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Polygonalization

In computational geometry, a polygonalization of a finite set of points in the Euclidean plane is a simple polygon with the given points as its vertices. A polygonalization may also be called a polygonization, simple polygonalization, Hamiltonian polygon, non-crossing Hamiltonian cycle, or crossing-free straight-edge spanning cycle.

Applications, Existence & Counting

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Overview

Definition

Existence

Optimization

Counting

Generation

Applications

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Map overview Semantic statistics

Polygonalization

Nodes45
Edges44
Triples49
Avg. degree1.96
Density0.044444
Components1

How this topic connects Entity context

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Polygonalization

Top relations

related to Existence · 16
Polygonalization → After, As, Because, For, Graham, Grünbaum, However, If, Instead, One, Polygonalizations, Steinhaus, The, Their, Then, This
related to Generation · 10
Polygonalization → Another, As, For, If, It, The, There, They, VE-flip, VE-flips
related to Optimization · 8
Polygonalization → For, It, NP-hard, Problems, Similarly, The, Therefore, Using
related to Counting · 7
Polygonalization → Dynamic, However, Methods, NP, P-complete, The, There
related to Definition · 5
Polygonalization → Euclidean, However, Some, When, With
has application · 2
Polygonalization → Classical, The
is a · 1
Polygonalization → simple polygon having a given set of points in the Euclidean plane as its set of vertices

Important terminology Word statistics

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Important terminology

points polygonalizations polygon set time point line one simple displaystyle given polynomial problem vertices may every convex also two optimization

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Polygonalizationis asimple polygon having a given set of points in the Euclidean plane as its set of vertices0.90text
Polygonalizationhas applicationClassical0.60section
Polygonalizationhas applicationThe0.60section
Polygonalizationrelated to CountingThe0.60section
Polygonalizationrelated to CountingNP0.60section
Polygonalizationrelated to CountingHowever0.60section
Polygonalizationrelated to CountingP-complete0.60section
Polygonalizationrelated to CountingThere0.60section
Polygonalizationrelated to CountingMethods0.60section
Polygonalizationrelated to CountingDynamic0.60section
Polygonalizationrelated to DefinitionEuclidean0.60section
Polygonalizationrelated to DefinitionSome0.60section

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    Min side: 3
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