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In the mathematical field of graph theory, the Dürer graph is an undirected graph with 12 vertices and 18 edges. It is named after Albrecht Dürer, whose 1514 engraving Melencolia I includes a depiction of Dürer's solid, a convex polyhedron having the Dürer graph as its skeleton. Dürer's solid is one of only four well-covered simple convex polyhedra.
The analysis highlights Graph-theoretic properties, Dürer's solid and Symmetries as prominent areas in the source structure around Dürer 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 Dürer graph shows recurring relationship patterns in the source. For example, Dürer graph → As, Dürer, Dürer's, It, Petersen, The, The Dürer, Y-Δ Another extracted example is Dürer graph → 3-vertex-connected simple planar graph.The Dürer graph is a well-covered graph, graph formed by the vertices and edges of the Dürer solid, undirected graph with 12 vertices and 18 edges, unit distance graph. 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.
graph dürer solid well-covered dürer's vertices graphs convex hamiltonian mr simple cubic planar 12 edges journal polyhedron four cube doi
TTTA extracted 29 structured relationships around Dürer graph. Examples in this analysis include Dürer graph → Automorphisms → 12 (D6) and Dürer graph → Chromatic index → 3. The table shows each extracted connection, where it came from and its confidence.
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Dürer graph | Automorphisms | 12 (D6) | 1.00 | infobox |
| Dürer graph | Chromatic index | 3 | 1.00 | infobox |
| Dürer graph | Chromatic number | 3 | 1.00 | infobox |
| Dürer graph | Diameter | 4 | 1.00 | infobox |
| Dürer graph | Edges | 18 | 1.00 | infobox |
| Dürer graph | Girth | 3 | 1.00 | infobox |
| Dürer graph | Named after | Albrecht Dürer | 1.00 | infobox |
| Dürer graph | Properties | Cubic Planar Unit distance Well-covered | 1.00 | infobox |
| Dürer graph | Radius | 3 | 1.00 | infobox |
| Dürer graph | Vertices | 12 | 1.00 | infobox |
| Dürer graph | is a | undirected graph with 12 vertices and 18 edges | 0.90 | text |
| Dürer graph | is a | graph formed by the vertices and edges of the Dürer solid | 0.90 | text |
| Dürer graph | is a | 3-vertex-connected simple planar graph.The Dürer graph is a well-covered graph | 0.90 | text |
| Dürer graph | is a | unit distance graph | 0.90 | text |
The concept neighborhoods around Dürer graph bring nearby vocabulary together. In this analysis, examples include Dürer, Graph and Solid. Use the clusters to find adjacent concepts and terminology that may deserve separate research.
For Dürer graph, one of the stronger structural bridges in this analysis connects Dürer graph with Graph-theoretic properties. 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 Dürer graph to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Graph-theoretic properties, Dürer's solid & Symmetries, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.
Source: Wikipedia — Dürer graph · EN edition · Analysis: TopicsToTalkAbout