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- Q3065962 subject Q7217193.
- Q3065962 subject Q8498914.
- Q3065962 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.".
- Q3065962 thumbnail Petersen_family.svg?width=300.
- Q3065962 wikiPageWikiLink Q1110301.
- Q3065962 wikiPageWikiLink Q131476.
- Q3065962 wikiPageWikiLink Q1396427.
- Q3065962 wikiPageWikiLink Q141488.
- Q3065962 wikiPageWikiLink Q1531456.
- Q3065962 wikiPageWikiLink Q17295.
- Q3065962 wikiPageWikiLink Q1760728.
- Q3065962 wikiPageWikiLink Q2159915.
- Q3065962 wikiPageWikiLink Q245595.
- Q3065962 wikiPageWikiLink Q2589168.
- Q3065962 wikiPageWikiLink Q2642629.
- Q3065962 wikiPageWikiLink Q3527155.
- Q3065962 wikiPageWikiLink Q455001.
- Q3065962 wikiPageWikiLink Q45715.
- Q3065962 wikiPageWikiLink Q4779442.
- Q3065962 wikiPageWikiLink Q5467387.
- Q3065962 wikiPageWikiLink Q547823.
- Q3065962 wikiPageWikiLink Q6554389.
- Q3065962 wikiPageWikiLink Q7217193.
- Q3065962 wikiPageWikiLink Q78039.
- Q3065962 wikiPageWikiLink Q7959587.
- Q3065962 wikiPageWikiLink Q835614.
- Q3065962 wikiPageWikiLink Q8498914.
- Q3065962 wikiPageWikiLink Q905837.
- Q3065962 wikiPageWikiLink Q913598.
- Q3065962 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.".
- Q3065962 label "Petersen family".
- Q3065962 depiction Petersen_family.svg.