Mathematical Sciences-Discrete Mathematics Seminar-"A method to prove that the solution to some enumeration problems is a non-rational generating function" by Miklós Bóna (University of Florida)

Thursday, November 21, 2019
10:00 am to 10:50 am

Location:

Floor/Room #: 
202

Speaker: Miklós Bóna

Title: "A method to prove that the solution to some enumeration problems is a non-rational generating function"

Abstract: The solution of an enumeration problem is very often a generating function F. Some problems are too difficult for us to find the explicit form of F. In this talk, we will introduce a method that leads to negative results that are rare in this part of combinatorics. When our method applies, it shows that F is not a rational function, which provides at least some explanation of the fact that the original enumeration problem is difficult. As an example, we will discuss a 22-year old conjecture of Zeilberger and Noonan.