Project information

Structural properties, parameterized tractability and hardness in combinatorial problems

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Project Identification
GA17-00837S
Project Period
1/2017 - 12/2019
Investor / Pogramme / Project type
Czech Science Foundation
MU Faculty or unit
Faculty of Informatics

The concept of parameterized tractability allows for guaranteed efficient solutions of some instances - as determined by the parameter, of problems which are intractable in their full generality. Our proposal addresses various questions belonging to theoretical foundations of parameterized algorithmics, namely those related to structural and topological graph theory, and to logic and interpretations in graphs. Among the problems we propose to investigate are algorithmic metatheorems for FO properties on dense graph classes, FO interpretations in sparse classes and their structural characterizations, parameterized tractability of graph crossing number and planar insertion problems, structural characterization of crossing-critical graphs, and other.

Publications

Total number of publications: 8