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Moore graph: Art, Examples & Overview

In graph theory, a Moore graph is a regular graph whose girth (the shortest cycle length) is more than twice its diameter (the distance between the farthest two vertices). If the degree of such a graph is d and its diameter is k, its girth must equal 2k + 1. This is true, for a graph of degree d and diameter k, if and only if its number of vertices (its…

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Moore graph topic overview

The analysis highlights Art, Examples and Overview as prominent areas in the source structure around Moore graph.

Related topics
26
Source areas
3
Connected nodes
29
Extracted relationships
95
Concept neighborhoods
25
Bridge connections
29

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.

Overview · 13 topics
Examples · 12 topics
Bounding vertices by degree and diameter · 1 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

Bounding vertices by degree and diameter

Examples

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 Moore graph connects Entity context

The extracted context around Moore graph shows recurring relationship patterns in the source. For example, Moore graph → Alan, Alfréd, American Mathematical Monthly, Azarija, Bibcode, Béla, Cambridge Philosophical Society, Convex Cycles, Cycles Are Extremal Graphs, Dalfó, Development, Faculty, Graduate Texts, Graph Theory, Hoffman, Hungar, IBM Journal, Ito, Its Applications, Jernej Another extracted example is Moore graph → C2n, C5, Damerell, Kn, Moore, Singleton, The, The Hoffman, The Petersen, Therefore, This. Use these groups to spot repeated connection types before inspecting the individual relationships.

Moore graph

Top relations

related to References · 58
Moore graph → Alan, Alfréd, American Mathematical Monthly, Azarija, Bibcode, Béla, Cambridge Philosophical Society, Convex Cycles, Cycles Are Extremal Graphs, Dalfó, Development, Faculty, Graduate Texts, Graph Theory, Hoffman, Hungar, IBM Journal, Ito, Its Applications, Jernej
related to Examples · 11
Moore graph → C2n, C5, Damerell, Kn, Moore, Singleton, The, The Hoffman, The Petersen, Therefore, This
related to Moore graphs as cages · 10
Moore graph → At, Choose, Each Moore, In, Instead, Moore, Suppose, Therefore, This, Thus
related to Bounding vertices by degree and diameter · 8
Moore graph → Hoffman, In, Let, Moore, Singleton, Therefore, This, Thus
related to External links · 6
Moore graph → Brouwer, Eric, Haemers, Hoffman-Singleton Theorem, MathWorld, Spectra
is a · 2
Moore graph → cage, regular graph whose girth

Important terminology

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

Important terminology

moore graph graphs diameter girth vertices degree number must cycles singleton 2k possible hoffman order tree level doi mr search

Moore graph relationships Subject–Predicate–Object triples

TTTA extracted 95 structured relationships around Moore graph. Examples in this analysis include Moore graph → is a → regular graph whose girth and Moore graph → is a → cage. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Moore graphis aregular graph whose girth0.90text
Moore graphis acage0.90text
Moore graphrelated to Bounding vertices by degree and diameterLet0.60section
Moore graphrelated to Bounding vertices by degree and diameterThis0.60section
Moore graphrelated to Bounding vertices by degree and diameterIn0.60section
Moore graphrelated to Bounding vertices by degree and diameterThus0.60section
Moore graphrelated to Bounding vertices by degree and diameterHoffman0.60section
Moore graphrelated to Bounding vertices by degree and diameterSingleton0.60section
Moore graphrelated to Bounding vertices by degree and diameterMoore0.60section
Moore graphrelated to Bounding vertices by degree and diameterTherefore0.60section
Moore graphrelated to ExamplesThe Hoffman0.60section
Moore graphrelated to ExamplesSingleton0.60section

Related concept clusters Concept neighborhoods

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

  • Moore graph
    • Graphs
    • Moore
    • Girth
    • Vertices
    • Diameter
    • Number
    • Degree
    • Singleton
    • Doi
    • Cycles
    • Odd
    • Mr
  • moore graph
    • Graphs
    • Moore
    • Girth
    • Vertices
    • Degree
    • Number
    • Diameter
    • Singleton
    • Bound
    • Doi
    • Mr
    • Theory
  • graph theory
    • Moore
    • Girth
    • Vertices
    • Degree
    • Number
    • Diameter
    • Graphs
    • Doi
    • Mr
    • Singleton
    • Bound
    • Theory
  • regular graph
    • Moore
    • Girth
    • Vertices
    • Degree
    • Number
    • Diameter
    • Graphs
    • Singleton
    • Also
    • Length
    • Showed
    • Bound
  • girth
    • Graph
    • Degree
    • Moore
    • 2k
    • Vertices
    • Diameter
    • Graphs
    • Even
    • Minimum
    • Number
    • Possible
    • Cycles
  • diameter
    • Degree
    • Graphs
    • Graph
    • Moore
    • Girth
    • Maximum
    • Order
    • Cycles
    • Vertices
    • Singleton
    • Regular
    • Showed
  • vertices
    • Number
    • Graph
    • Level
    • Moore
    • Girth
    • Degree
    • Bound
    • Vertex
    • Tree
    • Graphs
    • Maximum
    • Diameter
  • degree
    • Diameter
    • Girth
    • Graphs
    • Graph
    • Number
    • Minimum
    • Order
    • Vertices
    • Moore
    • Maximum
    • Therefore
    • Possible

Connections between topic areas Semantic bridges

For Moore graph, one of the stronger structural bridges in this analysis connects Moore graph with Overview. 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
Moore graph — Overview · splits 16 ⟂ 14
Moore graph — Examples · splits 17 ⟂ 13

Map overview Semantic statistics

Moore graph

Nodes30
Edges29
Triples95
Avg. degree1.93
Density0.066667
Components1

Source & methodology

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

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

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