CAS 746 - Advanced Topics in Combinatorial Optimization


Tuesday 13:30-16:20 in ITB 222

Slides 1: Introduction using Peg Solitaire as an illustartion
Slides 2: Tim Evans' Quantum Field Theory Course
Slides 3: Optimization Algorithms
Slides 4: Combinatorial Optimization

In pursuit of a white whale, Louis Billera, Berlin 2018
OEIS entry for the white whale


Antoine Deza
Office: ITB 127
Extension: 23750
Office hours: Tuesday 16:30-17:20 or by appointment

Course Outline

Combinatorial optimization deals with the design and analysis of algorithms for finding the best or an approximate solution to problems which have a discrete structure. This course provides an introduction to useful frameworks for discrete optimization problems. We introduce the basic concepts of polyhedra, lattices and integer cones and illustrate these notions by some examples coming from combinatorial optimization. In this course we are also concerned with computational issues and the analysis of algorithmic performances. Open questions dealing with optimizaton algorithms, diameter of polytopes, Minkowski sums, and degree sequences of hypergraphs are presented and discussed. The course will be relatively self-contained. Reading will be assigned to cover some of the topics.

The instructor and university reserve the right to modify elements of the course during the term. The university may change the dates and deadlines for any or all courses in extreme circumstances. If either type of modification becomes necessary, reasonable notice and communication with the students will be given with explanation and the opportunity to comment on changes. It is the responsibility of the student to check their McMaster email and course websites weekly during the term and to note any changes.


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