Simultaneous FPQ-ordering and hybrid planarity testing.

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Bibliographic Details
Title: Simultaneous FPQ-ordering and hybrid planarity testing.
Authors: Liotta, Giuseppe1 (AUTHOR) giuseppe.liotta@unipg.it, Rutter, Ignaz2 (AUTHOR) rutter@fim.uni-passau.de, Tappini, Alessandra1 (AUTHOR) alessandra.tappini@unipg.it
Source: Theoretical Computer Science. Jun2021, Vol. 874, p59-79. 21p.
Subjects: Definitions
Abstract: We introduce and study 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 novel definition of fixedness that makes it possible to simplify and extend known techniques about Simultaneous PQ-Ordering. We exploit this result to study different versions of the hybrid planarity testing problem. Namely, we show polynomial-time solutions for a variant of NodeTrix Planarity with fixed sides, for PolyLink Planarity , and for Clique Planarity with fixed sides. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:We introduce and study 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 novel definition of fixedness that makes it possible to simplify and extend known techniques about Simultaneous PQ-Ordering. We exploit this result to study different versions of the hybrid planarity testing problem. Namely, we show polynomial-time solutions for a variant of NodeTrix Planarity with fixed sides, for PolyLink Planarity , and for Clique Planarity with fixed sides. [ABSTRACT FROM AUTHOR]
ISSN:03043975
DOI:10.1016/j.tcs.2021.05.012