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Holt graph: Overview & Gallery

In graph theory, the Holt graph or Doyle graph is the smallest half-transitive graph, that is, the smallest example of a vertex-transitive and edge-transitive graph which is not also symmetric. Such graphs are not common. It is named after Peter G. Doyle and Derek F. Holt, who discovered the same graph independently in 1976 and 1981 respectively.

Language: English [EN]
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Holt graph topic overview

The analysis highlights Overview and Gallery as prominent areas in the source structure around Holt graph.

Related topics
17
Source areas
2
Connected nodes
19
Extracted relationships
17
Concept neighborhoods
17
Bridge connections
19

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 · 16 topics
Gallery · 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.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Automorphisms
54
Book thickness
3
Chromatic index
5
Chromatic number
3
Diameter
3
Edges
54

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

Gallery

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 Holt graph connects Entity context

The extracted context around Holt graph shows recurring relationship patterns in the source. For example, Holt graph → Hamiltonian, Holt, The, The Holt Another extracted example is Holt graph → 54. Use these groups to spot repeated connection types before inspecting the individual relationships.

Holt graph

Top relations

related to Gallery · 4
Holt graph → Hamiltonian, Holt, The, The Holt
Automorphisms · 1
Holt graph → 54
Book thickness · 1
Holt graph → 3
Chromatic index · 1
Holt graph → 5
Chromatic number · 1
Holt graph → 3
Diameter · 1
Holt graph → 3
Edges · 1
Holt graph → 54
Girth · 1
Holt graph → 5
Named after · 1
Holt graph → Derek F. Holt
Properties · 1
Holt graph → Vertex-transitive Edge-transitive Half-transitive Hamiltonian Eulerian Cayley graph

Important terminology

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

Important terminology

graph holt number chromatic hamiltonian vertices edges symmetric index vertex-transitive edge-transitive doyle also group half-transitive diameter girth graphs named derek

Holt graph relationships Subject–Predicate–Object triples

TTTA extracted 17 structured relationships around Holt graph. Examples in this analysis include Holt graph → Automorphisms → 54 and Holt graph → Book thickness → 3. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Holt graphAutomorphisms541.00infobox
Holt graphBook thickness31.00infobox
Holt graphChromatic index51.00infobox
Holt graphChromatic number31.00infobox
Holt graphDiameter31.00infobox
Holt graphEdges541.00infobox
Holt graphGirth51.00infobox
Holt graphNamed afterDerek F. Holt1.00infobox
Holt graphPropertiesVertex-transitive Edge-transitive Half-transitive Hamiltonian Eulerian Cayley graph1.00infobox
Holt graphQueue number31.00infobox
Holt graphRadius31.00infobox
Holt graphVertices271.00infobox
Holt graphis aunit distance graph0.90text

Related concept clusters Concept neighborhoods

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

  • Holt graph
    • Holt
    • Chromatic
    • Hamiltonian
    • Index
    • Diameter
    • Girth
    • Half-transitive
    • Radius
    • Vertex-transitive
    • Edges
    • Vertices
    • Number
  • holt graph
    • Holt
    • Chromatic
    • Hamiltonian
    • Index
    • Diameter
    • Edges
    • Girth
    • Half-transitive
    • Radius
    • Vertex-transitive
    • Vertices
    • Number
  • graph theory
    • Holt
    • Symmetric
    • Vertex-transitive
    • Chromatic
    • Edges
    • Hamiltonian
    • Index
    • Vertices
    • Number
    • Also
    • Diameter
    • Edge-transitive
  • half-transitive graph
    • Vertex-transitive
    • Holt
    • Smallest
    • Theory
    • Book
    • Diameter
    • Girth
    • Graphs
    • Queue
    • Radius
    • Symmetric
    • Thickness
  • unit distance graph
    • Holt
    • Chromatic
    • Edges
    • Hamiltonian
    • Index
    • Vertices
    • Number
    • Also
    • Diameter
    • Edge-transitive
    • Girth
    • Half-transitive
  • edge-transitive
    • Half-transitive
    • Vertex-transitive
    • Example
    • Smallest
    • Theory
    • Also
    • Book
    • Diameter
    • Girth
    • Graphs
    • Queue
    • Radius
  • chromatic number
    • Index
    • Diameter
    • Girth
    • Radius
    • Book
    • Hamiltonian
    • Queue
    • Thickness
    • Edges
    • Number
    • Vertices
    • Holt
  • diameter
    • Girth
    • Radius
    • Chromatic
    • Hamiltonian
    • Index
    • Cycles
    • Distinct
    • Number
    • Book
    • Edge-transitive
    • Graphs
    • Half-transitive

Connections between topic areas Semantic bridges

For Holt graph, one of the stronger structural bridges in this analysis connects Holt 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
Holt graph — Overview · splits 3 ⟂ 17

Map overview Semantic statistics

Holt graph

Nodes20
Edges19
Triples17
Avg. degree1.9
Density0.1
Components1

Source & methodology

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

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

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