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Games graph

In graph theory, the Games graph is the largest known locally linear strongly regular graph. Its parameters as a strongly regular graph are (729,112,1,20). This means that it has 729 vertices, and 40824 edges (112 per vertex). Each edge is in a unique triangle (it is a locally linear graph) and each non-adjacent pair of vertices have exactly 20 shared…

Construction, Related graphs & Overview

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Overview

Construction

Related graphs

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Map overview Semantic statistics

Games graph

Nodes13
Edges12
Triples18
Avg. degree1.85
Density0.153846
Components1

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Games graph

Top relations

related to Related graphs · 11
Games graph → Berlekamp, Brouwer, Games, Haemers, PG, Rook's, Seidel, The, This, Van Lint, With
related to Construction · 6
Games graph → AG, Each, PG, The, The Games, This
is a · 1
Games graph → largest known locally linear strongly regular graph

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Important terminology

graph points set displaystyle cap strongly regular construction three affine games 729 vertices line triangle 112 properties pg space parameters

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Games graphis alargest known locally linear strongly regular graph0.90text
Games graphrelated to ConstructionThe0.60section
Games graphrelated to ConstructionPG0.60section
Games graphrelated to ConstructionThis0.60section
Games graphrelated to ConstructionAG0.60section
Games graphrelated to ConstructionThe Games0.60section
Games graphrelated to ConstructionEach0.60section
Games graphrelated to Related graphsWith0.60section
Games graphrelated to Related graphsRook's0.60section
Games graphrelated to Related graphsBrouwer0.60section
Games graphrelated to Related graphsHaemers0.60section
Games graphrelated to Related graphsGames0.60section

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    Min side: 3
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