Department of Mathematics

Melkamu Zeleke, Ph.D.


Office:   3050 Sience Hall East
Phone:   973-720-2574
Office Hours:   Tuesdays and Thursdays 11:00am-12:15pm

Department: Mathematics
Position: Professor of Mathematics
Area Specialization: Enumerative Combinatorics

 Recent Presentations

  • Algorithmic and Enumerative Combinatorics Summer School, Research Institute for Symbolic Computation, Johannes Kepler University, Hagenberg, Austria, August 2014.
  • Mathematics Seminar, William Paterson University of New Jersey, Spring 2014.
  • Lectures on Enumerative and Algebraic Combinatorics, Addis Ababa University, Addis Ababa, Ethiopia, December 2013.
  • INTEGERS 2013 – The Erdös Centennial Conference in Combinatorial Number Theory, University of West Georgia, Carrollton, GA, October 2013.
  • Experimental Mathematics Seminar, Rutgers University, NJ, April 2013. (YouTube link of the talk Part 1, Part 2)
  • Experimental Mathematics Seminar, Rutgers University, NJ, April 2012. (YouTube link of the talk Part 1, Part 2)
  • Mathematics Colloquium, Addis Ababa University, Addis Ababa, Ethiopia, February 2011. (Delivered while serving as US Fulbright Scholar in Ethiopia.)
  • From A = B to Z = 60: Conference in Honor of Doron Zeilberger's 60th Birthday, Rutgers University, NJ, May 2010. (YouTube link of the talk Part 1, Part 2)

Research Publications

  • On Subsets of Ordered Trees Enumerated by a Subsequence of Fibonacci Numbers, Proceedings of The Erdös Centennial Conference in Combinatorial Number Theory, to appear.
  • On Generalization of Motzkin Numbers using k-Trees (with M. Jani), Ars Combinatoria, 89, 287 – 297 (2008).
  • A Bijective Proof of a Tennis Ball Problem (with M. Jani), Bulletin of Inst. Of Combinat. and its Appl., 41, 89 - 95 (2004).
  • Catalan Identities and k-trees, Congressus Numerantium, 165, 39 - 49 (2003).
  • Enumeration of K-Trees and Applications (with M. Jani & R.G. Rieper), Annals of Combinatorics 6,  375-382 (2002).
  • Skew Diagrams and Ordered Trees (with R.G. Rieper), Advances in Applied Mathematics 27, 671-681 (2001).
  • Valleyless Sequences (with R.G. Rieper), Congressus Numerantium 145, 33-42 (2000).
  • On Disjoint Covering Systems with Precisely One Repeated Modulus (with J. Simpson), Advances in Applied Mathematics 23, 322-332 (1999).
  • Examples of Noninjectivity for the Combinatorial Radon Transform, Journal of Difference Equations and Applications 5, 319 - 322 (1998).
  • On Injectivity of the combinatorial Radon transform of order 5 (with T. Amdeberhan), Journal Computational and Applied Mathematics 83, 251-255 (1997).

 Other Conference Presentations

    • 3rd Annual South American Conference on  Algebra, Number Theory & Combinatorics, Universidad Industrial de Santander, Bucaramanga, Colombia, July 2008.
    • Algebra Seminar, Universidad de Antioquia, Medellin, Colombia, July 2008.
    • Mathematics Colloquium, Colgate University, Hamilton, NY, November 2007.
    • 6th International Conference on Lattice Path Combinatorics, Eastern Tennessee University, Johnstown, TN, July 2007.
    • Experimental Mathematics Seminar, Rutgers University, Piscataway, NJ, March 2006.
    • 37th Southeastern International Conference on Combinatorics, Graph Theory and Computing, Florida Atlantic University, Boca Raton, FL, March 2006.
    • The 2005 INTEGERS Conference, University of West Georgia, Carrollton, GA, October 2005.
    • International Conference on Paths, Permutations and Trees, Nankai University, Tianjin, P.R. China, February 2004.
    • Joint Mathematics Meetings, Contributed Papers, Baltimore, MD, January 2003.
    • 966th AMS Meeting, Stevens Institute of Technology, Hoboken, NJ, April 2001.
    • 9th Annual Faculty-Student Scholarship Day, William Paterson University, Wayne, NJ, October 2000.
    • 9th Quadrennial International Conference on Graph Theory, Combinatorics and Applications, Western Michigan University, Kalamazoo, MI, June 2000.
    • Mathematics Colloquium, Howard University, Washington, D.C., October 1999.
    • AMS Eastern Sectional Meeting, State University of New York, Buffalo, NY, April 1999.


      Awards and Fellowships

    • US Fulbright Scholar, Addis Ababa University, August 2010 – June 2011.
    • Distinguished Teaching Award, Temple University, April 1997.
    • DAAD, German Academic Exchange Fellowship, University of Griefswald, June 1992-Aug 1992.
    • DAAD, German Academic Exchange Inter-country Fellowship, Addis Ababa University, September 1990 - June 1992.
    • Gold Medalist, College of Natural Science, Addis Ababa University, July 1989.