An SPQR-Tree-Like Embedding Representation for Level Planarity

@article{Brckner2020AnSE,
  title={An SPQR-Tree-Like Embedding Representation for Level Planarity},
  author={Guido Br{\"u}ckner and Ignaz Rutter},
  journal={ArXiv},
  year={2020},
  volume={abs/2009.12309}
}
An SPQR-tree is a data structure that efficiently represents all planar embeddings of a biconnected planar graph. It is a key tool in a number of constrained planarity testing algorithms, which seek a planar embedding of a graph subject to some given set of constraints. We develop an SPQR-tree-like data structure that represents all levelplanar embeddings of a biconnected level graph with a single source, called the LP-tree, and give a simple algorithm to compute it in linear time. Moreover, we… 

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