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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 wikiPageLength "7255".
- Petersen_family wikiPageOutDegree "35".
- Petersen_family wikiPageRevisionID "668586928".
- Petersen_family wikiPageWikiLink Apex_graph.
- Petersen_family wikiPageWikiLink Category:Graph_families.
- Petersen_family wikiPageWikiLink Category:Graph_minor_theory.
- Petersen_family wikiPageWikiLink Complete_bipartite_graph.
- Petersen_family wikiPageWikiLink Complete_graph.
- Petersen_family wikiPageWikiLink Cycle_(graph_theory).
- Petersen_family wikiPageWikiLink Euclidean_space.
- Petersen_family wikiPageWikiLink Forbidden_graph_characterization.
- Petersen_family wikiPageWikiLink Forbidden_minor.
- Petersen_family wikiPageWikiLink Graph_(mathematics).
- Petersen_family wikiPageWikiLink Graph_minor.
- Petersen_family wikiPageWikiLink Graph_theory.
- Petersen_family wikiPageWikiLink Horst_Sachs.
- Petersen_family wikiPageWikiLink Julius_Petersen.
- Petersen_family wikiPageWikiLink Link_(knot_theory).
- Petersen_family wikiPageWikiLink Linkless_embedding.
- Petersen_family wikiPageWikiLink Minor_(graph_theory).
- Petersen_family wikiPageWikiLink Multigraph.
- Petersen_family wikiPageWikiLink Neil_Robertson_(mathematician).
- Petersen_family wikiPageWikiLink Paul_Seymour_(mathematician).
- Petersen_family wikiPageWikiLink Petersen_graph.
- Petersen_family wikiPageWikiLink Planar_graph.
- Petersen_family wikiPageWikiLink Robertson–Seymour_theorem.
- Petersen_family wikiPageWikiLink Robin_Thomas_(mathematician).
- Petersen_family wikiPageWikiLink Star_(graph_theory).
- Petersen_family wikiPageWikiLink Undirected_graph.
- Petersen_family wikiPageWikiLink Wagners_theorem.
- Petersen_family wikiPageWikiLink Y-Δ_transform.
- Petersen_family wikiPageWikiLink File:Apex_rhombic_dodecahedron.svg.
- Petersen_family wikiPageWikiLink File:Petersen_family.svg.
- Petersen_family wikiPageWikiLinkText "Petersen family".
- Petersen_family hasPhotoCollection Petersen_family.
- Petersen_family wikiPageUsesTemplate Template:Reflist.
- Petersen_family subject Category:Graph_families.
- Petersen_family subject Category:Graph_minor_theory.
- Petersen_family hypernym Set.
- Petersen_family type Graph.
- 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 "Petersen family".
- Petersen_family sameAs Famille_de_Petersen.
- Petersen_family sameAs m.0cm9y_6.
- Petersen_family sameAs Q3065962.
- Petersen_family sameAs Q3065962.
- Petersen_family wasDerivedFrom Petersen_family?oldid=668586928.
- Petersen_family depiction Petersen_family.svg.
- Petersen_family isPrimaryTopicOf Petersen_family.