This course d o e s n o t include the Mentored Work Specialised Courses with an Educational Focus in Computer Science A.
Abstract
This course unit looks into algorithmic approaches to the solving of hard problems, particularly with moderately exponential-time algorithms and parameterized algorithms.
The seminar is accompanied by a comprehensive reflection upon the significance of the approaches presented for computer science tuition at high schools.
Learning objective
To systematically acquire an overview of the methods for solving hard problems. To get deeper knowledge of exact and parameterized algorithms.
Content
First, the concept of hardness of computation is introduced (repeated for the computer science students). Then some methods for solving hard problems are treated in a systematic way. For each algorithm design method, it is discussed what guarantees it can give and how we pay for the improved efficiency. A special focus lies on moderately exponential-time algorithms and parameterized algorithms.
Lecture notes
Unterlagen und Folien werden zur Verfügung gestellt.
Literature
J. Hromkovic: Algorithmics for Hard Problems, Springer 2004.
R. Niedermeier: Invitation to Fixed-Parameter Algorithms, 2006.
M. Cygan et al.: Parameterized Algorithms, 2015.
F. Fomin et al.: Kernelization, 2019.
F. Fomin, D. Kratsch: Exact Exponential Algorithms, 2010.