Melkamu Zeleke
Professor • Department of
My general research interest is in Combinatorics, a branch of modern mathematics with applications in computer science, probability theory, data analysis & algorithms. I have published peer reviewed research papers in reputable mathematics journals, including the Annals of Combinatorics and Advances in Applied Mathematics. Currently, I study Riordan arrays and their applications in Combinatorics. Riordan arrays equipped with Shapiro’s multiplication rule form a group, and this group provides an interesting framework to solve combinatorial problems. I am a Fellow of the Institute of Combinatorics & its Applications and serve as a referee for several mathematics journals.
I served as chair of the Mathematics Department from July 2004 to June 2010 and am currently serving as Associate Dean of the College of Science and Health. I am also a recipient of the J. William Fulbright Foreign Scholarship Board award and served as a US Fulbright Scholar at Addis Ababa University in Ethiopia from August 2010 to June 2011.
Professional Interests
Conducting research in enumerative combinatorics and mentoring students.
Other Interests
Sports: Tennis, Basketball, and Soccer; World History; Classic Movies.
Degrees
Specialization
Combinatorics and Number Theory
Representative Publications
On the Mobius Function of a Pointed Graded Lattice;
, Indian Journal of Pure and Applied Mathematics;
Volume
https://link.springer.com/article/10.1007/s13226-018-0255-x
On Subsets of Ordered Trees Enumerated by a Subsequence of Fibonacci Numbers ;
, Proceedings of INTEGERS 2013 conference: The Erdos Centennial;
Volume
http://math.colgate.edu/~integers/vol15a.html
Representative Presentations
On Combinatorial Interpretations of Shapiro’s Identities Involving some Elements of the Bell Subgroup.
On Shapiro's Identities Involving the Elements of Lagrange and Bell Subgroups
Riordan Arrays and their Applications in Combinatorics
On Subsets of Ordered Trees Enumerated by a Subsequence of Fibonacci Numbers
On Subsets of Ordered Trees Enumerated by a Subsequence of Fibonacci Numbers
Awards and Honors
01/01/2010
05/01/1997
07/01/1989
Notable Courses Taught
Selected Topics in Algebraic & Enumerative Combinatorics, Advanced Discrete Mathematics, Ordinary Differential Equations, and Logic & Methods of Higher Mathematics.
