Objectives and Content
On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:
The student knows:
- the central definitions of the paradigms for coping with computational intractability, such as FPT algorithms, kernels, approximation algorithms, exact exponential time algorithms, and polynomial time algorithms for restricted input classes.
- the basic algorithm design techniques within each of the paradigms.
- restricted input classes, such as trees, chordal graphs, and graphs of bounded treewidth, and the structural characterizations of these classes.
- the definition of randomized algorithms.
The student is able to:
- analyze the performance of a proposed algorithm within the different paradigms for coping with computational intractability
- design new algorithms for concrete problems within each of the considered algorithm design paradigms using the covered algorithm design techniques.
- apply structural insights about restricted input classes to design more efficient algorithms for these classes.
- Design randomized algorithms and analyze their performance in terms of the expected running time, the probability that the running time exceeds a set threshold, the expected quality of an output solution, and the probability that the quality is better or worse than a set threshold.
- can analyze and develop algorithms for computationally intractable problems.
Level of Study
Semester of Instruction
Required Previous Knowledge
Recommended Previous Knowledge
Credit Reduction due to Course Overlap
Access to the Course
Teaching and learning methods
Compulsory Assignments and Attendance
Forms of Assessment
Up to 30% of the final grade may be based on course activities during the semester, such as in-class midterms or hand-in assignments. The students will be notified of these activities and their final weight in the grade at the beginning of the semester.
Examination both spring semester and autumn semester.
Activities that count towards the grade are valid for two semesters, the semester the course is taught and in the following semester.