Seminar “Coping with NP-hard problems by using parameterized algorithms”

Seminar “Coping with NP-hard problems by using parameterized algorithms”

Seminar with Professor Jan Arne Telle, Department of Informatics, University of Bergen

16 september 2021, 4PM

Room 336 INESC-ID

“Coping with NP-hard problems by using parameterized algorithms”

The talk will give an introduction to the field of parameterized complexity, which focuses on classifying computational problems according to their inherent difficulty with respect to /multiple/ parameters of the input. The complexity of a problem is then measured as a function of those parameters.

This allows the classification of NP-hard problems on a finer scale than in the classical setting, where the complexity of a problem is only measured as a function of the number of bits in the input.

We will give some concrete applications:

1 A kernelization algorithm for k-Vertex Cover (k-VC, use natural parameter).

2 A Fixed Parameter Tractable (FPT) algorithm for k-VC.

3 Dominating Set (DS) is not FPT for the natural parameter.

4 Introduce Treewidth tw.

5 DS is FPT parameterized by tw.

6 A hierarchy of graph parameters.

7 An application to satisfiability

The event is finished.


INESC-ID, “Instituto de Engenharia de Sistemas e Computadores: Investigação e Desenvolvimento em Lisboa” is a Research and Development and Innovation Organization (R&D+i) in the fields of Computer Science and Electrical and Computer Engineering. INESC-ID mission is to produce added value to people and society, supporting the response of public policies to scientific, health, environmental, cultural, social, economic and political challenges. INESC-ID promotes cooperation between academia and industry by addressing research on daily life issues, such as healthcare, space, mobility, agri-food, industry 4.0, and smart grids. This high level of knowledge transfer is achieved through both competitive research projects and direct contracted research. Public and private entities have therefore access to a pool of knowledge, resources and services provided through the unique competencies available at the institution.


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