UBC Combinatorial Optimization CPSC 536S, Winter term 2, 2019

Course Outline

We give a thorough introduction to the field of combinatorial optimization. The course includes an introduction to polyhedral combinatorics which is then a background theme for designing algoirithms for combinatorial problems. We will sample topics from classical combinatorial optimization problems including minimum cost arborescence, maximum weight matching, T-joins, matroid intersection, perfect matrices and virtual private network problem. We also expect to devote some time to approximation algorithms for problems such as the travelling salesman problem and maximum cut.

The course will be more theoretically focused as opposed to numerical. Hence a reasonable mathematical background (say in linear algebra) is recommended.

Instructor

Bruce Shepherd Email: fbrucesh@cs.ubc.ca Webpage: bshepherd.ca Office hours: Tuesday 3:00-4:00 (ICICS X839) or by appointment.

Lectures

Time: Monday and Wednesday at 13:30-15:00 Hugh Dempster Paviliion 101

Teaching Assistant

Coulter Beeson, Mehrdad Ghadiri Office hours: TBA

Grading

Course grades will be (tentatively) based upon: assignments (x%), 5 quizzes (y%), and a final exam (100-x-y%).

Quiz Dates (all in class)

Assignments

What we've done so far

Week 1.