Results 11 to 20 of about 150,456 (276)

A Survey on Approximation in Parameterized Complexity: Hardness and Algorithms

open access: yesAlgorithms, 2020
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
doaj   +3 more sources

Parameterized complexity of machine scheduling: 15 open problems

open access: yesComputers and Operations Research, 2018
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
core   +3 more sources

New Algorithms for Mixed Dominating Set [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2021
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
doaj   +1 more source

Parameterized complexity of synchronization and road coloring [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
Automata, Logic and ...
Vojtěch Vorel, Adam Roman
doaj   +1 more source

Clique Transversal Variants on Graphs: A Parameterized-Complexity Perspective

open access: yesMathematics, 2023
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
doaj   +1 more source

Incremental FPT Delay

open access: yesAlgorithms, 2020
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
doaj   +1 more source

On the Descriptive Complexity of Color Coding

open access: yesAlgorithms, 2021
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
doaj   +1 more source

Parameterized Complexity of Diameter [PDF]

open access: yesAlgorithmica, 2019
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
openaire   +4 more sources

Improving Vertex Cover as a Graph Parameter [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
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
doaj   +1 more source

Parameterized Complexity of Gerrymandering

open access: yes, 2023
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
openaire   +2 more sources

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