Mathematics Colloquium
Enumeration Through Partial Bell Polynomials
Michael Weiner
Department of Mathematics and Statistics
Penn State, Altoona
Friday, March 13, 2015
4:10 – 5 p.m.
Building 53 Room 206
Abstract
We give a brief introduction to partial Bell polynomials and discuss how they can be
used to enumerate trees, paths and polygon partitions. In this talk we will focus on
finding the total number of colored partitions of a convex polygon by non-intersecting
diagonals into convex polygons with prescribed properties. We give explicit examples
and discuss how this approach unifies several known results.
About the speaker: Mike Weiner received his Ph.D. in 1994 from SUNY Binghamton. An
Associate Professor in the Department of Mathematics and Statistics at Penn State Altoona,
his current research interests include the areas of enumerative combinatorics, number theory
and p-adic numbers.
Refreshments before the talk, 3:30 - 4 p.m.,
in the Math Department Conference Room, 25-208B.