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Games graph: Construction, Related graphs & Overview

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…

Language: English [EN]
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Games graph topic overview

The analysis highlights Construction, Related graphs and Overview as prominent areas in the source structure around Games graph.

Related topics
9
Source areas
3
Connected nodes
12
Extracted relationships
18
Concept neighborhoods
13
Bridge connections
12

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Construction · 4 topics
Related graphs · 3 topics
Overview · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Construction

Related graphs

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Games graph connects Entity context

The extracted context around Games graph shows recurring relationship patterns in the source. For example, Games graph → Berlekamp, Brouwer, Games, Haemers, PG, Rook's, Seidel, The, This, Van Lint, With Another extracted example is Games graph → AG, Each, PG, The, The Games, This. Use these groups to spot repeated connection types before inspecting the individual relationships.

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

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

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

Games graph relationships Subject–Predicate–Object triples

TTTA extracted 18 structured relationships around Games graph. Examples in this analysis include Games graph → is a → largest known locally linear strongly regular graph and Games graph → related to Construction → The. The table shows each extracted connection, where it came from and its confidence.

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

Related concept clusters Concept neighborhoods

The concept neighborhoods around Games graph bring nearby vocabulary together. In this analysis, examples include Graph, Regular and Strongly. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Games graph
    • Graph
    • Regular
    • Strongly
    • Cap
    • Set
    • Ag
    • Displaystyle
    • Linear
    • Locally
    • Related
    • Times
    • Pg
  • games graph
    • Regular
    • Strongly
    • Parameters
    • Displaystyle
    • Graph
    • Cap
    • Linear
    • Locally
    • Set
    • Ag
    • Graphs
    • Related
  • locally linear graph
    • Locally
    • Regular
    • Strongly
    • Non-adjacent
    • Parameters
    • Shared
    • Unique
    • Displaystyle
    • Neighbors
    • Cap
    • Linear
    • Set
  • strongly regular graph
    • Strongly
    • Parameters
    • Regular
    • Graphs
    • Displaystyle
    • Properties
    • Cap
    • Linear
    • Locally
    • Set
    • Pg
    • Triangle
  • cap set
    • Set
    • Points
    • Pg
    • Properties
    • Triangle
    • Displaystyle
    • Line
    • Three
    • Lines
    • Triangles
    • Graphs
    • Neighbors
  • affine space
    • Space
    • Points
    • Point
    • Displaystyle
    • Ag
    • Infinity
    • Vertices
    • Set
    • Line
    • Number
    • Three
    • Cap
  • points at infinity
    • Affine
    • Line
    • Set
    • Space
    • Three
    • Projective
    • Point
    • Triangle
    • Ag
    • Field
    • Geometry
    • Infinity
  • rook's graph
    • Regular
    • Strongly
    • Parameters
    • Displaystyle
    • Cap
    • Linear
    • Locally
    • Set
    • Graphs
    • Pg
    • Properties
    • Triangle

Connections between topic areas Semantic bridges

For Games graph, one of the stronger structural bridges in this analysis connects Games graph with Construction. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Games graph — Construction · splits 8 ⟂ 5
Games graph — Related graphs · splits 9 ⟂ 4
Games graph — Overview · splits 10 ⟂ 3

Map overview Semantic statistics

Games graph

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

Source & methodology

TTTA analyzes the structure around Games graph to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Construction, Related graphs & Overview, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Games graph · EN edition · Analysis: TopicsToTalkAbout

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