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Planarity testing

In graph theory, the planarity testing problem is the algorithmic problem of testing whether a given graph is a planar graph (that is, whether it can be drawn in the plane without edge intersections). This is a well-studied problem in computer science for which many practical algorithms have emerged, many taking advantage of novel data structures. Most…

Science, Planarity criteria & Algorithms

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Overview

Planarity criteria

Algorithms

Advanced semantic analysis

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Map overview Semantic statistics

Planarity testing

Nodes56
Edges55
Triples59
Avg. degree1.96
Density0.035714
Components1

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Planarity testing

Top relations

related to Edge addition method · 20
Planarity testing → Algorithms, Boyer, Fraysseix, Furthermore, In, John Boyer, K3, K5, Kuratowski, Mendez, Myrvold, Ossona, Otherwise, PQ, Rosenstiehl, See, The, This, Wendy Myrvold, Williamson
related to Dynamic algorithms · 17
Planarity testing → Ackermann, Demaine, Di Battista, Dynamic Algorithms, Eppstein, Galil, Holm, In, Italiano, La Poutré, Planarity, Pătrașcu, Rotenberg, Sarnak, Spencer, Tamassia, Westbrook
related to Path addition method · 13
Planarity testing → Algorithms, An, Efficient Data, Hopcroft, In, Library, Mehlhorn, Mutzel, Näher, Tarjan, Tarjan's, Taylor, The
related to Planarity criteria · 8
Planarity testing → K3, K5, Kuratowski's, Planarity, Rosenstiehl, The Fraysseix, These, Wagner's

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Important terminology

graph planarity planar algorithms testing algorithm method vertices subgraph embedding time kuratowski edge graphs data methods edges problem addition construction

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
a Kuratowski subgraph if it is notinstance ofor an obstacle to planarity0.80text
Planarity testingrelated to Dynamic algorithmsPlanarity0.60section
Planarity testingrelated to Dynamic algorithmsDynamic Algorithms0.60section
Planarity testingrelated to Dynamic algorithmsIn0.60section
Planarity testingrelated to Dynamic algorithmsAckermann0.60section
Planarity testingrelated to Dynamic algorithmsLa Poutré0.60section
Planarity testingrelated to Dynamic algorithmsDi Battista0.60section
Planarity testingrelated to Dynamic algorithmsTamassia0.60section
Planarity testingrelated to Dynamic algorithmsWestbrook0.60section
Planarity testingrelated to Dynamic algorithmsPătrașcu0.60section
Planarity testingrelated to Dynamic algorithmsDemaine0.60section
Planarity testingrelated to Dynamic algorithmsHolm0.60section

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