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Incidence structure

In mathematics, an incidence structure is an abstract system consisting of two types of objects and a single relationship between these types of objects. Consider the points and lines of the Euclidean plane as the two types of objects and ignore all the properties of this geometry except for the relation of which points are incident on which lines for…

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Overview

Formal definition and terminology

Examples

Dual structure

Other terminology

Representations

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Map overview Semantic statistics

Incidence structure

Nodes75
Edges74
Triples56
Avg. degree1.97
Density0.026667
Components1

How this topic connects Entity context

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Incidence structure

Top relations

related to Examples · 8
Incidence structure → An, Each, Fano, Generalized, Kantor, Möbius, Non-uniform, Pappus
related to Generalization · 8
Incidence structure → Formally, It, P1, P2, Pi, Pj, Pk, The Levi
related to Formal definition and terminology · 6
Incidence structure → An, If, In, Incidence, The, This
related to Pictorial representations · 6
Incidence structure → An, As, Compare, In, The, These
related to Incidence graph (Levi graph) · 5
Incidence structure → As, Coxeter, Each, Levi, The
related to Block designs · 4
Incidence structure → As, If, Normally, The
is a · 3
Incidence structure → abstract system consisting of two types of objects and a single relationship between these types of objects, graph.RealizabilityIncidence structures can be modelled by points and curves in the Euclidean plane with the usual geometric meaning of incidence, triple
related to Linear spaces · 3
Incidence structure → Any, For, Incidence
related to Other terminology · 3
Incidence structure → Incidence, The, They
related to Graphs · 2
Incidence structure → Any, For

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Important terminology

incidence structure points lines graph plane structures line called two example fano matrix set design geometry objects block incident types

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Incidence structureis aabstract system consisting of two types of objects and a single relationship between these types of objects0.90text
Incidence structureis atriple0.90text
Incidence structureis agraph.RealizabilityIncidence structures can be modelled by points and curves in the Euclidean plane with the usual geometric meaning of incidence0.90text
Incidence structurerelated to Block designsNormally0.60section
Incidence structurerelated to Block designsAs0.60section
Incidence structurerelated to Block designsIf0.60section
Incidence structurerelated to Block designsThe0.60section
Incidence structurerelated to ExamplesFano0.60section
Incidence structurerelated to ExamplesNon-uniform0.60section
Incidence structurerelated to ExamplesGeneralized0.60section
Incidence structurerelated to ExamplesMöbius0.60section
Incidence structurerelated to ExamplesKantor0.60section

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