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In graph theory, the star Sk is the complete bipartite graph K1, k, that is, it is a tree with one internal node and k leaves. Alternatively, some authors define Sk to be the tree of order k with maximum diameter 2, in which case a star of k > 2 has k − 1 leaves.
Applications & Art
Explore the main themes, entities and connections around Star (graph theory). 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.
star graph tree sk graphs diameter one claw stars also edges chromatic number edge-transitive connected vertex leaves bipartite girth vertices
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Star (graph theory) | Chromatic index | k | 1.00 | infobox |
| Star (graph theory) | Chromatic number | 2 | 1.00 | infobox |
| Star (graph theory) | Diameter | 2 | 1.00 | infobox |
| Star (graph theory) | Edges | k | 1.00 | infobox |
| Star (graph theory) | Girth | ∞ {\displaystyle \infty } | 1.00 | infobox |
| Star (graph theory) | Notation | Sk | 1.00 | infobox |
| Star (graph theory) | Properties | Edge-transitive Tree Unit distance Bipartite | 1.00 | infobox |
| Star (graph theory) | Vertices | k + 1 | 1.00 | infobox |
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.