Solving Connectivity Problems Parameterized by Treewidth in Single Exponential Time

@article{Cygan2011SolvingCP,
  title={Solving Connectivity Problems Parameterized by Treewidth in Single Exponential Time},
  author={Marek Cygan and Jesper Nederlof and Marcin Pilipczuk and Michal Pilipczuk and Johan M. M. van Rooij and J. Wojtaszczyk},
  journal={2011 IEEE 52nd Annual Symposium on Foundations of Computer Science},
  year={2011},
  pages={150-159}
}
For the vast majority of local problems on graphs of small tree width (where by local we mean that a solution can be verified by checking separately the neighbourhood of each vertex), standard dynamic programming techniques give c^tw |V|^O(1) time algorithms, where tw is the tree width of the input graph G = (V, E) and c is a constant. On the other hand, for problems with a global requirement (usually connectivity) the best -- known algorithms were naive dynamic programming schemes running in… Expand
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