Ryan Jones

Western Michigan University

Cell Phone:  (810)  845-2829

Office:  5503 Everett Tower

Email:  Ryan.C47.Jones@wmich.edu


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:

  1. Nontrivial Solutions to a Checkerboard Problem (with M. Heires, F. Okamoto, W. Renzema, and J. Roberts) Involve.  3 (2010) 109-127

  2. 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.

  3. Color-Sensitive Checkerboards (with K. Kolasinski, F. Okamoto, and P. Zhang)  Congressus Numberantium.  Accepted for publication.

  4. On the Hamiltonicity of Distance-Colored Graphs (with G. Chartrand, K.Kolasinski, and P. Zhang)  Congressus Numberantium.  Accepted for publication.

  5. On Hamiltonian-Colored Graphs (with K. Kolasinski and P. Zhang)  Utilitas Mathematica.  Accepted for publication.

  6. Color-Distance in Color-Connected Graphs (with K. Kolasinski C. Lumduanhom and P. Zhang)
    Utilitas Mathematica.
     7.  On Modular Edge-Graceful Graphs (with K. Kolasinski, F. Okamoto, and P. Zhang)
         Graphs and Combinatorics. 

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:

  1. MATH 4400    Graph and Mathematical Models, Western Michigan University

  2. MATH 2000    Applied Calculus, Western Michigan University

  3. MATH 1230    Calculus II, Western Michigan University

  4. MATH 1160    Finite Mathematics, Western Michigan University

  5. 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