Results 31 to 40 of about 149,306 (281)
Parameterized Complexity of Superstring Problems [PDF]
In the Shortest Superstring problem we are given a set of strings $S=\{s_1, \ldots, s_n\}$ and integer $\ell$ and the question is to decide whether there is a superstring $s$ of length at most $\ell$ containing all strings of $S$ as substrings. We obtain several parameterized algorithms and complexity results for this problem. In particular, we give an
Ivan Bliznets +5 more
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A Compendium of Parameterized Problems at Higher Levels of the Polynomial Hierarchy
We present a list of parameterized problems together with a complexity classification of whether they allow a fixed-parameter tractable reduction to SAT or not.
Ronald de Haan, Stefan Szeider
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The Parameterized Complexity of the Rainbow Subgraph Problem
The NP-hard RAINBOW SUBGRAPH problem, motivated from bioinformatics, is to find in an edge-colored graph a subgraph that contains each edge color exactly once and has at most \(k\) vertices.
Falk Hüffner +3 more
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Paradigms for Parameterized Enumeration [PDF]
The aim of the paper is to examine the computational complexity and algorithmics of enumeration, the task to output all solutions of a given problem, from the point of view of parameterized complexity.
D. Marx +7 more
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Parameterized complexity of firefighting
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Bazgan, Cristina +5 more
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This Special Issue contains eleven articles—surveys and research papers—that represent fresh and ambitious new directions in the area of Parameterized Complexity. They provide ground-breaking research at the frontiers of knowledge, and they contribute to
Neeldhara Misra +2 more
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Parameterized Complexity of Graph Burning
AbstractGraph Burning asks, given a graph $$G = (V,E)$$ G = ( V , E ) and an integer k, whether there exists $$(b_{0},\dots ,b_{k-1}) \in V^{k}$$
Yasuaki Kobayashi, Yota Otachi
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Describing Parameterized Complexity Classes
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Flum, Jörg, Grohe, Martin
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The Burning Number of Directed Graphs: Bounds and Computational Complexity
The burning number of a graph was recently introduced by Bonato et al. Although they mention that the burning number generalizes naturally to directed graphs, no further research on this has been done. Here, we introduce graph burning for directed graphs,
Remie Janssen
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Parameterized Complexity of 1-Planarity [PDF]
We consider the problem of drawing graphs with at most one crossing per edge. These drawings, and the graphs that can be drawn in this way, are called $1$-planar. Finding $1$-planar drawings is known to be ${\mathsf{NP}}$-hard, but we prove that it is fixed-parameter tractable with respect to the vertex cover number, tree-depth, and cyclomatic number ...
Bannister, Michael J. +2 more
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