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Laman graph

In graph theory, the Laman graphs are a family of sparse graphs describing the minimally rigid systems of rods and joints in the plane. Formally, a Laman graph is a graph on n {\displaystyle n} vertices such that, for all k ≥ 2 {\displaystyle k\geq 2} , every k {\displaystyle k} -vertex subgraph has at most 2 k − 3 {\displaystyle 2k-3} edges, and such…

Sparsity, Rigidity & Planarity

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Overview

Rigidity

Planarity

Sparsity

Henneberg construction

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Map overview Semantic statistics

Laman graph

Nodes31
Edges30
Triples25
Avg. degree1.94
Density0.064516
Components1

How this topic connects Entity context

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Laman graph

Top relations

related to Henneberg construction · 7
Laman graph → Add, Before Laman's, Geiringer's, Henneberg, Laman, Lebrecht Henneberg, Subdivide
related to Sparsity · 7
Laman graph → Based, Laman, Lee, Streinu, The, Theran, Thus
related to Rigidity · 6
Laman graph → Euclidean, However, If, Intuitively, Laman, Thus
related to Planarity · 4
Laman graph → However, K3, Laman, The
is a · 1
Laman graph → graph on n

Important terminology Word statistics

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Important terminology

graph laman graphs rigid vertices edges edge planar vertex exactly one minimally displaystyle every subgraph used however henneberg given degrees

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Laman graphis agraph on n0.90text
Laman graphrelated to Henneberg constructionBefore Laman's0.60section
Laman graphrelated to Henneberg constructionGeiringer's0.60section
Laman graphrelated to Henneberg constructionLebrecht Henneberg0.60section
Laman graphrelated to Henneberg constructionLaman0.60section
Laman graphrelated to Henneberg constructionHenneberg0.60section
Laman graphrelated to Henneberg constructionAdd0.60section
Laman graphrelated to Henneberg constructionSubdivide0.60section
Laman graphrelated to PlanarityThe0.60section
Laman graphrelated to PlanarityLaman0.60section
Laman graphrelated to PlanarityHowever0.60section
Laman graphrelated to PlanarityK30.60section

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    Min side: 3
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