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Fakultät für Mathematik und Informatik
Theoretische Informatik I
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Projects

Completed projects

DFG-Project PIAF (NI 369/4): “Fixed-Parameter Algorithms”

In the last few years fixed-parameter algorithms developed into an important alternative to heuristic and approximation algorithms for solving combinatorially hard problems. The main idea of fixed-parameter algorithms is to restrict the seemingly inherent combinatorial explosion of solving algorithms for these problems to problem-specific parameters. The project PIAF aims at an investigation of the research field of fixed-parameter algorithms also taking into regard practical aspects: Implementation and experiments with real-world data shall be an equally important component of the project. With respect to practical applications, we concentrate on central techniques such as data reduction by efficient preprocessing. We investigate fundamental problems as Vertex Cover and Dominating Set (in particular, variants of these problems arising in practice). The relationships of fields such as heuristic or approximation algorithms to fixed-parameter algorithms will also be part of our project.

DFG-Project DARE (GU 1023/1-1): “Data Reduction and Problem Kernels”

See the DARE project homepage for details.

DFG-Project PABI (NI 369/7-1): “Parameterized algorithmics for bioinformatics”

See the PABI project homepage for details.

DFG-Project AREG (NI 369/9-1): “Algorithms for Generating Quasi-Regular Structures in Graphs”

See the AREG project homepage for details.

DAAD-Project D/05/57666 (India–Germany Joint Research Collaboration): “Provably Efficient Exact Algorithms for Computationally Hard Problems”

This is a joint project with the group of Venkatesh Raman, Theoretical Computer Science at the Institute of Mathematical Sciences, Chennai, India.

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