Width Parameters Beyond Tree-width and their Applications

@article{Hlinn2008WidthPB,
  title={Width Parameters Beyond Tree-width and their Applications},
  author={Petr Hliněn{\'y} and Sang-il Oum and Detlef Seese and Georg Gottlob},
  journal={Comput. J.},
  year={2008},
  volume={51},
  pages={326-362}
}
Besides the very successful concept of tree-width (see [Bodlaender, H. and Koster, A. (2007) Combinatorial optimisation on graphs of bounded treewidth. These are special issues on Parameterized Complexity]), many concepts and parameters measuring the similarity or dissimilarity of structures compared to trees have been born and studied over the past years. These concepts and parameters have proved to be useful tools in many applications, especially in the design of efficient algorithms. Our… 
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