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In the mathematical field of graph theory, the odd graphs are a family of symmetric graphs defined from certain set systems. They include and generalize the Petersen graph.
History & Applications
Explore the main themes, entities and connections around Odd 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.
displaystyle odd graph graphs set vertices 2n-1 sets girth n-1 edge independent petersen diameter cycles number two tbinom edges vertex
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Odd graph | Diameter | n − 1 {\displaystyle n-1} | 1.00 | infobox |
| Odd graph | Edges | n ( 2 n − 1 n − 1 ) / 2 {\displaystyle n{\tbinom {2n-1}{n-1}}/2} | 1.00 | infobox |
| Odd graph | Girth | 3 for O 2 {\displaystyle O_{2}} 5 for O 3 {\displaystyle O_{3}} 6 otherwise | 1.00 | infobox |
| Odd graph | Notation | On | 1.00 | infobox |
| Odd graph | Properties | Distance-transitive | 1.00 | infobox |
| Odd graph | Vertices | ( 2 n − 1 n − 1 ) {\displaystyle {\tbinom {2n-1}{n-1}}} | 1.00 | infobox |
| Odd graph | related to Definition and examples | The | 0.60 | section |
| Odd graph | related to Definition and examples | Two | 0.60 | section |
| Odd graph | related to Definition and examples | That | 0.60 | section |
| Odd graph | related to Definition and examples | Kneser | 0.60 | section |
| Odd graph | related to Definition and examples | KG | 0.60 | section |
| Odd graph | related to Definition and examples | Petersen | 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.