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Graphon

In graph theory and statistics, a graphon (also known as a graph limit) is a symmetric measurable function W : [ 0 , 1 ] 2 → [ 0 , 1 ] {\displaystyle W:^{2}\to } , that is important in the study of dense graphs. Graphons arise both as a natural notion for the limit of a sequence of dense graphs, and as the fundamental defining objects of exchangeable…

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Overview

Statistical formulation

Analytic formulation

Applications

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Map overview Semantic statistics

Graphon

Nodes46
Edges45
Triples35
Avg. degree1.96
Density0.043478
Components1

How this topic connects Entity context

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Graphon

Top relations

related to The space of graphons · 6
Graphon → Moreover, One, The, These, This, We
related to Examples · 5
Graphon → Erdős, If, In, Rényi, The
related to Analytic formulation · 4
Graphon → Any, If, In, This
related to Recovering graph parameters from graphons · 4
Graphon → For, Given, Similar, This
related to Regularity lemma · 4
Graphon → Compactness, Define, Szemerédi's, The
related to Sidorenko's conjecture · 4
Graphon → For, Sidorenko's, Since, The
related to Statistical formulation · 3
Graphon → Each, Edge, Usually
related to Generalizations · 2
Graphon → Graphons, There
related to Graphon estimation · 2
Graphon → Due, One
is a · 1
Graphon → symmetric measurable function W

Important terminology Word statistics

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Important terminology

displaystyle graphs graph graphons random distance sequence square vertices two exchangeable adjacency cut limit lemma convergence definition matrix number function

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Graphonis asymmetric measurable function W0.90text
Graphonrelated to Analytic formulationAny0.60section
Graphonrelated to Analytic formulationThis0.60section
Graphonrelated to Analytic formulationIn0.60section
Graphonrelated to Analytic formulationIf0.60section
Graphonrelated to ExamplesThe0.60section
Graphonrelated to ExamplesIn0.60section
Graphonrelated to ExamplesErdős0.60section
Graphonrelated to ExamplesRényi0.60section
Graphonrelated to ExamplesIf0.60section
Graphonrelated to GeneralizationsGraphons0.60section
Graphonrelated to GeneralizationsThere0.60section

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    Min side: 3
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