Dynamic Data Structure for Tree-Depth Decomposition

@article{Dvorak2013DynamicDS,
  title={Dynamic Data Structure for Tree-Depth Decomposition},
  author={Zdenek Dvorak and Martin Kupec and Vojtech Tuma},
  journal={CoRR},
  year={2013},
  volume={abs/1307.2863}
}
We present a dynamic data structure for representing a graph G with tree-depth at most D. Tree-depth is an important graph parameter which arose in the study of sparse graph classes. The structure allows addition and removal of edges and vertices such that the resulting graph still has tree-depth at most D, in time bounds depending only on D. A tree-depth decomposition of the graph is maintained explicitly. This makes the data structure useful for dynamization of static algorithms for graphs… CONTINUE READING

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