Seminars & Colloquia Calendar

Download as iCal file

Graduate Student Combinatorics Seminar Sponsored by DIMACS

Relaxed Partitions

Mingjia Yang - Rutgers University

Location:  GSL
Date & time: Wednesday, 27 February 2019 at 12:15PM - 1:15PM

Abstract: A partition of a positive integer n is a finite non-increasing sequence of positive integers lambda_1, lambda_2 . . . lambda_k whose sum is equal to n. We will start with some examples of generating functions related to partitions, then we will introduce the notion of relaxed partitions (or r-partitions) where lambda_i - lambda_{i+1} geq r and r can be negative. For example, (2, 3, 1, 1) is a (-1)-partition of 7. We will discuss some results on the total number of r-partitions with the first part equal to M and exactly N parts (M and N are positive integers), as well as questions (some are still open!) related to generating functions, and we will see how Maple was of great help in the process of exploration and discovery.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.