Future students

Zoom (for information email emma.watson@uwaterloo.ca) 

Title: Hardness of set-partitioning formulation for the vehicle routing problem with stochastic demands

Abstract:

The vehicle routing problem considers the cheapest way to serve a set of customers using a fixed set of vehicles. When a vehicle serves a customer, it picks up its demand which is given as an input, and the total demand picked up cannot exceed the vehicle’s capacity. This classical combinatorial optimization problem combines aspects of routing (like a traveling salesman problem) and packing (like a knapsack problem).

Title: Rectangular Catalan Algebraic Combinatorics

Abstract:

The enumeration of Dyck-like lattice paths in a m x n rectangle has a long and fruitful history culminating in Bizley-Grossman’s formula (1954). We will discuss how it is natural to extend this formula to weighted enumeration, with parameters accounting for such statistics as area; and to consider parking-function analogs.

Title: Widths in even-hole-free graphs

Abstract:

Historically, the study of even-hole-free graphs is motivated by the analogy with perfect graphs. The decomposition theorems that are known for even-hole-free graphs are seemingly more powerful than the ones for perfect graphs: the basic classes and the decompositions are more restricted.

Title: Improving the general upper bound for Hadwiger's conjecture

Abstract:

In 1943, Hadwiger conjectured that every K_t-minor-free graph has chromatic number at most t-1.

Title: Proof of the monotone column permanent conjecture

Abstract: 

In 1993, Jim Haglund conjectured the following.  If  A  is a  square matrix of real numbers which are weakly decreasing down each column, and J is the all-ones matrix of the same size, then the permanent of the matrix xJ+A is a polynomial with only real roots.

Title:

Abstract:

Differential privacy is about preserving an individuals privacy while maintaining utility in the context of data analysis.

Title: Binary Submatroids

Abstract:

A binary matroid can be thought of as a set of nonzero binary vectors.

Title: Introduction to Monotone Operators

Abstract: 

This talk will be an entry level introduction to the theory of monotone operators as they are presented in Bauschke and Combette’s Convex Analysis and Monotone Operator Theory in Hilbert Spaces.