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A Survey on Approximation in Parameterized Complexity: Hardness and Algorithms
Parameterization and approximation are two popular ways of coping with NP-hard problems. More recently, the two have also been combined to derive many interesting results.
Andreas Emil Feldmann +3 more
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Parameterized complexity of machine scheduling: 15 open problems
Machine scheduling problems are a long-time key domain of algorithms and complexity research. A novel approach to machine scheduling problems are fixed-parameter algorithms.
Mnich, Matthias, van Bevern, René
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New Algorithms for Mixed Dominating Set [PDF]
A mixed dominating set is a collection of vertices and edges that dominates all vertices and edges of a graph. We study the complexity of exact and parameterized algorithms for \textsc{Mixed Dominating Set}, resolving some open questions.
Louis Dublois +2 more
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Parameterized complexity of synchronization and road coloring [PDF]
Automata, Logic and ...
Vojtěch Vorel, Adam Roman
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Clique Transversal Variants on Graphs: A Parameterized-Complexity Perspective
The clique transversal problem and its variants have garnered significant attention in the last two decades due to their practical applications in communication networks, social-network theory and transceiver placement for cellular telephones.
Chuan-Min Lee
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In this paper, we study the relationship of parameterized enumeration complexity classes defined by Creignou et al. (MFCS 2013). Specifically, we introduce two hierarchies (IncFPTa and CapIncFPTa) of enumeration complexity classes for incremental fpt ...
Arne Meier
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On the Descriptive Complexity of Color Coding
Color coding is an algorithmic technique used in parameterized complexity theory to detect “small” structures inside graphs. The idea is to derandomize algorithms that first randomly color a graph and then search for an easily-detectable, small color ...
Max Bannach, Till Tantau
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Parameterized Complexity of Diameter [PDF]
AbstractDiameter—the task of computing the length of a longest shortest path—is a fundamental graph problem. Assuming the Strong Exponential Time Hypothesis, there is no $$O(n^{1.99})$$ O ( n 1.99
Bentert, Matthias, Nichterlein , André
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Improving Vertex Cover as a Graph Parameter [PDF]
Parameterized algorithms are often used to efficiently solve NP-hard problems on graphs. In this context, vertex cover is used as a powerful parameter for dealing with graph problems which are hard to solve even when parameterized by tree-width; however,
Robert Ganian
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Parameterized Complexity of Gerrymandering
In a representative democracy, the electoral process involves partitioning geographical space into districts which each elect a single representative. These representatives craft and vote on legislation, incentivizing political parties to win as many districts as possible (ideally a plurality). Gerrymandering is the process by which district boundaries
Andrew Fraser +2 more
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