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Planar graph

In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. In other words, it can be drawn in such a way that no edges cross each other. Such a drawing is called a plane graph, or a planar embedding of the graph. A plane graph can be…

Planarity criteria, Properties & Theorems

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Overview

Planarity criteria

Properties

Families of planar graphs

Theorems

Generalizations

Advanced semantic analysis

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Map overview Semantic statistics

Planar graph

Nodes116
Edges115
Triples131
Avg. degree1.98
Density0.017241
Components1

How this topic connects Entity context

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Planar graph

Top relations

related to References · 48
Planar graph → Applications, Bader, BF01594196, Boyer, Brendan, Brinkmann, Chvátal's, Combinatorial Theory, Computer Science, Eigenschaft, Foundations, Fraysseix, French, Fundamenta Mathematicae, German, Graph Algorithms, Graph Drawing, Gunnar, International Journal, John
related to External links · 17
Planar graph → An, Boost Graph Library, Boyer, Edge Addition Planarity Algorithm, Edge Addition Planarity Algorithms, Editor, Free, GPL, Graph Algorithm Library, John Tantalo's, Kuratowski, Myrvold, NetLogo, Planar GraphsNetLogo Planarity, Public Implementation, Source Code, Utilities Puzzle
related to Euler's formula · 7
Planar graph → As, Euler, Euler's, In, Repeat, Since, This
related to Outerplanar graphs · 7
Planar graph → Every, For, K2, K4, Kuratowski's, Outerplanar, The
related to Coin graphs · 6
Planar graph → Fáry's, If, Paul Koebe, The, This, We
related to Dual graph · 6
Planar graph → Duals, Furthermore, Given, If, The, Then
is a · 4
Planar graph → directed acyclic graph that can be drawn in the plane with its edges as non-crossing curves that are consistently oriented in an upward direction, graph that can be embedded in the plane, graph that may be drawn in the plane with at most one simple crossing per edge, subgraph of the strong graph product of a graph of treewidth at most 8 and a path
related to Average degree · 4
Planar graph → Connected, Euler's, Graphs, It
related to Halin graphs · 4
Planar graph → Equivalently, Every Halin, Halin, Like
related to Maximal planar graphs · 4
Planar graph → All, Every, If, The

Important terminology Word statistics

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Important terminology

graph planar graphs plane theorem edges vertices every planarity simple one edge faces embedding drawn also face genus two sphere

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Planar graphis agraph that can be embedded in the plane0.90text
Planar graphis adirected acyclic graph that can be drawn in the plane with its edges as non-crossing curves that are consistently oriented in an upward direction0.90text
Planar graphis asubgraph of the strong graph product of a graph of treewidth at most 8 and a path0.90text
Planar graphis agraph that may be drawn in the plane with at most one simple crossing per edge0.90text
connectednessinstance ofusually with additional assumptions0.80text
is called a planar mapinstance ofusually with additional assumptions0.80text
Planar graphrelated to Average degreeConnected0.60section
Planar graphrelated to Average degreeIt0.60section
Planar graphrelated to Average degreeEuler's0.60section
Planar graphrelated to Average degreeGraphs0.60section
Planar graphrelated to Coin graphsWe0.60section
Planar graphrelated to Coin graphsThe0.60section

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