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The Cartographer
An SPQR-Tree-Like Embedding Representation for Upward Planarity
August 01, 2019 Β· Declared Dead Β· π International Symposium Graph Drawing and Network Visualization
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Authors
Guido BrΓΌckner, Markus Himmel, Ignaz Rutter
arXiv ID
1908.00352
Category
cs.DS: Data Structures & Algorithms
Citations
9
Venue
International Symposium Graph Drawing and Network Visualization
Last Checked
4 months ago
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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