira Lumduanhom Srinakharinwirot University 130 Vasilije Perovic University of Rhode Island Classifying Spaces of Symmetric Groups and Wreath Products John Martino Elementary School Teachers’ Use of Curricular Resources for Lesson Design and Enactment Ok-Kyeong Kim On Eulerian Irregularity and Decompositions in Graphs Ping Zhang Lie Loops Associated with GL(H), H a Separable Infinite Dimensional Hilbert Space Clifton E Ealy, Jr A Deeply Digital Instructional Unit on Binomial Distributions and Statistical Inference: A Design Experiment Christian Hirsch and Steven Ziebarth A Method for Assessing and Describing the Informal Inferential Reasoning of Middle School Students Christine Browning Mathematical Methods of Analysis for Control and Dynamic Optimization Problems on Manifolds Yuri S Ledyaev Eliciting Elementary School Students’ Informal Inferential Reasoning through Storytelling Kate Kline Modular Monochromatic Colorings Spectra and Frames in Graphs Ping Zhang Spectrally Equivalent Matrix Polynomials: Non-Standard Bases and Preservation of Structure D Steven Mackey December 2013 April 2014 June 2014 June 2014 June 2014 June 2014 June 2014 August 2014 December 2014 May 2015 131 James P Schwass SalesPage Technologies 132 Daniel P Johnston University of Montana 133 Christina Zumbrun Trine University 134 135 Timothy L Clark Elliot LaForge Kalamazoo Valley Community College 136 James Kratky Vivint Smart Home, Signtronix 137 Zhenming Bi VOBA Solutions Phantom Maps, Decomposability, and Spaces Meeting Particular Finiteness Conditions Jeffrey Strom Edge Colorings of Graphs and Their Applications Ping Zhang Secondary Mathematics Teachers’ Attitudes and Beliefs Toward Statistics: Developing an Initial Profile Christine Browning & Steven Ziebarth Resolving Classes and Resolvable Spaces in Rational Homotopy Theory Jeffrey Strom Chromatic Connectivity of Graphs Ping Zhang Pedagogical Moves as Characteristics of One Instructor’s Instrumental Orchestrations with Tinkerplots and the TI-73: A Case Study Jon Davis Highly Hamiltonian Graphs and Digraphs Ping Zhang Color-Connected Graphs and Information-Transfer Paths Ping Zhang Structures of Derived Graphs Ping Zhang May 2015 June 2015 June 2015 June 2016 June 2016 December 2016 June 2017 Northeastern University 138 Stephen Devereaux Cornerstone University 139 Khawlah Hamad Alhulwah December 2017 December 2017 Imam Mohammad University 140 Laars Helenius U.S Army Engineer Research and Development Center (ERDC) Edge-Induced Weightings of Uniform Hypergraphs and Related Problems Andrzej Dudek December 2017 141 Mehdi Vazifedan TA, Western Michigan University 142 Ian Hart No-Arbitrage Principle in Conic Finance Qiji Jim Zhu Induced Graph Colorings Ping Zhang April 2018 June 2018 143 144 Mary Achieng Ochieng Alexis Byers Youngstown State University 145 Sean Joseph English Ryerson University 146 Mohra Abdullah Alqahtani King Khalid University 147 148 149 150 151 The Bellringer Sequence: Investigating What and How Preservice Mathematics Teachers Learn Through Pedagogies of Enactment Laura Van Zoest Graceful Colorings and Connection in Graphs Ping Zhang Probabilistic and Extremal Problems in Combinatorics Andrzej Dudek Generalized Line Graphs Ping Zhang June 2018 June 2018 August 2018 December 2018 DEPARTMENT OF STATISTICS Doctorate Position Dissertation Title Advisor Commencement Date Nonlinear Regression Based on Ranks Joseph McKean Visualization Methods: A comparative Study of New, Traditional and Robust Procedures Joseph McKean On Rank-Based Considerations for Generalized Liner Models and Generalized Estimating Equations Models Joseph W McKean Abou El-Makarim Abd El-Alim Aboueissa New Statistical Methods for the Estimation Of the Mean And Standard Deviation From Normally Distributed Censored Samples Michael R Stoline Ali A Al-Shomrani A Comparison of Different Schemes For Selecting and Estimating Score Functions Based On Residuals Joseph W McKean Spearman Rank Regression Joshua D Naranjo Asheber Abebe Kimberly Crimin Diana R Cucos Jason C Parcon April 2002 July 2002 October 2002 November 2002 May 2003 May 2003 10 John E Daniels Feridun Tasdan Ahmed N Albatineh John Kloke Determination of Spatial Strata for Environmental Regulatory Purposes Michael Stoline A Robust Two-sample Procedure to Estimate a Shift Parameter Gerald L Sievers On Similarity Measures for Cluster Analysis Daniel Mihalko Rank-Based Methods for Repeated Measures Data Under Exchangeable Errors Joseph McKean July 2003 November 2003 May 2004 May 2005 11 12 13 14 Testing Procedures for Group Sequential Clinical Trials with Multiple Survival Endpoints Daniel Mihalko Extensions of Two-Part Tests to Compare K Independent Populations Magdalena Niewiadomska Bugaj Ruvie Lou Maria C Martinez Diagnostics for Choosing Between Log-Rand and Wilxocon Tests Joshua D Naranjo Mathew Anthony Cantos Rosales The Robustness of Confidence Intervals for the Mean of Delta Distribution Magdalena NiewiadomskaBugaj Rebecca C Scherzer Marwan Daoud August 2005 June 2007 September 2007 March 2009 15 16 17 Oluwagbohunmi Adetunji Awosoga Meta Analyses of Multiple Baseline Time Series Design Intervention Models for Dependent and Independent Series Joseph W McKean Eric Nantz Testing Equality of Competing Risks of Patient Discontinuation Across Multiple Disease States Michael Stoline Statistical Procedures for Bioequivalence Analysis Joseph W McKean Srinand Ponnathapura Nandakumar April 2009 April 2009 April 2009 ... Elementary Teachers’ Beliefs About Mathematics Cristine A Browning Linda Eroh Rainbow Ramsey Numbers Allen Schwenk Myeong Joon Ann Melanie King Wahlberg June 1998 June 1998 June 1998 Pittsburg State University,... Functions Based On Residuals Joseph W McKean Spearman Rank Regression Joshua D Naranjo Asheber Abebe Kimberly Crimin Diana R Cucos Jason C Parcon April 2002 July 2002 October 2002 November 2002... and Covering Graph Imbeddings Arthur T White Improving Network reliability Alfred J Boals December 1990 Virginia Commonwealth Univ 48 Jamal H Nouh Birzeit University, West Bank 49 Héctor Hevia