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- Petersen_family abstract "In graph theory, the Petersen family is a set of seven undirected graphs that includes the Petersen graph and the complete graph K6. The Petersen family is named after Danish mathematician Julius Petersen, the namesake of the Petersen graph.Any of the graphs in the Petersen family can be transformed into any other graph in the family by Δ-Y or Y-Δ transforms, operations in which a triangle is replaced by a degree-three vertex or vice versa. These seven graphs form the forbidden minors for linklessly embeddable graphs, graphs that can be embedded into three-dimensional space in such a way that no two cycles in the graph are linked. They are also among the forbidden minors for the YΔY-reducible graphs.".
- Petersen_family thumbnail Petersen_family.svg?width=300.
- Petersen_family wikiPageID "28150097".
- Petersen_family wikiPageRevisionID "577232527".
- Petersen_family hasPhotoCollection Petersen_family.
- Petersen_family subject Category:Graph_minor_theory.
- Petersen_family subject Category:Individual_graphs.
- Petersen_family type Abstraction100002137.
- Petersen_family type Communication100033020.
- Petersen_family type Graph107000195.
- Petersen_family type IndividualGraphs.
- Petersen_family type VisualCommunication106873252.
- Petersen_family comment "In graph theory, the Petersen family is a set of seven undirected graphs that includes the Petersen graph and the complete graph K6. The Petersen family is named after Danish mathematician Julius Petersen, the namesake of the Petersen graph.Any of the graphs in the Petersen family can be transformed into any other graph in the family by Δ-Y or Y-Δ transforms, operations in which a triangle is replaced by a degree-three vertex or vice versa.".
- Petersen_family label "Famille de Petersen".
- Petersen_family label "Petersen family".
- Petersen_family sameAs Famille_de_Petersen.
- Petersen_family sameAs m.0cm9y_6.
- Petersen_family sameAs Q3065962.
- Petersen_family sameAs Q3065962.
- Petersen_family sameAs Petersen_family.
- Petersen_family wasDerivedFrom Petersen_family?oldid=577232527.
- Petersen_family depiction Petersen_family.svg.
- Petersen_family isPrimaryTopicOf Petersen_family.
