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arXiv · 1910.10113

Simultaneous FPQ-Ordering and Hybrid Planarity Testing

Giuseppe Liotta·Ignaz Rutter·Alessandra Tappini
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Abstract

We study the interplay between embedding constrained planarity and hybrid planarity testing. We consider a constrained planarity testing problem, called 1-Fixed Constrained Planarity, and prove that this problem can be solved in quadratic time for biconnected graphs. Our solution is based on a new definition of fixedness that makes it possible to simplify and extend known techniques about Simultaneous PQ-Ordering. We apply these results to different variants of hybrid planarity testing, including a relaxation of NodeTrix Planarity with fixed sides, that allows rows and columns to be independently permuted.

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Giuseppe Liotta, Ignaz Rutter, Alessandra Tappini. 2019-10-22. Simultaneous FPQ-Ordering and Hybrid Planarity Testing. https://arxiv.org/abs/1910.10113

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