https://www.dagstuhl.de/23291

July 16 – 21 , 2023, Dagstuhl Seminar 23291

Parameterized Approximation: Algorithms and Hardness

Organizers

Karthik C. S. (Rutgers University – New Brunswick, US)
Parinya Chalermsook (Aalto University, FI)
Joachim Spoerhase (MPI für Informatik – Saarbrücken, DE)
Meirav Zehavi (Ben Gurion University – Beer Sheva, IL)

For support, please contact

Susanne Bach-Bernhard for administrative matters

Michael Gerke for scientific matters

Motivation

Parameterization and approximation are two popular approaches of coping with intractability in combinatorial optimization. They have gained substantial maturity over the last decades, leading to tight bounds for many fundamental computational problems and beautiful algorithmic techniques that show surprising interplay between algorithms and various areas of mathematics. In this Dagstuhl Seminar, we study parameterized approximation as a relatively new algorithmic paradigm that combines these two popular research areas. In particular, we analyze the solution quality (approximation ratio) as well as the running time of an algorithm in terms of a parameter that captures the “complexity” of a problem instance.

While the field has grown and yielded some promising results, our understanding of the area is rather ad-hoc compared to our knowledge in approximation or parameterized algorithms alone. The goal of this seminar is to work towards bridging this gap. We want to bring together researchers from both communities in order to accommodate the unification of scientific knowledge. (i) We aim at fostering a transfer of techniques between the classic fields of approximation and parameterization. We will discuss how recent developments in one research area can be transferred to another. The exchange of state-of-the-art techniques will be achieved through several invited tutorials that will be delivered by top experts in the two fields. (ii) We plan to systematically identify new research programs and concrete open problems in research areas that are relevant to parameterized approximation. This goal will be achieved through several panel discussions led by experts in selected areas. (iii) We will bolster the creation of new collaborations between researchers in the two communities by encouraging the participants to actively discuss the suggested directions for open problems. In particular, we will reserve time slots for research discussions dedicated for this purpose.

Motivation text license
  Creative Commons BY 4.0
  Karthik C. S., Parinya Chalermsook, Joachim Spoerhase, and Meirav Zehavi

Classification

  • Computational Complexity
  • Data Structures And Algorithms
  • Discrete Mathematics

Keywords

  • Combinatorial Optimization
  • Approximation Algorithms
  • Parameterized Complexity
  • Hardness of Approximation

Documentation

In the series Dagstuhl Reports each Dagstuhl Seminar and Dagstuhl Perspectives Workshop is documented. The seminar organizers, in cooperation with the collector, prepare a report that includes contributions from the participants' talks together with a summary of the seminar.

 

Download overview leaflet (PDF).

Dagstuhl's Impact

Please inform us when a publication was published as a result from your seminar. These publications are listed in the category Dagstuhl's Impact and are presented on a special shelf on the ground floor of the library.

Publications

Furthermore, a comprehensive peer-reviewed collection of research papers can be published in the series Dagstuhl Follow-Ups.