Combinatorial Optimization on Graphs of Bounded Treewidth

@article{Bodlaender2008CombinatorialOO,
  title={Combinatorial Optimization on Graphs of Bounded Treewidth},
  author={Hans L. Bodlaender and Arie M. C. A. Koster},
  journal={Comput. J.},
  year={2008},
  volume={51},
  pages={255-269}
}
There are many graph problems that can be solved in linear or polynomial time with a dynamic programming algorithm when the input graph has bounded treewidth. For combinatorial optimization problems, this is a useful approach for obtaining fixed-parameter tractable algorithms. Starting from trees and series-parallel graphs, we introduce the concepts of treewidth and tree decompositions, and illustrate the technique with the Weighted Independent Set problem as an example. The paper surveys some… 

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