Local majorities, coalitions and monopolies in graphs: a review
Theoretical Computer Science
Maximizing the spread of influence through a social network
Proceedings of the ninth ACM SIGKDD international conference on Knowledge discovery and data mining
Hardness results and approximation algorithms of k-tuple domination in graphs
Information Processing Letters
On Dominating Sets and Independent Sets of Graphs
Combinatorics, Probability and Computing
Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
Parameterized Complexity Theory (Texts in Theoretical Computer Science. An EATCS Series)
Invitation to data reduction and problem kernelization
ACM SIGACT News
Parameterized Algorithms for Generalized Domination
COCOA 2008 Proceedings of the 2nd international conference on Combinatorial Optimization and Applications
Discrete Applied Mathematics
Kernelization: New Upper and Lower Bound Techniques
Parameterized and Exact Computation
On the Approximability of Influence in Social Networks
SIAM Journal on Discrete Mathematics
Fixed-Parameter Algorithms for Cluster Vertex Deletion
Theory of Computing Systems - Special Section: Algorithmic Game Theory; Guest Editors: Burkhard Monien and Ulf-Peter Schroeder
Networks, Crowds, and Markets: Reasoning About a Highly Connected World
Networks, Crowds, and Markets: Reasoning About a Highly Connected World
Bootstrap percolation in high dimensions
Combinatorics, Probability and Computing
Irreversible conversion of graphs
Theoretical Computer Science
Variants of spreading messages
WALCOM'10 Proceedings of the 4th international conference on Algorithms and Computation
Treewidth governs the complexity of target set selection
Discrete Optimization
New races in parameterized algorithmics
MFCS'12 Proceedings of the 37th international conference on Mathematical Foundations of Computer Science
Cluster vertex deletion: a parameterization between vertex cover and clique-width
MFCS'12 Proceedings of the 37th international conference on Mathematical Foundations of Computer Science
Parameterized Complexity
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Target Set Selection, which is a prominent NP-hard problem occurring in social network analysis and distributed computing, is notoriously hard both in terms of achieving useful approximation as well as fixed-parameter algorithms. The task is to select a minimum number of vertices into a "target set" such that all other vertices will become active in course of a dynamic process (which may go through several activation rounds). A vertex, which is equipped with a threshold value t, becomes active once at least t of its neighbors are active; initially, only the target set vertices are active. We contribute further insights into islands of tractability for Target Set Selection by spotting new parameterizations characterizing some sparse graphs as well as some "cliquish" graphs and developing corresponding fixed-parameter tractability and (parameterized) hardness results. In particular, we demonstrate that upper-bounding the thresholds by a constant may significantly alleviate the search for efficiently solvable, but still meaningful special cases of Target Set Selection.