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arXiv · 1908.00352

An SPQR-Tree-Like Embedding Representation for Upward Planarity

Guido Brückner·Markus Himmel·Ignaz Rutter
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Abstract

The SPQR-tree is a data structure that compactly represents all planar embeddings of a biconnected planar graph. It plays a key role in constrained planarity testing. We develop a similar data structure, called the UP-tree, that compactly represents all upward planar embeddings of a biconnected single-source directed graph. We demonstrate the usefulness of the UP-tree by solving the upward planar embedding extension problem for biconnected single-source directed graphs.

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Guido Brückner, Markus Himmel, Ignaz Rutter. 2019-08-01. An SPQR-Tree-Like Embedding Representation for Upward Planarity. https://arxiv.org/abs/1908.00352

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