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Thrackle

A thrackle is an embedding of a graph in the plane in which each edge is a Jordan arc and every pair of edges meet exactly once. Edges may either meet at a common endpoint, or, if they have no endpoints in common, at a point in their interiors. In the latter case, they must cross at their intersection point: the intersection must be transverse.

Linear thrackles, Thrackle conjecture & Known bounds

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Overview

Linear thrackles

Thrackle conjecture

Known bounds

Advanced semantic analysis

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Map overview Semantic statistics

Thrackle

Nodes35
Edges34
Triples41
Avg. degree1.94
Density0.057143
Components1

How this topic connects Entity context

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Thrackle

Top relations

related to Linear thrackles · 11
Thrackle → After, As Paul Erdős, Based, Erdős, Erdős's, For, However, If, Removing, Then, There
related to Known bounds · 9
Thrackle → As, For, If, Lovász, Pach, Since, Szegedy, The, Therefore
related to Generalized thrackles · 8
Thrackle → Consequently, For, In, The, These, This, Using, While Conway's
related to Thrackle conjecture · 8
Thrackle → Conway, Conway's, Danzer, Equivalently, John, More, Sylver, Woodall
is a · 5
Thrackle → embedding of a graph in the plane in which each edge is a Jordan arc and every pair of edges meet exactly once, planar graph, pseudoforest, thrackle drawn in such a way that its edges are straight line segments, type of generalized thrackle with an additional constraint

Important terminology Word statistics

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Important terminology

edges linear vertices every displaystyle number thrackles generalized conjecture cycle edge graph drawn line form one must pair vertex two

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Thrackleis aembedding of a graph in the plane in which each edge is a Jordan arc and every pair of edges meet exactly once0.90text
Thrackleis athrackle drawn in such a way that its edges are straight line segments0.90text
Thrackleis apseudoforest0.90text
Thrackleis aplanar graph0.90text
Thrackleis atype of generalized thrackle with an additional constraint0.90text
Thracklerelated to Generalized thracklesIn0.60section
Thracklerelated to Generalized thracklesThese0.60section
Thracklerelated to Generalized thracklesThis0.60section
Thracklerelated to Generalized thracklesConsequently0.60section
Thracklerelated to Generalized thracklesThe0.60section
Thracklerelated to Generalized thracklesWhile Conway's0.60section
Thracklerelated to Generalized thracklesUsing0.60section

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