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Paley graph

In mathematics, Paley graphs are undirected graphs constructed from the members of a suitable finite field by connecting pairs of elements that differ by a quadratic residue. The Paley graphs form an infinite family of conference graphs, which yield an infinite family of symmetric conference matrices. Paley graphs allow graph-theoretic tools to be…

Measurement, Properties & Overview

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Key facts & relationships

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Diameter
2
Edges
q(q − 1)/4
Named after
Raymond Paley
Notation
QR(q)
Properties
Strongly regular Conference graph Self-complementary
Vertices
q ≡ 1 mod 4, q prime power

Topics to explore

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Overview

Definition

Properties

Paley digraphs

Genus

Advanced semantic analysis

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Map overview Semantic statistics

Paley graph

Nodes50
Edges49
Triples40
Avg. degree1.96
Density0.04
Components1

How this topic connects Entity context

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Paley graph

Top relations

related to Further reading · 15
Paley graph → Baker, Broere, Döman, Ebert, Hemmeter, Inference, Maximal, Paley, Plann, Quaestiones Mathematicae, Ridley, S0378-3758, Statist, The, Woldar
related to Genus · 9
Paley graph → Bojan Mohar, Euler, Mohar, More, Paley, Specifically, The, Therefore, Whitney
related to External links · 6
Paley graph → Andries, Bojan, Brouwer, Genus, Mohar, Paley
related to Properties · 3
Paley graph → One, Paley, The Paley
Diameter · 1
Paley graph → 2
Edges · 1
Paley graph → q(q − 1)/4
Named after · 1
Paley graph → Raymond Paley
Notation · 1
Paley graph → QR(q)
Properties · 1
Paley graph → Strongly regular Conference graph Self-complementary
Vertices · 1
Paley graph → q ≡ 1 mod 4, q prime power

Important terminology Word statistics

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Important terminology

paley graphs graph order square mod conference quadratic matrices 13 properties sachs erdős rényi genus fq number vertex prime vertices

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Paley graphDiameter21.00infobox
Paley graphEdgesq(q − 1)/41.00infobox
Paley graphNamed afterRaymond Paley1.00infobox
Paley graphNotationQR(q)1.00infobox
Paley graphPropertiesStrongly regular Conference graph Self-complementary1.00infobox
Paley graphVerticesq ≡ 1 mod 4, q prime power1.00infobox
Paley graphis aHamiltonian circulant graph.Paley graphs are quasi-random0.90text
Paley graphrelated to External linksBrouwer0.60section
Paley graphrelated to External linksAndries0.60section
Paley graphrelated to External linksPaley0.60section
Paley graphrelated to External linksMohar0.60section
Paley graphrelated to External linksBojan0.60section

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    Min side: 3
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