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In the mathematical field of graph theory, the windmill graph Wd(k,n) is an undirected graph constructed for k ≥ 2 and n ≥ 2 by joining n copies of the complete graph Kk at a shared universal vertex. That is, it is a 1-clique-sum of these complete graphs.
Labeling and colouring, Properties & Special cases
Explore the main themes, entities and connections around Windmill graph. Start with the topic map, then use the sections below for research and deeper semantic analysis.
Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.
High-confidence facts extracted from structured source data. Use them as anchors for further research.
Browse the full topic structure. 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.
See the strongest relationship patterns around the current topic before diving into the raw triples.
Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.
wd graph windmill complete graceful graphs chromatic proved vertex vertices edges block nk radius diameter girth number index mathematical 1-clique-sum
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Windmill graph | Chromatic index | n(k − 1) | 1.00 | infobox |
| Windmill graph | Chromatic number | k | 1.00 | infobox |
| Windmill graph | Diameter | 2 | 1.00 | infobox |
| Windmill graph | Edges | .mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:cent… | 1.00 | infobox |
| Windmill graph | Girth | 3 if k > 2 | 1.00 | infobox |
| Windmill graph | Notation | Wd(k,n) | 1.00 | infobox |
| Windmill graph | Radius | 1 | 1.00 | infobox |
| Windmill graph | Vertices | n(k − 1) + 1 | 1.00 | infobox |
| Windmill graph | related to Labeling and colouring | The | 0.60 | section |
| Windmill graph | related to Labeling and colouring | Its | 0.60 | section |
| Windmill graph | related to Labeling and colouring | Wd | 0.60 | section |
| Windmill graph | related to Labeling and colouring | In | 0.60 | section |
These clusters group vocabulary that occurs around closely connected concepts in the source material.
Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.