Seminar on Geometric and Parameterized Algorithms
- Lecturer: JProf Dr. Carolin Rehs
- Module: Seminar
- Type: 2 SWS seminar
- Moodle: tba
- Language: English / German
Description
In this seminar we will deal with current research topics in the field of geometric and parameterized algorithms, especially with topics in the intersection of computational geometry and graph parameters.
Prerequisites
Previous knowledge of at least one of the lectures "Algorithms and Data Structures" or "Geometric Algorithms" or comparable knowledge is expected.
Format
- block seminar
- 10-12 pages seminar thesis
- 25-30 min. seminar talk
- optional personal interim meetings
- peer-review phase before handing in the seminar thesis
Topics
Topics will base on a recently published paper that gives parameterized results on a problem in computational geometry. Possible topics include:
Parameterized algorithms for geometric graphs:
- Parameterized Study of Steiner Tree on Unit Disk Graphs
- Parameterized algorithms on geometric intersection graphs
- Near-Linear and Parameterized Approximations for Maximum Cliques in Disk Graphs
- (Almost-)Optimal FPT Algorithm and Kernel for T - Cycle on Planar Graphs
Modifying and recognizing geometric graphs:
- Parameterized Geometric Graph Modification with Disk Scaling
- The Parameterized Complexity of Geometric 1-Planarity
- Recognizing 2-Layer and Outer k-Planar Graphs
- Grid Recognition: Classical and Parameterized Computational Perspectives
Parameterized algorithms in graph drawing:
- Extending Orthogonal Planar Graph Drawings is Fixed-Parameter Tractable
- Tight Parameterized (In)tractability of Layered Crossing Minimization: Subexponential Algorithms and Kernelization
- Parameterized Approaches to Orthogonal Compaction
In case you found an interesting paper that fits in the scope of this seminar, it might be possible to add that as a seminar topic.
Language
- Seminar talks can be presented either in German or in English
Time plan:
- 13.4. Presentation of topics
- 20.4. Distribution of topics
- 11.5.-13.5. Interim meetings (seminar thesis)
- 8.6. Handing in seminar thesis for peer review
- 22.6. Handing in peer reviews
- 6.7. Handing in seminar thesis
- 13.-16.7. Interim meetings (seminar talk)
- 3.-5.8. Presentations
