Introduction to Parameterized Algorithms: Tutorial

Welcome to the website to the tutorial class of Introduction to Parameterized Algorithms (lecturers Jiri Fiala and Martin Koutecky).

This class is co-taught with Martin Korecek.

The lecture's website is here (it might not exist yet).

If you have a feeling that

write me (tung@iuuk.mff.cuni.cz) before it's too late. We'll meet (in cyberspace if needed) and try to resolve it somehow.

How to obtain credit?

You will get credit for solving homework. There will be a homework set every two weeks. You need 66 % of the points to obtain the credit.

Submit your homework solutions in the Postal Owl. The enrollment token is fc4adb329e07.

I encourage discussing homework solutions among yourselves. However, make sure you create the submitted solution on your own.

Using computer algebra systems is fully allowed and encouraged in your solutions. Ideally, please send a link/certificate in the complexity sense to how you used it for solving the problem. So e.g. a Wolfram alpha URL that includes your expression.

Tutorial content (tentative at places)

Date Topic Task statement Solutions Remarks
(by Tung) Kernelization PDF Handwritten solutions
(by Martin) Branch & Bound PDF Handwritten solutions
(by Tung) Randomized FPT algorithm for Longest Path problem via Color Coding PDF Included in the task statement
(by Martin) Branch & Bound: but much spicier PDF TODO
(by Martin) Integer programming and neighborhood diversity PDF PDF
(by Martin) Harder kernelization PDF
(by Martin) Iterative compression PDF We had a crash course on the technique and solved a couple of exercises. Everything I talked about is taken from Chapter 4 of the Parameterized Algorithms book.
(by Martin) Integer programming & neighborhood diversity vol. 2 PDF PDF
(by Martin) Hard problems PDF Most of the tutorial, I talked about the W hierarchy and (S)ETH. We only solved exercise 1.
(by Martin) TBD
(by Martin) TBD
(by Martin) TBD