Functional Analysis, Linear Structures and Applications Seminar 

08/06/2015, 15:00 — 16:00 — Room 6.2.38, Faculty of Sciences of the Universidade de Lisboa
Mike Weiner, Pennsylvania State University

Enumeration through partial Bell polynomials

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.