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In the mathematical field of graph theory, the Tutte graph is a 3-regular graph with 46 vertices and 69 edges named after W. T. Tutte. It has chromatic number 3, chromatic index 3, girth 4 and diameter 8.
The analysis highlights Construction, Algebraic properties and Related graphs as prominent areas in the source structure around Tutte graph.
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.
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.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
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.
Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.
The extracted context around Tutte graph shows recurring relationship patterns in the source. For example, Tutte graph → Although, Barnette, Bosák, Faulkner, Grinberg, Hamiltonian, In, Lederberg, Tait's, Tutte, Younger Another extracted example is Tutte graph → 3-regular graph with 46 vertices and 69 edges named after W, cubic polyhedral graph, first 3-regular non-Hamiltonian polyhedral graph to be discovered. Use these groups to spot repeated connection types before inspecting the individual relationships.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
tutte graph vertices graphs non-hamiltonian 3-regular conjecture polyhedral edges planar cubic polyhedron constructed counterexample named chromatic number index girth diameter
TTTA extracted 27 structured relationships around Tutte graph. Examples in this analysis include Tutte graph → Automorphisms → 3 (Z/3Z) and Tutte graph → Chromatic index → 3. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Tutte graph | Automorphisms | 3 (Z/3Z) | 1.00 | infobox |
| Tutte graph | Chromatic index | 3 | 1.00 | infobox |
| Tutte graph | Chromatic number | 3 | 1.00 | infobox |
| Tutte graph | Diameter | 8 | 1.00 | infobox |
| Tutte graph | Edges | 69 | 1.00 | infobox |
| Tutte graph | Girth | 4 | 1.00 | infobox |
| Tutte graph | Named after | W. T. Tutte | 1.00 | infobox |
| Tutte graph | Properties | Cubic Planar Polyhedral | 1.00 | infobox |
| Tutte graph | Radius | 5 | 1.00 | infobox |
| Tutte graph | Vertices | 46 | 1.00 | infobox |
| Tutte graph | is a | 3-regular graph with 46 vertices and 69 edges named after W | 0.90 | text |
| Tutte graph | is a | cubic polyhedral graph | 0.90 | text |
| Tutte graph | is a | first 3-regular non-Hamiltonian polyhedral graph to be discovered | 0.90 | text |
The concept neighborhoods around Tutte graph bring nearby vocabulary together. In this analysis, examples include Tutte, Polyhedral and Non-hamiltonian. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Tutte graph, one of the stronger structural bridges in this analysis connects Tutte 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.
TTTA analyzes the structure around Tutte graph to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Construction, Algebraic properties & Related graphs, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Tutte graph · EN edition · Analysis: TopicsToTalkAbout