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Your search keyword '"Niedermeier, Rolf"' showing total 6 results
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6 results on '"Niedermeier, Rolf"'

1. The Structural Complexity Landscape of Finding Balance-Fair Shortest Paths

Author

Bentert, Matthias, Kellerhals, Leon, and Niedermeier, Rolf

Subjects
Computer Science - Data Structures and Algorithms, Computer Science - Computational Complexity
Abstract

We study the parameterized complexity of finding shortest s-t-paths with an additional fairness requirement. The task is to compute a shortest path in a vertex-colored graph where each color appears (roughly) equally often in the solution. We provide a complete picture of the parameterized complexity landscape of the problem with respect to structural parameters by showing a tetrachotomy including polynomial kernels, fixed-parameter tractability, XP-time algorithms (and W[1]-hardness), and para-NP-hardness.

Published
2024

4. Fast Parameterized Preprocessing for Polynomial-Time Solvable Graph Problems.

Author

Himmel, Anne-Sophie, Mertzios, George B., Nichterlein, André, and Niedermeier, Rolf

Subjects
PARAMETERIZATION, POLYNOMIAL time algorithms, NP-hard problems, COMPUTATIONAL complexity, DATA structures
Abstract

This article examines the angle of parameterized preprocessing to overcome complexity barriers for polynomial-time solvable problems. Three concepts of parameterized preprocessing are explored in detail in this research- parameterized size reduction, parameterized structure simplification, and parameterized data structure design.

Published
2024
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