Education:
2008 - Present: PhD Candidate in Mathematics, Western Michigan University
Area: Combinatorics and Graph Theory
Proposed Doctoral Dissertation: Modular and Graceful Edge Colorings of Graphs
Advisor: Professor Ping Zhang
2009: M.A. in Mathematics, Western Michigan University
2007: B.S. in Mathematics, Western Michigan University
minor: History
Research Interests:
My research interests include graph structures, graph colorings and labelings, distance in graphs, Hamiltonicity, Ramsey Theory, and
other various combinatorics problems.
Selected Publications:
Nontrivial Solutions to a Checkerboard Problem (with M. Heires, F. Okamoto, W. Renzema, and J. Roberts) Involve. 3 (2010) 109-127
Modular Neighbor Distinguishing Edge Colorings of Graphs (with K.Kolasinski, F. Okamoto, and P. Zhang) Journal of Combinatorial Mathematics and Combinatorial Computing. Accepted for publication.
Color-Sensitive Checkerboards (with K. Kolasinski, F. Okamoto, and P. Zhang) Congressus Numberantium. Accepted for publication.
On the Hamiltonicity of Distance-Colored Graphs (with G. Chartrand, K.Kolasinski, and P. Zhang) Congressus Numberantium. Accepted for publication.
On Hamiltonian-Colored Graphs (with K. Kolasinski and P. Zhang) Utilitas Mathematica. Accepted for publication.
Selected Presentations:
1.
Modular Edge-Graceful Trees
42nd
Southeastern International Conference on Combinatorics, Graph Theory,
and Computing
Florida
Atlantic University, March 2011.
2. On Neighbor-Distinguishing Edge Colorings
Annual Joint Meetings of American Mathematical Society
New Orleans, January, 2011. (Special Session of AMS)
3. The Magic of Graph Colorings
Pi Mu Epsilon National Honorary Mathematics Society
Western Michigan University, November 5, 2010. (invited talk)
4. Modular and Graceful Edge Colorings
Western Michigan University, September 29, 2010.
5. Modular Edge Colorings of Graphs
Twenty Fourth Midwestern Conference on Combinatorics, Cryptography, and Computing
Illinois State University, September 10-12, 2010.
6. Cents and Sensitivity
The Michigan Section meeting of the Mathematical Association of America
Eastern Michigan University, April 6, 2010.
7. Color-Sensitive Checkerboards
Midwest Graph Theory Conference
University of Detroit Mercy, Detroit, MI April 16-17, 2010.
Courses Taught:
MATH 4400 Graph and Mathematical Models, Western Michigan University
MATH 2000 Applied Calculus, Western Michigan University
MATH 1230 Calculus II, Western Michigan University
MATH 1160 Finite Mathematics, Western Michigan University
MATH 1100 Algebra I, Western Michigan University
Honors and Awards
2011 All-University Graduate Research and Creative Scholar Award
Graduate College, Western Michigan University
Graduate Research Award
Mathematics Department, Western Michigan University
2010 Graduate Student Teaching Effectiveness Awards
Department of Mathematics, Western Michigan University
2007 A. Bruce Clark Senior Award
Department of Mathematics, Western Michigan University
Memberships:
Pi Mu Epsilon
American Mathematical Society
Mathematical Association of America